@Preamble{"\def\noopsort#1{}"
# "\def\l{\char32l}"
# "\def\v#1{{\accent20 #1}} \let\^^_=\v"
# "\def\hbk{hardback}"
# "\def\pbk{paperback}"
# "\ifx\manual\undefined\font\manual=logo10\fi"
# "\ifx\LaTeXe\undefined\def\LaTeXe{\LaTeX\kern.15em2$_{\textstyle\varepsilon}$}\fi"
# "\ifx\emph\undefined\def\emph#1{{\em #1\/}}\fi"
# "\ifx\textsc\undefined\def\textsc#1{{\sc #1\/}}\fi"
}
@String{inst-ATT = "AT\&T Bell Laboratories"}
@String{inst-ATT:adr = "Murray Hill, NJ, USA"}
@String{inst-Berkeley-CS = "Department of Computer Science,
University of California"}
@String{inst-Berkeley-Math = "Department of Mathematics,
University of California"}
@String{inst-Berkeley = "University of California"}
@String{inst-Berkeley:adr = "Berkeley, CA, USA"}
@String{inst-CORNELL = "Cornell University"}
@String{inst-CORNELL:adr = "Ithaca, NY, USA"}
@String{inst-DAMTP = "Department of Applied Mathematics and
Theoretical Physics,
University of Cambridge"}
@String{inst-DAMTP:adr = "Cambridge, UK"}
@String{inst-U-Dundee = "Department of Mathematics and
Computer Science, University of Dundee"}
@String{inst-U-Dundee:adr = "Dundee, Scotland"}
@String{inst-HARWELL = "{AERE Harwell} Laboratory"}
@String{inst-IMA = "Institute for Mathematics and its
Applications, University of Minnesota"}
@String{inst-IMA:adr = "Minneapolis, MN, USA"}
@String{inst-IMA-UK = "The Institute of Mathematics and its
Applications"}
@String{inst-IMA-UK:adr = "Southend-On-Sea, Essex, UK"}
@String{inst-CS-U-KY = "Department of Mathematics,
University of Kentucky"}
@String{inst-CS-U-KY:adr = "Lexington, KY, USA"}
@String{inst-MCCM = "Manchester Centre for
Computational Mathematics"}
@String{inst-MCCM:adr = "Manchester, England"}
@String{inst-MCS-Argonne = "Mathematics and Computer Science Division,
Argonne National Laboratory"}
@String{inst-MCS-Argonne:adr = "Argonne, IL, USA"}
@String{inst-NPL = "National Physical Laboratory"}
@String{inst-NPL:adr = "Teddington, UK"}
@String{inst-ORNL = "Oak Ridge National Laboratory"}
@String{inst-ORNL:adr = "Oak Ridge, TN, USA"}
@String{inst-U-Manchester = "University of Manchester"}
@String{inst-U-Manchester:adr = "Manchester, England"}
@String{inst-CS-U-MARYLAND = "Department of Computer Science,
University of Maryland"}
@String{inst-CS-U-MARYLAND:adr = "College Park, MD, USA"}
@String{inst-NASA-Ames = "NASA Ames Research Center"}
@String{inst-NASA-Ames:adr = "Moffett Field, CA, USA"}
@String{inst-NORTHWESTERN-UNIVERSITY = "Northwestern University"}
@String{inst-NORTHWESTERN-UNIVERSITY:adr = "Evanston, IL, USA"}
@String{inst-RICE-CAM = "Department of Computational and Applied
Mathematics"}
@String{inst-RICE-CAM:adr = "Rice University, Houston, TX, USA"}
@String{inst-CS-U-STANFORD = "Department of Computer Science,
Stanford University"}
@String{inst-OR-U-STANFORD = "Department of Operations Research,
Stanford University"}
@String{inst-U-STANFORD:adr = "Stanford, CA, USA"}
@String{inst-CS-U-Tenn = "Department of Computer Science,
University of Tennessee"}
@String{inst-CS-U-Tenn:adr = "Knoxville, TN, USA"}
@String{inst-Math-UCLA = "Department of Mathematics,
University of California"}
@String{inst-Math-UCLA:adr = "Los Angeles, USA"}
@String{inst-CS-U-Umea = "Institute of Information Processing,
University of Ume{\aa}"}
@String{inst-CS-U-Umea:adr = "Ume{\aa}, Sweden"}
@String{inst-RAL = "Atlas Centre, Rutherford Appleton Laboratory"}
@String{inst-RAL:adr = "Didcot, Oxon, UK"}
@String{j-ACM = "J. Assoc. Comput. Mach."}
@String{j-ACM-SIGSOFT = "ACM Sigsoft"}
@String{j-ACTA-INFO = "Acta Informatica"}
@String{j-ACTA-MATH = "Acta Mathematica"}
@String{j-AEQUATIONES-MATHEMATICAE = "Aequationes Mathematicae"}
@String{j-AHC = "Annals of the History of Computing"}
@String{j-AIAA-J = "AIAA Journal"}
@String{j-AMER-J-MATH = "Amer. J. Math."}
@String{j-AMER-J-PHYSICS = "American Journal of Physics"}
@String{j-AMER-J-SOCIOLOGY = "Amer. J. Sociology"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-AMER-PSYCHOLOGIST = "American Psychologist"}
@String{j-AMER-SCIENTIST = "American Scientist"}
@String{j-AMER-STAT = "The American Statistician"}
@String{j-AMM = "Amer. Math. Monthly"}
@String{j-ANAL-CHEM = "Analytical Chemistry"}
@String{j-ANESTHESIA-ANALGESIA-CURR-RESEARCHES = "Anesthesia and Analgesia
\dots Current Researches"}
@String{j-ANN-OPER-RESEARCH = "Annals of Operations Research"}
@String{j-ANN-PROBAB = "Ann. Probab."}
@String{j-ANNALS-MATH-STAT = "Annals of mathematical statistics"}
@String{j-ANNALS-STAT = "Annals of Statistics"}
@String{j-APLIKACE-MATEMATIKY = "Aplikace Matematiky"}
@String{j-APP-NUM-MATH = "Applied Numerical Mathematics"}
@String{j-APPL-MATH-COMP = "Applied Mathematics and Computation"}
@String{j-APPL-MATH-LETT = "Applied Mathematics Letters"}
@String{j-APPL-STAT = "Applied Statistics"}
@String{j-APPROX = "J. Approximation Theory"}
@String{j-ARCH-MATHEMATIK = "Archiv der Mathematik (Basel)"}
@String{j-ART-INTELL = "Artificial Intelligence"}
@String{j-ASTRON-J = "Astron. J."}
@String{j-Adv-Comp-Math = "Advances in Computational Math."}
@String{j-BAMS = "Bull. Amer. Math. Soc."}
@String{j-BELL-SYST-TECH-J = "The Bell System Technical Journal"}
@String{j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC = "Biographical Memoirs of Fellows
of the Royal Society"}
@String{j-BIOMET = "Biometrika"}
@String{j-BIOMETRIC-BULL = "Biometric Bulletin"}
@String{j-BIOMETRICAL-J = "Biometrical J."}
@String{j-BIOMETRICS = "Biometrics"}
@String{j-BIOSCI = "BioScience"}
@String{j-BIT = "BIT"}
@String{j-BRITISH-J-CANCER = "British J. Cancer"}
@String{j-BRITISH-J-MATH-STATIST-PSYCHOL = "British J. Math. Statist.
Psychol."}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-BULL-AMS-NEW = "Bull. (New Series) AMS"}
@String{j-BULL-AUSTRAL-MATH-SOC = "Bulletin of the Australian Mathematical
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@String{j-BULL-GEODESIQUE = "Bulletin G\'eod\'esique (Toulouse)"}
@String{j-BULL-LONDON-MS = "Bull. London Math. Soc."}
@String{j-BULL-SOC-MATH-FRANCE = "Bulletin de la Soci\'et\'e Math\'ematique
de France"}
@String{j-BYTE = "BYTE Magazine"}
@String{j-C-R-ACAD-SCI = "Comptes Rendus de l'Acad{\'e}mie des
Sciences"}
@String{j-CACM = "Comm. ACM"}
@String{j-CAN-J-MATH = "Canadian Journal of Mathematics"}
@String{j-CAN-MATH-BULL = "Canadian Math. Bulletin"}
@String{j-CELESTIAL-MECH-DYNAMICAL-ASTRONOMY = "Celestial Mechanics and
Dynamical Astronomy"}
@String{j-CHEM-BRITAIN = "Chemistry in Britain"}
@String{j-CMJ = "College Mathematics Journal"}
@String{j-COMMENT-MATH-HELV = "Comment. Math. Helvetici"}
@String{j-COMMENT-MATH-UNIV-CAROLINEA = "Commentationes Mathematicae
Universitatis Carolinea"}
@String{j-COMMUN-MATH-PHYS = "Commun. Math. Phys."}
@String{j-COMMUN-STATIST-SIMULA-COMPUTA = "Commun. Statist.-Simula. Computa."}
@String{j-COMP-ARCH-NEWS = "ACM SIGARCH Computer Architecture News"}
@String{j-COMP-BIOCHEM-PHYSIOL = "Comp. Biochem. Physiol."}
@String{j-COMP-J = "Computer Journal"}
@String{j-COMP-J = "The Computer Journal"}
@String{j-COMP-LANG-MAG = "Computer Language Magazine"}
@String{j-COMP-MATH = "Computational Mathematics"}
@String{j-COMP-METH-APPL-MECH-ENG = "Computer Methods in Applied
Mechanics and Engineering"}
@String{j-COMP-OP-RES = "Computers and Operations Research"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMP-STRUCTURES = "Computers and Structures"}
@String{j-COMP-SURV = "ACM Computing Surveys"}
@String{j-COMPOS-MATH = "Compositio Mathematica"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with Applications"}
@String{j-COMPUTER = "Computer"}
@String{j-COMPUTING = "Computing"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-CURR-CONT = "Current Contents: Physical, Chemical \&
Earth Sciences"}
@String{j-CZECH-MATH-J = "Czechoslovak Math. J."}
@String{j-DEMONSTRATIO-MATHEMATICA = "Demonstratio Mathematica"}
@String{j-DUKE-MATH-J = "Duke Math. J."}
@String{j-ELEM-MATH = "Elemente der Mathematik"}
@String{j-ENGLISH-LANGUAGE-TEACHING = "English Language Teaching"}
@String{j-EPODD = "Electronic
Pub\-lish\-ing\emdash{}Orig\-i\-na\-tion,
Dissemination, and Design"}
@String{j-EUROMATH-BULL = "Euromath Bulletin"}
@String{j-FORTRAN-J = "Fortran Journal"}
@String{j-GUARDIAN = "The Guardian"}
@String{j-HIST-MATH = "Historia Mathematica"}
@String{j-HPJ = "Hewlett--Packard Journal"}
@String{j-IBM-JRD = "IBM Journal of Research and Development"}
@String{j-IBM-SYS-J = "IBM Systems Journal"}
@String{j-IEE-PROC = "IEE Proc."}
@String{j-IEEE-AC = "IEEE Trans. Automat. Control."}
@String{j-IEEE-C = "IEEE Trans. Comput."}
@String{j-IEEE-COMPUTER = "IEEE Computer"}
@String{j-IEEE-MICRO = "IEEE Micro"}
@String{j-IEEE-PC = "IEEE Trans. Prof. Commun."}
@String{j-IEEE-SE = "IEEE Trans. Software Engrg."}
@String{j-IEEE-SP = "IEEE Trans. Signal Processing"}
@String{j-IEEE-SPECTRUM = "IEEE Spectrum"}
@String{j-IEEE-TRANS-ACOUST-SPEECH = "IEEE Trans. Acoustics, Speech, and
Signal Processing"}
@String{j-IEEE-TRANS-AEROSPACE = "IEEE Trans. Aerospace Electronic Systems"}
@String{j-IEEE-TRANS-ANTENNA = "IEEE Trans. Antennas Propagation"}
@String{j-IEEE-TRANS-AUTO-CONTROL = "IEEE Transactions on Automatic Control"}
@String{j-IEEE-TRANS-CIRC-SYS = "IEEE Trans. Circuits and Systems"}
@String{j-IEEE-TRANS-COMM = "IEEE Transactions on Communications"}
@String{j-IEEE-TRANS-ENG-WRITING-SPEECH = "IEEE Trans. Engineering Writing and
Speech"}
@String{j-IEEE-TRANS-PATT-ANAL-MACH-INTEL = "IEEE Transactions on Pattern
Analysis and Machine Intelligence"}
@String{j-IEEE-TRANS-POWER-SYSTEMS = "IEEE Transactions on Power Systems"}
@String{j-IEEE-TRANS-SOFTW-ENG = "IEEE Transactions on Software Engineering"}
@String{j-IJSA = "Int. J. Supercomputer Appl."}
@String{j-IMA-BULL = "IMA Bulletin"}
@String{j-IMA-J-MATH-CONTROL-INFO = "IMA J. of Math. Control and Information"}
@String{j-IMA-NUM-ANA-NEWSLETTER = "IMA Numerical Analysis Newsletter"}
@String{j-IMAJNA = "IMA J. Numer. Anal."}
@String{j-INDIANA-U-MATH = "Indiana Univ. Math. J."}
@String{j-INDUST-MATH = "Indust. Math."}
@String{j-INFO-PROC-LETT = "Information Processing Letters"}
@String{j-INT-EQN-OP-TH = "Integral Equations and Operator Theory"}
@String{j-INT-J-COMP-MATH-APPL = "International J. Computer and Mathematics
with Applications"}
@String{j-INT-J-CTL = "Internat. J. Control"}
@String{j-INT-J-HIGH-SPEED-COMPUTING = "Int Journal of High Speed Computing"}
@String{j-INT-J-NUM-METH-ENG = "International J. Numer. Methods
Engineering"}
@String{j-INT-J-PARALLEL-PROG = "International Journal of Parallel
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@String{j-INT-J-SYS-SCI = "Int. J. Systems Sci."}
@String{j-INVERSE-PROBLEMS = "Inverse Problems"}
@String{j-ISRAEL-MATH = "Israel J. Math"}
@String{j-J-AMER-MED-ASSOC = "J. Amer. Medical Assoc."}
@String{j-J-AMER-STAT-ASSOC = "J. Amer. Statist. Assoc."}
@String{j-J-APPL-MATH-PHYS = "J. Appl. Math. Phys. (ZAMP)"}
@String{j-J-APPL-MECH = "Journal of Applied Mechanics"}
@String{j-J-APPROX-THEORY = "J. Approximation Theory"}
@String{j-J-AUSTRALIAN-MATH-SOC = "J. Australian Math. Soc."}
@String{j-J-COMP-MATH = "J. Comput. Math."}
@String{j-J-COMP-PHYS = "J. Comput. Phys."}
@String{j-J-COMPUT-CHEM = "Journal of Computational Chemistry"}
@String{j-J-DYNAMIC-SYS-MEASUREMENT-CONTROL = "Journal of Dynamic Systems,
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@String{j-J-ENG-MECH = "J. Eng. Mech."}
@String{j-J-FUNC-ANAL = "J. Functional Analysis"}
@String{j-J-INFO-PROC-CYBERNETICS-EIK = "J. Information Processing and
Cybernetics-EIK"}
@String{j-J-INFO-PROC-SOC-JAPAN = "Journal of Information Processing"}
@String{j-J-LONDON-MATH-SOC = "J. London Math. Soc."}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
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@String{j-J-MATH-PHYS = "J. Math. Phys."}
@String{j-J-NUM-LIN-ALG-APPL = "J. Numer. Lin. Alg. Appl."}
@String{j-J-NUMBER-THEORY = "Journal of Number Theory"}
@String{j-J-OP-RES-SOC = "Journal of the Operational Research
Society"}
@String{j-J-OPT-THEORY-APPL = "Journal of Optimization Theory and
Applications"}
@String{j-J-PAR-DIST-COMP = "Journal of Parallel and Distributed
Computing"}
@String{j-J-REINE-ANG-MATH = "Journal f{\"{u}}r die reine und angewandte
Mathematik"}
@String{j-J-RES-NBS = "J. Res. Nat. Bur. Standards"}
@String{j-J-RES-NBS-B = "J. Res. Nat. Bur. Standards Sect. B"}
@String{j-J-SCIENT-INSTR = "Journal of Scientific Instruments"}
@String{j-J-SOC-IND-MATH = "J. Soc. Indust. Appl. Math."}
@String{j-J-STAT-COMPUT-SIMUL = "Journal of Statistical Computation and
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@String{j-J-SUPERCOMPUTING = "The Journal of Supercomputing"}
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@String{j-JAMS = "J. Amer. Math. Soc."}
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@String{j-JCAM = "J. Comp. Appl. Math."}
@String{j-JIMA = "J. Inst. Maths Applics"}
@String{j-JNLAA = "Journal of Numerical Linear Algebra with
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@String{j-LAA = "Linear Algebra and Appl."}
@String{j-LENSEIGNEMENT-MATH = "L'Enseignement Math\'ematique"}
@String{j-LIN-ALG-APP = "Linear Alg. and its Appl."}
@String{j-LIN-AND-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-MATH-BIOSCI = "Mathematical Biosciences"}
@String{j-MATH-COMP = "Math. Comp."}
@String{j-MATH-CTRL-SIG-SYS = "Math. Control, Signals and Sys."}
@String{j-MATH-GAZ = "Mathematical Gazette"}
@String{j-MATH-INTEL = "The Mathematical Intelligencer"}
@String{j-MATH-MAG = "Mathematics Magazine"}
@String{j-MATH-PROG = "Math. Prog."}
@String{j-MATH-PROG-SOC-COAL-NEWSLETTER = "Mathematical Programming Society
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@String{j-MATH-PROG-STUDY = "Mathematical Programming Study"}
@String{j-MATH-REV = "Math. Rev."}
@String{j-MATH-SCAND = "Math. Scand"}
@String{j-MATH-STOS = "Math. Stos."}
@String{j-MATH-TAB = "Mathematical Tables and Other Aids to
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@String{j-MATH-ZEITSCHR = "Math. Zeitschr."}
@String{j-MATHEMATICA-J = "Mathematica Journal"}
@String{j-MATHEMATIKA = "Mathematika"}
@String{j-MATHWORKS-NEWSLETTER = "The MathWorks Newsletter"}
@String{j-MEM-AMS = "Memoirs of the American Mathematical
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@String{j-MIND = "MIND: A Quarterly Review of
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@String{j-MTAC = "M.T.A.C."}
@String{j-NA-DIGEST = "NA Digest"}
@String{j-NAMS = "Notices Amer. Math. Soc."}
@String{j-NATURE = "Nature"}
@String{j-NEW-ENGLAND-J-MED = "The New England Journal of Medicine"}
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@String{j-NLAA = "Numerical Linear Algebra with Applications"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-NUM-LINEAR-ALGEBRA-WITH-APPL = "Numerical Linear Algebra with
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@String{j-NUM-MATH = "Numer. Math."}
@String{j-NY-TIMES = "New York Times"}
@String{j-PACIFIC-MATH = "Pacific J. Math."}
@String{j-PAR-COMP = "Parallel Computing"}
@String{j-PARALLEL-COMPUTING = "Parallel Computing"}
@String{j-PC-COMPUTING = "PC\slash Computing"}
@String{j-PERS-COMP-WORLD = "Personal computer world"}
@String{j-PERSPECTIVES-BIO-MED = "Perspectives in Biology and Medicine"}
@String{j-PHIL-MAGAZINE = "Philosophical Magazine"}
@String{j-PHYS-LET-A = "Physics Letters A"}
@String{j-PHYS-LET-B = "Physics Letters B"}
@String{j-PHYS-REV = "Physical Review"}
@String{j-PHYS-REV-LET = "Phys. Rev. Lett"}
@String{j-PHYS-TODAY = "Physics Today"}
@String{j-PHYS-WORLD = "Physics world"}
@String{j-PHYSICA-D = "Physica D"}
@String{j-PRIMUS = "PRIMUS (Problems Resources and Issues in
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@String{j-PROC-AMER-PHIL-SOC = "Proceedings of the American Philosophical
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@String{j-PROC-AMS = "Proc. Amer. Math. Soc."}
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@String{j-PROC-CONTROL-AUTOMATION = "Process Control and Automation"}
@String{j-PROC-EDINBURGH-MATH-SOC = "Proc. Edinburgh Math. Soc."}
@String{j-PROC-IEEE = "Proc. IEEE"}
@String{j-PROC-LONDON-MATH-SOC = "Proc. London Math. Soc."}
@String{j-PROC-NAS = "Proceedings of the National Academy of
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@String{j-PROC-NATL-ACAD-SCI-USA = "Proceedings of the National Academy of
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@String{j-PROC-ROY-SOC-EDIN = "Proc. Royal Soc. Edin."}
@String{j-PROC-ROY-SOC-LONDON-SER-A = "Proc. Roy. Soc. London Ser. A"}
@String{j-PROC-STEKLOV-INST-MATH = "Proc. Steklov Inst. Math."}
@String{j-PSYCHOMETRIKA = "Psychometrika"}
@String{j-QJMAM = "Quart. J. Mech. and Applied Math."}
@String{j-QUART-APPL-MATH = "Quarterly of Applied Mathematics"}
@String{j-QUART-J-MATH = "Quarterly Journal of Mathematics"}
@String{j-RAIRO-AUTOMATIQUE-SYSTEMS-ANA-CONTROL = "R.A.I.R.O.
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@String{j-RAIRO-NUM-ANA = "R.A.I.R.O. Numerical Analysis"}
@String{j-REE = "The Radio and Electronic Engineer"}
@String{j-SCHOLAR = "Scholarly Publishing"}
@String{j-SCI-AMER = "Scientific American"}
@String{j-SCI-PROG = "Scientific Programming"}
@String{j-SCIENCE = "Science"}
@String{j-SIAD = "SIAM J. Alg. Disc. Meth."}
@String{j-SIAM-CONTROL-OPT = "SIAM Journal on Control and Optimization"}
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@String{j-SIAM-J-COMPUT = "SIAM J. Comput."}
@String{j-SIAM-J-DISCR-MATH = "SIAM Journal on Discrete Mathematics"}
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@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and
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@String{j-SIAM-J-STAT-COMPUT = "SIAM J. Stat. Comput."}
@String{j-SIAM-NEWS = "SIAM News"}
@String{j-SIAM-REVIEW = "SIAM Review"}
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@String{j-SIBERIAN-ADV-MATH = "Siberian Advances in Mathematics"}
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@String{j-SIGPLAN = "ACM SIG{\-}PLAN Notices"}
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@String{j-SIOPT = "SIAM J. Optimization"}
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@String{j-SISC = "SIAM J. Sci. Comput."}
@String{j-SISSC = "SIAM J. Sci. Stat. Comput."}
@String{j-SOVIET-PHYS-DOKL = "Soviet Physics---Doklady"}
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@String{j-TEX-TUG-NEWS = "{\TeX} and TUG News"}
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@String{j-TOMS = "ACM Trans. Math. Software"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-TOPLAS = "ACM Transactions on Programming Languages
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@String{j-TRANS-AMER-INST-ELEC-ENG = "Trans. Amer. Inst. Elec. Eng."}
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@String{j-ZEIT-ANGE-MATH-PHYS = "Z. Angew. Math. Phys"}
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Mathematics"}
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@String{pub-SIMON-SCHUSTER = "Simon and Schuster"}
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@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg, Germany~/
London, UK~/ etc."}
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77027, USA"}
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@String{pub-WADSWORTH:adr = "Pacific Grove, CA, USA"}
@String{pub-WATCOM-PUB = "WATCOM Publications"}
@String{pub-WATCOM-PUB:adr = "Waterloo, Ontario, Canada"}
@String{pub-WELLESLEY = "Wellesley-Cambridge Press"}
@String{pub-WELLESLEY:adr = "Wellesley, MA, USA"}
@String{pub-WI = "Wiley-In{\-}ter{\-}sci{\-}ence"}
@String{pub-WI:adr = "New York, NY, USA"}
@String{pub-WILEY = "John Wiley and Sons"}
@String{pub-WILEY = "Wiley"}
@String{pub-WILEY:adr = "New York"}
@String{pub-WILEY:adr = "New York, NY, USA; London, UK; Sydney,
Australia"}
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@String{pub-WS = "World Scientific"}
@String{pub-WS:adr = "Singapore"}
@String{pub-WWNORTON = "W.W. Norton"}
@String{pub-WWNORTON:adr = "New York, NY, USA"}
@String{pub-YALE = "Yale University Press"}
@String{pub-YALE:adr = "New Haven, CT, USA"}
@String{ser-LNCS = "Lecture Notes in Computer Science"}
@Proceedings{Anonymous:1978:CDJ,
editor = "Anonymous",
title = "The Contribution of {Dr. J. H. Wilkinson} to Numerical
Analysis",
publisher = "The Institute of Mathematics and its Applications",
address = "",
pages = "??--??",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Symposium Proceedings Series No. 19",
mynote = "No editor, although MJDP `organised'.",
}
@Book{IBM:1988:ESS,
author = "IBM",
title = "Engineering and Scientific Subroutine Library, Guide
and Reference, Release 3",
publisher = pub-IBM,
address = "",
edition = "Fourth Edition (Program Number 5668-863)",
pages = "??--??",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Aasen:1971:RSM,
author = "Jan Ole Aasen",
title = "On the Reduction of a Symmetric Matrix to Tridiagonal
Form",
journal = j-BIT,
volume = "11",
pages = "233--242",
year = "1971",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Sat Mar 4 14:16:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Abaffy:1984:CDM,
author = "J. Abaffy and C. G. Broyden and E. Spedicato",
title = "A Class of Direct Methods for Linear Systems",
journal = j-NUM-MATH,
volume = "45",
pages = "361--376",
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Abdelmalek:1971:REA,
author = "Nabih N. Abdelmalek",
title = "Round Off Error Analysis for {Gram--Schmidt} Method
and Solution of Linear Least Squares Problems",
journal = j-BIT,
volume = "11",
pages = "345--368",
year = "1971",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Abdelmalek:1974:SLL,
author = "Nabih N. Abdelmalek",
title = "On the Solution of the Linear Least Squares Problems
and Pseudo-Inverses",
journal = j-COMPUTING,
volume = "13",
pages = "215--228",
year = "1974",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Sun Jan 29 14:16:27 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Book{Aberth:1988:PNA,
author = "Oliver Aberth",
title = "Precise Numerical Analysis",
publisher = pub-W-C-BROWN,
address = pub-W-C-BROWN:adr,
pages = "x + 225",
year = "1988",
ISBN = "0-697-06760-2",
ISBN-13 = "978-0-697-06760-9",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Saw JWD's copy. Poor. Applies range arithmetic
(midpoint plus tolerance) to some basic NA problems.
Comes with disk for PBasic - Precision Basic for PC.",
}
@Article{Aberth:1992:PCU,
author = "Oliver Aberth and Mark. J. Schaefer",
title = "Precise Computation Using Range Arithmetic, via
{C++}",
journal = j-TOMS,
volume = "18",
number = "4",
pages = "481--491",
year = "1992",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Abramowitz:1964:HMF,
editor = "Milton Abramowitz and Irene A. Stegun",
key = "NBS",
title = "Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables",
volume = "55",
publisher = "U. S. Department of Commerce",
address = "Washington, DC, USA",
pages = "xiv + 1046",
year = "1964",
LCCN = "QA47.A161 1972; QA 55 A16h 1972",
bibdate = "Thu Jan 27 07:58:12 2000",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
note = "Tenth printing, with corrections (December 1972). This
book is also available online at
\path=http://www.convertit.com/Go/ConvertIt/Reference/AMS55.ASP=
in bitmap image format.",
series = "Applied mathematics series",
abstract = "This book is a compendium of mathematical formulas,
tables, and graphs. It contains a table of analytical
integrals, differential equations, and numerical
series; and includes tables of trigonometric and
hyperbolic functions, tables for numerical integration,
rules for differentiation and integration, and
techniques for point interpolation and function
approximation. Additionally, it devotes a entire
section to mathematical and physical constants as
fractions and powers of Pi, e, and prime numbers; and
discusses statistics by presenting combinatorial
analysis and probability functions.",
acknowledgement = ack-nhfb,
tableofcontents = "Mathematical constants / David S. Liepman \\
Physical constants and conversion factors / A. G.
McNish \\
Elementary analytical methods / Milton Abramowitz \\
Elementary transcendental functions: logarithmic,
exponential, circular and hyperbolic functions / Ruth
Zucker \\
Exponential integral and related functions / Walter
Gautschi and William F. Cahill \\
Gamma function and related functions / Philip J. Davis
\\
Error function and Fresnel integrals / Walter Gautschi
\\
Legendre functions / Irene A. Stegun \\
Bessel functions of integer order / F. W. J. Olver \\
Bessell functions of fractional order / H. A.
Antosiewicz \\
Integrals of Bessel functions / Yudell L. Luke \\
Struve functions and related functions / Milton
Abramowitz \\
Confluent hypergeometric functions / Lucy Joan Slater
\\
Coulomb wave functions / Milton Abramowitz \\
Hypergeometric functions / Fritz Oberhettinger \\
Jacobian elliptic functions and theta functions;
Elliptic integrals / L. M. Milne-Thomson \\
Weierstrass elliptic and related functions / Thomas H.
Southard \\
Parabolic cylinder functions / J. C. P. Miller\ldots{}
Mathieu functions / Gertrude Blanch \\
Spheroidal wave functions / Arnold N. Lowan \\
Orthogonal polynomials / Urs W. Hochstrasser \\
Bernoulli and Euler polynomials, Riemann zeta function
/ Emilie V. Haynesworth and Karl Goldberg \\
Combinatorial analysis / K. Goldberg, M. Newman and E.
Haynesworth \\
Numerical interpolation, differentiation and
integration / Philip J. Davis and Ivan Polonsky \\
Probability functions / Marvin Zelen and Norman C.
Severo \\
Miscellaneous functions / Irene A. Stegun \\
Scales of notation / S. Peavy and A. Schopf \\
Laplace transforms",
}
@Book{Iserles:1992:AN,
editor = "A. Iserles",
key = "acta92",
title = "Acta Numerica 1992",
publisher = pub-CUP,
address = pub-CUP:adr,
pages = "407",
year = "1992",
ISBN = "0-521-41026-6",
ISBN-13 = "978-0-521-41026-7",
LCCN = "QA297.A21 1992",
bibdate = "Thu Nov 23 15:09:36 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Anonymous:1994:AN,
key = "acta94",
title = "Acta Numerica 1994",
publisher = pub-CUP,
address = "????",
pages = "572",
year = "1994",
ISBN = "0-521-46181-2",
ISBN-13 = "978-0-521-46181-8",
LCCN = "QA297 .A21 1994",
bibdate = "Thu Nov 23 15:09:36 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Anonymous:1995:AN,
key = "acta95",
title = "Acta Numerica 1995",
publisher = pub-CUP,
address = "????",
pages = "491",
year = "1995",
ISBN = "0-521-48255-0",
ISBN-13 = "978-0-521-48255-4",
bibdate = "Thu Nov 23 15:09:36 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Acton:1970:NMW,
author = "Forman S. Acton",
title = "Numerical Methods That Work",
publisher = pub-HARPER-ROW,
address = pub-HARPER-ROW:adr,
pages = "xviii + 541",
year = "1970",
ISBN = "0-88385-450-3",
ISBN-13 = "978-0-88385-450-1",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted by Mathematical Association of America,
Washington, DC, with new preface and additional
problems, 1990",
}
@Article{Acton:1974:RRF,
author = "F. S. Acton",
title = "Recurrence relations for the Fresnel integral
{$\int_0^{\infty} \exp(-ct)dt/\sqrt{t(1+t^2)}$} and
similar integrals",
journal = j-CACM,
volume = "17",
pages = "480--481",
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Adams:1967:SCP,
author = "Duane A. Adams",
title = "A Stopping Criterion for Polynomial Root Finding",
journal = j-CACM,
volume = "10",
number = "10",
pages = "655--658",
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@TechReport{Adams:1991:DAE,
author = "G. Adams and M. F. Griffin and G. W. Stewart",
title = "Direction-of-arrival estimation using the
rank-revealing {URV} decomposition",
institution = "Technical Report CS-TR 2640, Department of Computer
Science, University of Maryland",
address = "????",
pages = "????",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "March",
}
@Article{Adams:1994:TDC,
author = "Loyce Adams and Peter Arbenz",
title = "Towards a Divide and Conquer Algorithm for the Real
Nonsymmetric Eigenvalue Problem",
journal = j-SIMAX,
volume = "15",
number = "4",
pages = "1333--1353",
year = "1994",
bibdate = "Sun Oct 30 22:32:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Agarwal:1993:CNM,
editor = "R. P. Agarwal",
title = "Contributions in Numerical Mathematics",
publisher = pub-WS,
address = pub-WS:adr,
pages = "475",
year = "1993",
ISBN = "981-02-1437-5",
ISBN-13 = "978-981-02-1437-1",
bibdate = "Mon Nov 27 10:03:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Aggarwal:1979:REM,
author = "Vijay B. Aggarwal and James W. Burgmeier",
title = "A Round-Off Error Model With Applications to
Arithmetic Expressions",
journal = j-SIAM-J-COMP,
volume = "8",
number = "1",
pages = "60--72",
year = "1979",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
bibdate = "Thu Oct 6 10:54:22 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ahac:1988:SFM,
author = "Alan A. Ahac and John J. Buoni and D. D. Olesky",
title = "Stable {$LU$} Factorization of {$H$}-Matrices",
journal = j-LAA,
volume = "99",
pages = "97--110",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ahac:1986:SMF,
author = "Alan A. Ahac and D. D. Olesky",
title = "A Stable Method for the {$LU$} Factorization of
{$M$}-Matrices",
journal = j-SIAD,
volume = "7",
number = "3",
pages = "368--378",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ahlberg:1963:CPS,
author = "J. H. Ahlberg and E. N. Nilson",
title = "Convergence Properties of the Spline Fit",
journal = j-J-SOC-IND-MATH,
volume = "11",
number = "1",
pages = "95--104",
year = "1963",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Seen, but not copied (in Res. Library)",
}
@Book{Aho:1974:DAC,
author = "A. V. Aho and J. E. Hopcroft and J. D. Ullman",
title = "The Design and Analysis of Computer Algorithms",
publisher = pub-AW,
address = pub-AW:adr,
pages = "????",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Aird:1975:CAU,
author = "T. J. Aird and R. E. Lynch",
title = "Computable accurate upper and lower error bounds for
approximate solutions of linear algebraic systems",
journal = j-TOMS,
volume = "1",
pages = "217--231",
year = "1975",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Albrecht:1977:BIB,
author = "J. Albrecht",
title = "Bemerkungen zu iterationsverfahren zur berechnung von
${A}^{1/2}$ und ${A}^{-1}$",
journal = j-ZEIT-ANGE-MATH-MECH,
volume = "57",
pages = "T262--T263",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Alefeld:1983:IIC,
author = "G{\"o}ltz Alefeld and J{\"u}rgen Herzberger",
title = "Introduction to Interval Computations",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "xviii + 333",
year = "1983",
ISBN = "0-12-049820-0",
ISBN-13 = "978-0-12-049820-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Very pure mathematical! Totally boring! In Dundee
lib.",
}
@Article{Alefeld:1982:SRM,
author = "G. Alefeld and N. Schneider",
title = "On square roots of {M}-matrices",
journal = j-LAA,
volume = "42",
pages = "119--132",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Alexander:1988:ARL,
author = "S. T. Alexander and C.-T. Pan and R. J. Plemmons",
title = "Analysis of a recursive least squares hyperbolic
rotation algorithm for signal processing",
journal = j-LAA,
volume = "98",
pages = "3--40",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Allen:1983:PEN,
author = "D. M. Allen",
title = "Parameter estimation for nonlinear models with
emphasis on compartmental models",
journal = j-BIOMETRICS,
volume = "39",
pages = "629--637",
year = "1983",
CODEN = "BIOMB6",
ISSN = "0006-341X (print), 1541-0420 (electronic)",
ISSN-L = "0006-341X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/biometrics1980.bib",
fjournal = "Biometrics",
journal-URL = "http://www.jstor.org/journal/biometrics",
}
@Article{Allen:1981:AIP,
author = "R. C. Allen and S. A. Pruess",
title = "An analysis of an inverse problem in ordinary
differential equations",
journal = j-SISSC,
volume = "2",
pages = "176--185",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Allgower:1990:CSN,
editor = "E. L. Allgower and K. Georg",
booktitle = "Computational Solution of Nonlinear Systems of
Equations",
title = "Computational Solution of Nonlinear Systems of
Equations",
volume = "26",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 762",
year = "1990",
ISBN = "0-8218-1131-2",
ISBN-13 = "978-0-8218-1131-3",
LCCN = "QA372 .C6374 1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lectures in Applied Mathematics",
mynote = "Proc. of 1988 SIAM-AMS summer seminar",
}
@Article{Allwright:1988:PSM,
author = "J. C. Allwright",
title = "Positive semidefinite matrices: {Characterization} via
conical hulls and least-squares solution of a matrix
equation",
journal = j-SIAM-CONTROL-OPT,
volume = "26",
number = "3",
pages = "537--556",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Almacany:1984:DCA,
author = "M. Almacany and C. B. Dunham and J. Williams",
title = "Discrete {Chebyshev} Approximation by Interpolating
Rationals",
journal = j-IMAJNA,
volume = "4",
pages = "467--477",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Almasi:1989:HPC,
author = "G. S. Almasi and A. Gottlieb",
title = "Highly Parallel Computing",
publisher = pub-BENCUM,
address = pub-BENCUM:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Althoen:1987:GJR,
author = "Steven C. Althoen and Renate Mclaughlin",
title = "{Gauss--Jordan} Reduction: {A} brief History",
journal = j-AMM,
volume = "94",
number = "2",
pages = "130--142",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Alvarado:1993:HPS,
author = "Fernando L. Alvarado and Alex Pothen and Robert S.
Schreiber",
editor = "J. Alan George and John R. Gilbert and Joseph W. H.
Liu",
booktitle = "Graph Theory and Sparse Matrix Computations",
title = "Highly Parallel Sparse Triangular Solution",
volume = "56",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-NY,
pages = "141--158",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "IMA Volumes in Mathematics and its Applications",
mynote = "Earlier versions: RIACS Technical Report TR 92.11, May
1992 and Waterloo CS Report CS-92-51, Oct 1992. I have
not seen this reference in its published form.",
}
@Article{Alvarado:1993:OPS,
author = "Fernando L. Alvarado and Robert S. Schreiber",
title = "Optimal Parallel Solution of Sparse Triangular
Systems",
journal = j-SISC,
volume = "14",
number = "2",
pages = "446--460",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "RIACS Technical Report, 90.36, Sep 1990",
}
@Article{Alvarado:1990:PSM,
author = "F. L. Alvarado and D. C. Yu and R. Betancourt",
title = "Partitioned Sparse {$A^{-1}$} Methods",
journal = j-IEEE-TRANS-POWER-SYSTEMS,
volume = "5",
number = "2",
pages = "452--458",
year = "1990",
CODEN = "ITPSEG",
ISSN = "0885-8950 (print), 1558-0679 (electronic)",
ISSN-L = "0885-8950",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Power Systems",
}
@TechReport{Amestoy:1989:ULB,
author = "P. R. Amestoy and M. J. Dayd{\'e} and I. S. Duff",
title = "Use of Level 3 {BLAS} kernels in the solution of full
and sparse linear equations",
institution = "Report TR 89/9, CERFACS, Toulouse, France",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "March",
}
@Article{Amir-Moez:1974:SRP,
author = "A. R. Amir-Mo{\'e}z and S. Smyrl",
title = "Square Roots of a Positive Matrix and Polar
Decompositions",
journal = j-INDUST-MATH,
volume = "24",
number = "1",
pages = "55--60",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Very poor paper.",
}
@Article{Amodio:1994:BEA,
author = "Pierluigi Amodio and Francesca Mazzia",
title = "Backward Error Analysis of Cyclic Reduction for the
Solution of Tridiagonal Systems",
journal = j-MATH-COMP,
volume = "62",
number = "206",
pages = "601--617",
year = "1994",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Anda:1994:FPR,
author = "Andrew A. Anda and Haesun Park",
title = "Fast Plane Rotations with Dynamic Scaling",
journal = j-SIMAX,
volume = "15",
number = "1",
pages = "162--174",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Anderson:1991:RTS,
author = "Edward Anderson",
title = "Robust Triangular Solves for Use in Condition
Estimation",
type = "Technical Report",
number = "CS-91-142",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "35",
month = aug,
year = "1991",
bibdate = "Fri Feb 24 12:18:31 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 36",
}
@TechReport{Andersson:1993:TCP,
author = "Lars-Erik Andersson and Tommy Elfving",
title = "Two Constrained {Procrustes} Problems",
type = "Report",
number = "LiTH-MAT-R-1993-39",
institution = "Department of Mathematics, Link{\"o}ping University",
address = "Sweden",
pages = "????",
month = dec,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Anderson:1990:RNG,
author = "S. L. Anderson",
title = "Random Number Generators on Vector Supercomputers and
Other Advanced Architectures",
journal = j-SIREV,
volume = "32",
pages = "221--251",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Anderson:1971:SAT,
author = "T. W. Anderson",
title = "The Statistical Analysis of Time Series",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xiv + 704",
year = "1971",
ISBN = "0-471-02900-9",
ISBN-13 = "978-0-471-02900-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "pp. 96, 97, 288, 293 contain cos/sin-type orthogonal
matrices.",
}
@Book{Anderson:1992:LUG,
author = "E. Anderson and Z. Bai and C. H. Bischof and J. W.
Demmel and J. J. Dongarra and J. J. Du Croz and A.
Greenbaum and S. J. Hammarling and A. McKenney and S.
Ostrouchov and D. C. Sorensen",
title = "{LAPACK} Users' Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xv + 118 + listings",
year = "1992",
ISBN = "0-89871-294-7",
ISBN-13 = "978-0-89871-294-0",
bibdate = "Thu Sep 29 08:50:23 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Anderson:1995:LUG,
author = "E. Anderson and Z. Bai and C. Bischof and J. Demmel
and J. Dongarra and J. {Du Croz} and A. Greenbaum and
S. Hammarling and A. McKenney and S. Ostrouchov and D.
Sorensen",
title = "{LAPACK} Users' Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
edition = "Second",
pages = "xix + 325",
year = "1995",
ISBN = "0-89871-345-5 (paperback)",
ISBN-13 = "978-0-89871-345-9 (paperback)",
LCCN = "QA76.73.F25 L36 1995",
bibdate = "Sat Dec 06 17:25:09 2003",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fortran3.bib;
http://www.math.utah.edu/pub/tex/bib/gnu.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
acknowledgement = ack-nhfb,
keywords = "algebras, linear -- data processing; Fortran (computer
program language); LAPACK; subroutines (computer
programs)",
}
@TechReport{Anderson:1990:LPL,
author = "E. Anderson and Z. Bai and C. H. Bischof and J. W.
Demmel and J. J. Dongarra and J. J. Du Croz and A.
Greenbaum and S. J. Hammarling and A. McKenney and D.
C. Sorensen",
title = "{LAPACK}: {A} portable linear algebra library for
high-performance computers",
type = "LAPACK Working Note",
number = "\#20",
institution = "Department of Computer Science, University of
Tennessee",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "CS-90-105, May",
}
@TechReport{Anderson:1990:PEL,
author = "E. Anderson and C. H. Bischof and J. W. Demmel and J.
J. Dongarra and J. J. Du Croz and S. J. Hammarling and
W. Kahan",
title = "Prospectus for an extension to {LAPACK}: {A} portable
linear algebra library for high-performance computers",
type = "LAPACK Working Note",
number = "\#26",
institution = "Department of Computer Science, University of
Tennessee",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Nov",
}
@TechReport{Anderson:1989:RIR,
author = "E. Anderson and J. J. Dongarra",
title = "Results from the initial release of {LAPACK}",
institution = "LAPACK Working Note \#16, Department of Computer
Science, University of Tennessee, Knoxville",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Nov, CS-89-89",
}
@TechReport{Anderson:1990:EBA,
author = "E. Anderson and J. J. Dongarra",
title = "Evaluating block algorithm variants in {LAPACK}",
institution = "LAPACK Working Note \#19, Department of Computer
Science, University of Tennessee, Knoxville",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "April",
}
@TechReport{Anderson:1990:IGL,
author = "E. Anderson and J. J. Dongarra",
title = "Implementation guide for {LAPACK}",
institution = "LAPACK Working Note \#18, Department of Computer
Science, University of Tennessee, Knoxville",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Supercedes WN #10",
}
@Article{Anderson:1975:CBL,
author = "Ned Anderson and Ilkka Karasalo",
title = "On Computing Bounds for the Least Singular Value of a
Triangular Matrix",
journal = j-BIT,
volume = "15",
pages = "1--4",
year = "1975",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Anderson:1973:QCA,
author = "P. Anderson and G. Loizou",
title = "On the quadratic convergence of an algorithm which
diagonalizes a complex symmetric matrix",
journal = j-JIMA,
volume = "12",
pages = "261--271",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Anderson:1987:GRO,
author = "T. W. Anderson and I. Olkin and L. G. Underhill",
title = "Generation of Random Orthogonal Matrices",
journal = j-SISSC,
volume = "8",
number = "4",
pages = "625--629",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ando:1985:ATN,
author = "T. Ando",
title = "Approximation in trace norm by positive semidefinite
matrices",
journal = j-LAA,
volume = "71",
pages = "15--21",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ando:1987:TPM,
author = "T. Ando",
title = "Totally Positive Matrices",
journal = j-LAA,
volume = "90",
pages = "165--219",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ando:1973:APO,
author = "T. Ando and T. Sekiguchi and T. Suzuki",
title = "Approximation by positive operators",
journal = j-MATH-ZEITSCHR,
volume = "131",
pages = "273--282",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Andrew:1990:ESV,
author = "Alan L. Andrew",
title = "Eigenvalues and Singular Values of Certain Random
Matrices",
journal = j-JCAM,
volume = "30",
pages = "165--171",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Andrews:1983:CNC,
author = "G. R. Andrews and F. B. Schneider",
title = "Concepts and notations for concurrent programming",
journal = j-COMP-SURV,
volume = "15",
pages = "3--43",
year = "1983",
CODEN = "CMSVAN",
ISSN = "0360-0300 (print), 1557-7341 (electronic)",
ISSN-L = "0360-0300",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Computing Surveys",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J204",
}
@Article{Andrews:1976:SVD,
author = "H. C. Andrews and C. L. Patterson",
title = "Singular value decompositions and digital image
processing",
journal = j-IEEE-TRANS-ACOUST-SPEECH,
volume = "ASSP-24",
pages = "26--53",
year = "1976",
CODEN = "IETABA",
ISSN = "0096-3518",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29",
}
@Article{Anonymous:1922:CC,
author = "Anonymous",
title = "Le {Commandant Cholesky}",
journal = j-BULL-GEODESIQUE,
pages = "159--161",
year = "1922",
CODEN = "BGDQAG",
ISSN = "0007-4632",
bibdate = "Thu Sep 7 14:49:13 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Translation by Richard W. Cottle (``Major
{Cholesky}'') appears in
\cite[Appendix]{Maindonald:1984:SC} and in NA-Digest,
Volume 90, Issue 7, 1990",
fjournal = "Bulletin G\'eod\'esique (Toulouse)",
journal-URL = "http://link.springer.com/journal/190",
}
@Article{Anthony:1985:APS,
author = "G. T. Anthony",
title = "On an Algorithm for {Pythagorean} Sums and its
Connection With Continued Fractions",
journal = j-IMA-BULL,
volume = "21",
number = "9/10",
pages = "171--172",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
mynote = "also NPL Rep. DITC 42/84",
}
@Book{Anton:1994:ELAa,
author = "Howard Anton",
title = "Elementary Linear Algebra",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Seventh",
pages = "xvi + 570 + Appendix + Index",
year = "1994",
ISBN = "0-471-58742-7",
ISBN-13 = "978-0-471-58742-2",
bibdate = "Sat May 13 11:23:50 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Anton:1994:ELAb,
author = "Howard Anton and Chris Rorres",
title = "Elementary Linear Algebra: {Applications} Version",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Seventh",
pages = "xxvi + 779 + Appendix + Index",
year = "1994",
ISBN = "0-471-30570-7",
ISBN-13 = "978-0-471-30570-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Appel:1985:EPM,
author = "A. W. Appel",
title = "An efficient program for many-body simulation",
journal = j-SISSC,
volume = "6",
pages = "85--103",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Computer:1988:ANM,
author = "Apple Computer",
title = "Apple Numerics Manual",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Second",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not seen - taken from \cite{Computer:1994:IMP}.",
}
@Book{Computer:1994:IMP,
author = "Apple Computer",
title = "Inside {Macintosh}: {PowerPC} Numerics",
publisher = pub-AW,
address = pub-AW:adr,
pages = "????",
year = "1994",
ISBN = "0-201-40728-0",
ISBN-13 = "978-0-201-40728-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Araki:1981:IHS,
author = "Huzihiro Araki and Shigeru Yamagami",
title = "An Inequality for {Hilbert--Schmidt} Norm",
journal = j-COMMUN-MATH-PHYS,
volume = "81",
pages = "89--96",
year = "1981",
CODEN = "CMPHAY",
ISSN = "0010-3616 (print), 1432-0916 (electronic)",
ISSN-L = "0010-3616",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications in Mathematical Physics",
journal-URL = "http://link.springer.com/journal/220",
mynote = "Re. perturbation of polar factor H.",
}
@Article{Arbenz:1988:RRM,
author = "P. Arbenz and W. Gander and G. H. Golub",
title = "Restricted Rank Modification of the Symmetric
Eigenvalue Problem: {Theoretical} Considerations",
journal = j-SIMAX,
volume = "104",
pages = "75--95",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arbenz:1988:SDH,
author = "P. Arbenz and G. H. Golub",
title = "On the spectral decomposition of Hermitian matrices
modified by low rank perturbations with applications",
journal = j-SIMAX,
volume = "9",
pages = "40--58",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arbenz:1992:QLA,
author = "P. Arbenz and G. H. Golub",
title = "{QR}-like Algorithms for Symmetric Arrow Matrices",
journal = j-SIMAX,
volume = "13",
number = "2",
pages = "655--658",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arioli:1989:SSL,
author = "M. Arioli and J. W. Demmel and I. S. Duff",
title = "Solving Sparse Linear Systems with Sparse Backward
Error",
journal = j-SIMAX,
volume = "10",
number = "2",
pages = "165--190",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "CSS 214, March 1988",
}
@Article{Arioli:1989:ASA,
author = "M. Arioli and I. S. Duff and P. P. M. de Rijk",
title = "On the Augmented System Approach to Sparse
Least-Squares Problems",
journal = j-NUM-MATH,
volume = "55",
pages = "667--684",
year = "1989",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "Harwell CS223, Oct 88",
}
@Article{Arioli:1985:EAA,
author = "M. Arioli and A. Laratta",
title = "Error Analysis of an Algorithm for Solving an
Underdetermined Linear System",
journal = j-NUM-MATH,
volume = "46",
pages = "255--268",
year = "1985",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Arioli:1986:EAA,
author = "M. Arioli and A. Laratta",
title = "Error Analysis of Algorithms for Computing the
Projection of a Point onto a Linear Manifold",
journal = j-LAA,
volume = "82",
pages = "1--26",
year = "1986",
bibdate = "Wed Nov 23 20:57:02 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arioli:1985:RBC,
author = "Mario Arioli and Francesco Romani",
title = "Relations Between Condition Numbers and the
Convergence of the {Jacobi} Method for Real Positive
Definite Matrices",
journal = j-NUM-MATH,
volume = "46",
pages = "31--42",
year = "1985",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Arioli:1992:SCC,
author = "Mario Arioli and Francesco Romani",
title = "Stability, Convergence, and Conditioning of Stationary
Iterative Methods of the Form {$x^{(i+1)} = P x^{(i)} +
q$} for the Solution of Linear Systems",
journal = j-IMAJNA,
volume = "12",
pages = "21--30",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arioli:1992:BPM,
author = "M. Arioli and I. S. Duff and J. Noailles and D. Ruiz",
title = "A Block Projection Method for Sparse Matrices",
journal = j-SISSC,
volume = "13",
number = "1",
pages = "47--70",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Report RAL-90-093, Dec 90.",
}
@Article{Arioli:1992:SCI,
author = "Mario Arioli and Iain S. Duff and Daniel Ruiz",
title = "Stopping Criteria for Iterative Solvers",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "138--144",
year = "1992",
bibdate = "Thu Feb 16 10:52:48 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arnold:1984:GEA,
author = "William F. Arnold and Alan J. Laub",
title = "Generalized Eigenproblem Algorithms and Software for
Algebraic {Riccati} Equations",
journal = j-PROC-IEEE,
volume = "72",
number = "12",
pages = "1746--1754",
year = "1984",
CODEN = "IEEPAD",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
ISSN-L = "0018-9219",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Proceedings of the IEEE",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}
@Article{Artzrouni:1983:TPM,
author = "Marc Artzrouni",
title = "A Theorem on Products of Matrices",
journal = j-LAA,
volume = "49",
pages = "153--159",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Artzrouni:1986:CIP,
author = "Marc Artzrouni",
title = "On the Convergence of Infinite Products of Matrices",
journal = j-LAA,
volume = "74",
pages = "11--21",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Arun:1987:LSF,
author = "K. S. Arun and T. S. Huang and S. D. Blostein",
title = "Least-Squares Fitting of Two {3-D} Points Sets",
journal = j-IEEE-TRANS-PATT-ANAL-MACH-INTEL,
volume = "PAMI-9",
number = "5",
pages = "698--700",
year = "1987",
CODEN = "ITPIDJ",
ISSN = "0162-8828",
ISSN-L = "0162-8828",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Pattern Analysis and Machine Intelligence",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=34",
}
@Article{Arun:1992:UCT,
author = "K. S. Arun",
title = "A Unitarily Constrained Total Least Squares Problem in
Signal Processing",
journal = j-SIMAX,
volume = "13",
number = "3",
pages = "729--745",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Orthogonal Procrustes problem",
}
@Book{Ascher:1988:NSB,
author = "Uri M. Ascher and Robert M. M. Mattheij and Robert D.
Russell",
title = "Numerical Solution of Boundary Value Problems for
Ordinary Differential Equations",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1988",
ISBN = "0-13-627266-5",
ISBN-13 = "978-0-13-627266-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Ashcraft:1995:ASI,
author = "Cleve Ashcraft and Roger G. Grimes and John G. Lewis",
title = "Accurate Symmetric Indefinite Linear Equation
Solvers",
address = "????",
pages = "51",
month = sep,
year = "1995",
bibdate = "Mon Nov 6 12:36:05 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Ashenhurst:1965:EEC,
author = "R. L. Ashenhurst and N. Metropolis",
title = "Error Estimation in Computer Calculation",
journal = j-AMM,
volume = "72",
number = "2",
pages = "47--58",
year = "1965",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
part = "II",
}
@Book{Ashford:1993:CPL,
editor = "Oliver M. Ashford and H. Charnock and P. G. Drazin and
J. C. R. Hunt and P. Smoker and Ian Sutherland",
title = "Collected Papers of {Lewis Fry Richardson}. {Volume}
1: {Meteorology} and Numerical Analysis",
publisher = pub-CUP,
address = "????",
pages = "xiv + 1016",
year = "1993",
ISBN = "0-521-38297-1",
ISBN-13 = "978-0-521-38297-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Huge book. Article by Fox `Numerical Analysis', pp.
36-44 (his last article). But nothing of interest in
whole book.",
}
@Article{Asner:1970:TNH,
author = "Bernard A. {Asner, Jr.}",
title = "On the Total Nonnegativity of the {Hurwitz} Matrix",
journal = j-SIAMA,
volume = "18",
number = "2",
pages = "407--414",
year = "1970",
bibdate = "Sun Feb 26 12:02:26 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Asplund:1959:IMW,
author = "Edgar Asplund",
title = "Inverses of Matrices {$\{a_{ij}\}$} Which Satisfy
{$a_{ij}=0$} For {$j>i+p$}",
journal = j-MATH-SCAND,
volume = "7",
pages = "57--60",
year = "1959",
CODEN = "MTSCAN",
ISSN = "0025-5521 (print), 1903-1807 (electronic)",
ISSN-L = "0025-5521",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematica Scandinavica",
}
@Article{Aspray:1981:WLP,
author = "William Aspray",
title = "Wilkinson Lecture on {Pilot ACE}",
journal = j-AHC,
volume = "3",
number = "3",
pages = "281--282",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Report on Sixth Pioneer Computer Lecture at Computer
Museum, Marlboro, Mass, April 15 1981.",
}
@Misc{Atanasoff:1940:CMS,
author = "John V. Atanasoff",
title = "Computing Machine for the Solution of Large Systems of
Linear Algebraic Equations",
howpublished = "Unpublished manuscript, Iowa State College, Ames, IA,
USA",
pages = "????",
month = aug,
year = "1940",
bibdate = "Sat Apr 8 11:30:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted in \cite[pp.~315--335]{Randell:1975:ODCb}",
mynote = "`The solution of general systems of linear equations
with a number of unknowns greater than ten is not often
attempted. But this is precisely what is needed to make
approximate methods more effective in the solution of
practical problems. The machine described in this paper
has been designed to fill this need.' - page 316. `An
examination of the theory of such systems of equations
and of the isomorphic theory of matrices and
determinants shows there is only one practical method
of procedure, the well known process of successively
eliminating one variable between pairs of equations
until an answer is obtained.' - page 316. `In the end
there is left the coefficient of one unknown and the
constant term. An elimination between this equation and
one from the previous set that contains two unknowns
yields an equation with the coefficient of another
unknown and another constant term, etc. The quotient of
the constant term by the unknown yields the value of
the unknown in each case.' - page 330.",
}
@Book{Atkinson:1989:INA,
author = "Kendall E. Atkinson",
title = "An Introduction to Numerical Analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "????",
year = "1989",
ISBN = "0-471-50023-2",
ISBN-13 = "978-0-471-50023-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Atkinson:1993:ENA,
author = "Kendall Atkinson",
title = "Elementary Numerical Analysis",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "xiii + 425",
year = "1993",
ISBN = "0-471-60010-5",
ISBN-13 = "978-0-471-60010-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "First edition 1985.",
}
@Article{Atta:1957:EPE,
author = "Susie E. Atta",
title = "Effect of Propagated Error on Inverse of {Hilbert}
Matrix",
journal = j-ACM,
volume = "4",
pages = "36--40",
year = "1957",
bibdate = "Wed Mar 15 11:30:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "No content.",
}
@Article{Auchmuty:1992:PEE,
author = "G. Auchmuty",
title = "A Posteriori Error Estimates for Linear Equations",
journal = j-NUM-MATH,
volume = "61",
pages = "1--6",
year = "1992",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "Weak",
}
@Article{Autonne:1902:GLR,
author = "L. Autonne",
title = "Sur Les Groupes Lin{\'e}aires, {R}{\'e}els et
Orthogonaux",
journal = j-BULL-SOC-MATH-FRANCE,
volume = "30",
pages = "121--134",
year = "1902",
CODEN = "BSMFAA",
ISSN = "0037-9484 (print), 2102-622X (electronic)",
ISSN-L = "0037-9484",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Bulletin de la Soci\'et\'e Math\'ematique de France",
journal-URL = "http://www.numdam.org/numdam-bin/browse?sl=0&j=BSMF",
mynote = "The first reference to polar decomposition: implied by
\cite{Williamson:1942:GPR} and
\cite[p.~271]{Eves:1966:EMT}. Excellent explanation of
history in \cite[Section 3.0]{Horn:1991:TMA}.",
}
@Article{Auzinger:1985:AAR,
author = "W. Auzinger and H. J. Stetter",
title = "Accurate Arithmetic Results for Decimal Data on
Non-Decimal Computers",
journal = j-COMPUTING,
volume = "35",
pages = "141--151",
year = "1985",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibdate = "Wed Nov 23 21:05:41 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Book{Axelsson:1990:PCG,
editor = "Owe Axelsson and Lily Yu. Kolotilina",
booktitle = "Preconditioned Conjugate Gradient Methods: Proceedings
of a Conference Held in Nijmegen, the Netherlands, June
19--21, 1989",
title = "Preconditioned Conjugate Gradient Methods: Proceedings
of a Conference Held in Nijmegen, the Netherlands, June
19--21, 1989",
volume = "1457",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "196",
year = "1990",
ISBN = "0-387-53515-2 (New York), 3-540-53515-2 (Berlin)",
ISBN-13 = "978-0-387-53515-9 (New York), 978-3-540-53515-7
(Berlin)",
LCCN = "QA3 .L28 no. 1457",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Mathematics",
mynote = "Proc conf Nijmegen, Neth., June 1989. Little of
interest.",
}
@Book{Axelsson:1994:ISM,
author = "Owe Axelsson",
title = "Iterative Solution Methods",
publisher = pub-CUP,
address = "????",
pages = "xiii + 654",
year = "1994",
ISBN = "0-521-44524-8",
ISBN-13 = "978-0-521-44524-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Babbage:1837:MPC,
author = "Charles Babbage",
title = "On the Mathematical Powers of the Calculating Engine",
address = "????",
pages = "????",
month = dec,
year = "1837",
bibdate = "Fri Dec 23 13:58:08 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Unpublished manuscript. Buxton MS7, Museum of the
History of Science, Oxford. Reprinted in
\cite[pp.~19--54]{Randell:1975:ODCb}",
mynote = "`The result of my reflections has been that numbers
containing more than thirty places of figures will not
be required for a long time to come. I have, however,
made the drawings of the Engine for forty places of
figures. All additions and subtractions may be made
with such numbers and the products, amounting to eighty
places, may be preserved in the Store and brought back
into the mill to be divided by numbers of forty places
of figures, thus retaining forty places in the
quotient.` - page 49.",
}
@Article{Babuska:1972:NSP,
author = "Ivo Babu{\v{s}}ka",
title = "Numerical Stability in Problems of Linear Algebra",
journal = j-SINUM,
volume = "9",
number = "1",
pages = "53--77",
year = "1972",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Babuska:1969:NSM,
author = "Ivo Babu{\v{s}}ka",
booktitle = "Proc. IFIP Congress",
title = "Numerical Stability in Mathematical Analysis",
publisher = pub-NH,
address = pub-NH:adr,
pages = "11--23",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Information Processing 68",
mynote = "Not in CS lib, where only vol 1 of Proc (numbered Axx
etc).",
}
@Unpublished{Baggett:1994:ETV,
author = "Jeffrey S. Baggett",
title = "Exponential Type Versus Spectral Abscissa: {The}
{Hille--Phillips} Example",
address = "????",
pages = "????",
year = "1994",
bibdate = "Mon Oct 30 12:45:38 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Unpublished{Bai:1994:CTM,
author = "Zhaojun Bai",
title = "A Collection of Test Matrices for Large Scale
Nonsymmetric Eigenvalue Problems (Version 1.0)",
address = "????",
pages = "????",
month = jul,
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Bai:1989:BIH,
author = "Zhaojun Bai and James W. Demmel",
title = "On a Block Implementation of {Hessenberg} Multishift
{QR} Iteration",
journal = j-INT-J-HIGH-SPEED-COMPUTING,
volume = "1",
number = "1",
pages = "97--112",
year = "1989",
CODEN = "IHSCEZ",
ISSN = "0129-0533",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of High Speed Computing",
journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc",
mynote = "LAPACK Working Note \#8, Tech. Memo. 127, MCS,
Argonne, Jan 89",
}
@TechReport{Bai:1991:DAC,
author = "Z. Bai and J. W. Demmel",
title = "On a Direct Algorithm for Computing Invariant
Subspaces with Specified Eigenvalues",
type = "Technical Report",
number = "CS-91-139",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "????",
month = nov,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 38",
}
@TechReport{Bai:1992:DPN,
author = "Zhaojun Bai and James W. Demmel",
title = "Design of a Parallel Nonsymmetric Eigenroutine Toolbox
(Part {I})",
type = "Research Report",
number = "92-09",
institution = inst-CS-U-KY,
address = inst-CS-U-KY:adr,
pages = "30",
month = dec,
year = "1992",
bibdate = "Wed Mar 22 11:12:03 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bai:1993:DPN,
author = "Zhaojun Bai and James W. Demmel",
editor = "Richard F. Sincovec and David E. Keyes and Michael R.
Leuze and Linda R. Petzold and Daniel A. Reed",
booktitle = "Proceedings of the Sixth SIAM Conference on Parallel
Processing for Scientific Computing, {Volume I}",
title = "Design of a Parallel Nonsymmetric Eigenroutine
Toolbox, {Part I}",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "391--398",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bai:1993:SDB,
author = "Zhaojun Bai and James W. Demmel",
title = "On Swapping Diagonal Blocks in Real {Schur} Form",
journal = j-LAA,
volume = "186",
pages = "73--95",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bai:1993:CGS,
author = "Zhaojun Bai and James W. Demmel",
title = "Computing the Generalized Singular Value
Decomposition",
journal = j-SIMAX,
volume = "14",
number = "6",
pages = "1464--1486",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bai:1994:DPN,
author = "Zhaojun Bai and James W. Demmel",
title = "Design of a Parallel Nonsymmetric Eigenroutine
Toolbox, Part {II}",
type = "Computer Science Division Report",
number = "UCB/CSD-94-???",
institution = inst-Berkeley,
address = inst-Berkeley:adr,
pages = "????",
month = "????",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Draft",
}
@TechReport{Bai:1994:IFP,
author = "Zhaojun Bai and James W. Demmel and Ming Gu",
title = "Inverse Free Parallel Spectral Divide and Conquer
Algorithms for Nonsymmetric Eigenproblems",
type = "Computer Science Division Report",
number = "UCB/CSD-94-793",
institution = inst-Berkeley,
address = inst-Berkeley:adr,
pages = "34",
month = feb,
year = "1994",
bibdate = "Fri Apr 7 09:08:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bai:1989:CNE,
author = "Z. Bai and J. W. Demmel and A. McKenney",
title = "On the conditioning of the nonsymmetric eigenproblem:
{Theory} and software",
institution = "LAPACK Working Note \#13, Department of Computer
Science, University of Tennessee, Knoxville",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Oct, CS-89-6",
}
@Article{Bai:1993:CCN,
author = "Zhaojun Bai and James W. Demmel and Alan McKenney",
title = "On Computing Condition Numbers for the Nonsymmetric
Eigenproblem",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "202--223",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Bai:1994:NBG,
author = "Z. Bai and D. Hu and L. Reichel",
title = "A {Newton} Basis {GMRES} Implementation",
journal = j-IMAJNA,
volume = "14",
number = "4",
pages = "563--581",
year = "1994",
bibdate = "Wed Nov 9 19:26:59 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bailey:1988:EHS,
author = "David H. Bailey",
title = "Extra High Speed Matrix Multiplication on the
{Cray}-2",
journal = j-SISSC,
volume = "9",
number = "3",
pages = "603--607",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bailey:1988:NRT,
author = "D. H. Bailey",
title = "Numerical Results on the Transcendence of Constants
Involving {$\pi$}, {$e$}, and {Euler}'s Constant",
journal = j-MATH-COMP,
volume = "50",
pages = "275--281",
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bailey:1988:CDD,
author = "David H. Bailey",
title = "The Computation of {$\pi$} to 29,360,000 Decimal
Digits Using {Borweins'} Quartically Convergent
Algorithm",
journal = j-MATH-COMP,
volume = "50",
number = "181",
pages = "283--296",
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Bailey:1989:FEH,
author = "D. H. Bailey",
title = "{FFTs} in External or Hierarchical Memory",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "May 89, good discussion of Crays",
}
@Article{Bailey:1991:TWF,
author = "David H. Bailey",
title = "Twelve Ways to Fool the Masses When Giving Performance
Results on Parallel Computers",
journal = "Supercomputer Rev.",
pages = "54--55",
month = aug,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Also in Supercomputer, Sept. 1991, pp. 4--7",
}
@Article{Bailey:1993:AMT,
author = "David H. Bailey",
title = "Algorithm 719: {Multiprecision} Translation and
Execution of {FORTRAN} Programs",
journal = j-TOMS,
volume = "19",
number = "3",
pages = "288--319",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Bailey:1993:EPC,
author = "David H. Bailey",
title = "Experience With Parallel Computers at {NASA Ames}",
journal = j-INT-J-HIGH-SPEED-COMPUTING,
volume = "5",
number = "1",
pages = "51--62",
year = "1993",
CODEN = "IHSCEZ",
ISSN = "0129-0533",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of High Speed Computing",
journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc",
}
@TechReport{Bailey:1993:RMS,
author = "David H. Bailey",
title = "{RISC} Microprocessors and Scientific Computing",
type = "Technical Report",
number = "RNR-93-004",
institution = inst-NASA-Ames,
address = inst-NASA-Ames:adr,
pages = "????",
month = mar,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bailey:1993:PHP,
author = "David H. Bailey",
title = "A Portable High Performance Multiprecision Package",
type = "Technical Report",
number = "RNR-90-022",
institution = inst-NASA-Ames,
address = inst-NASA-Ames:adr,
pages = "????",
month = may,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bailey:1993:ATF,
author = "David H. Bailey",
title = "Automatic Translation of {Fortran} Programs to
Multiprecision",
type = "Technical Report",
number = "RNR-91-025",
institution = inst-NASA-Ames,
address = inst-NASA-Ames:adr,
pages = "????",
month = may,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bailey:1994:FBM,
author = "David H. Bailey",
title = "A {Fortran-90} Based Multiprecision System",
type = "Technical Report",
number = "RNR-94-013",
institution = inst-NASA-Ames,
address = inst-NASA-Ames:adr,
pages = "12",
month = jun,
year = "1994",
bibdate = "Fri Apr 7 09:12:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bailey:1991:NPB,
author = "D. H. Bailey and E. Barszcz and J. T. Barton and D. S.
Browning and R. L. Carter and L. Dagum and R. A.
Fatoohi and P. O. Frederickson and T. A. Lasinski and
R. S. Schreiber and H. D. Simon and V. Venkatakrishnan
and S. K. Weeratunga",
title = "The {NAS} Parallel Benchmarks",
journal = j-IJSA,
volume = "5",
number = "3",
pages = "63--73",
year = "1991",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
}
@InProceedings{Bailey:1988:SNA,
author = "D. H. Bailey and H. R. P. Ferguson",
booktitle = "Proceedings of Supercomputing '88",
title = "A {Strassen--Newton} Algorithm for High-Speed
Parallelizable Matrix Inversion",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "419--424",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bailey:1993:MPM,
author = "David H. Bailey and Robert Krasny and Richard Pelz",
editor = "Richard F. Sincovec and David E. Keyes and Michael R.
Leuze and Linda R. Petzold and Daniel A. Reed",
booktitle = "Proceedings of the Sixth SIAM Conference on Parallel
Processing for Scientific Computing, {Volume I}",
title = "Multiple Precision, Multiple Processor Vortex Sheet
Roll-Up Computation",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "52--56",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bailey:1991:USA,
author = "David H. Bailey and King Lee and Horst D. Simon",
title = "Using {Strassen}'s Algorithm to Accelerate the
Solution of Linear Systems",
journal = j-J-SUPERCOMPUTING,
volume = "4",
pages = "357--371",
year = "1991",
CODEN = "JOSUED",
ISSN = "0920-8542 (print), 1573-0484 (electronic)",
ISSN-L = "0920-8542",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Journal of Supercomputing",
journal-URL = "http://link.springer.com/journal/11227",
mynote = "Report RNR-90-001, NAS Systems Div., NASA Ames, Feb
1990.",
}
@Article{Bailey:1989:FPA,
author = "David H. Bailey and Horst D. Simon and John T. Barton
and Martin J. Fouts",
title = "Floating Point Arithmetic in Future Supercomputers",
journal = j-IJSA,
volume = "3",
number = "3",
pages = "86--90",
year = "1989",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
}
@Book{Baker:1982:TIE,
editor = "C. T. H. Baker and G. F. Miller",
title = "Treatment of Integral Equations by Numerical Methods",
publisher = pub-AP,
address = pub-AP:adr-L,
pages = "????",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Baker:1981:NSN,
editor = "C. T. H. Baker and C. Phillips",
title = "The Numerical Solution of Nonlinear Problems",
publisher = pub-OXFORD,
address = "????",
pages = "????",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Baker:1987:FGQ,
author = "C. T. H. Baker and M. S. Derakhshan",
editor = "P. Keast and G. Fairweather",
booktitle = "Numerical Integration: {Recent} Developments, Software
and Applications",
title = "Fast Generation of Quadrature Rules with Some Special
Properties",
publisher = "D. Reidel Publishing Company",
address = "Dordrecht, Holland",
pages = "53--60",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Keast:1987:NIR",
mynote = "Also NA Report 121, `A code for ...', with codes, Aug
1986.",
}
@Article{Baksalary:1984:NDP,
author = "J. K. Baksalary",
title = "Nonnegative Definite and Positive Definite Solutions
to the Matrix Equation {$ A X A^* = B $}",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "16",
pages = "133--139",
year = "1984",
CODEN = "LNMLAZ",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
}
@Article{Baksalary:1979:ME,
author = "J. K. Baksalary and R. Kala",
title = "The Matrix Equation {$AX-YB=C$}",
journal = j-LAA,
volume = "25",
pages = "41--43",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Baksalary:1980:ME,
author = "J. K. Baksalary and R. Kala",
title = "The Matrix Equation {$AXB + CYD = E$}",
journal = j-LAA,
volume = "30",
pages = "141--147",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Balakrishnan:1995:EUO,
author = "V. Balakrishnan and S. Boyd",
title = "Existence and Uniqueness of Optimal Matrix Scalings",
journal = j-SIMAX,
volume = "16",
number = "1",
pages = "29--39",
year = "1995",
bibdate = "Sat Mar 4 13:28:02 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ballester:1967:CDA,
author = "C. Ballester and V. Pereyra",
title = "On the Construction of Discrete Approximations to
Linear Differential Expressions",
journal = j-MATH-COMP,
volume = "21",
pages = "297--302",
year = "1967",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Balzer:1980:ACM,
author = "L. A. Balzer",
title = "Accelerated convergence of the matrix sign function
method of solving {Lyapunov}, {Riccati} and other
matrix equations",
journal = j-INT-J-CTL,
volume = "32",
number = "6",
pages = "1057--1078",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bank:1976:MAB,
author = "Randolph E. Bank",
title = "Marching Algorithms and Block {Gaussian} Elimination",
crossref = "Bunch:1976:SMC",
pages = "293--307",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bank:1977:MAE,
author = "Randolph E. Bank and Donald J. Rose",
title = "Marching Algorithms for Elliptic Boundary Value
Problems. {I}: The Constant Coefficient Case",
journal = j-SINUM,
volume = "14",
number = "5",
pages = "792--829",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Only partially ph'copied.",
}
@TechReport{Bargmann:1946:SLS,
author = "V. Bargmann and D. Montgomery and J. von Neumann",
title = "Solution of Linear Systems of High Order",
type = "Report prepared for {Navy Bureau of Ordnance}",
address = "????",
pages = "????",
year = "1946",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted in \cite[pp.~421--477]{Taub:1963:JNC}",
}
@Article{Bar-Itzhack:1975:IOO,
author = "Itzhack Y. Bar-Itzhack",
title = "Iterative Optimal Orthogonalization of the Strapdown
Matrix",
journal = j-IEEE-TRANS-AEROSPACE,
volume = "AES-11",
number = "1",
pages = "30--37",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bar-Itzhack:1977:UCT,
author = "Itzhack Y. Bar-Itzhack",
title = "A Unidimensional Convergence Test for Matrix Iterative
Processes Applied to Strapdown Navigation",
journal = j-INT-J-NUM-METH-ENG,
volume = "11",
pages = "115--130",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bar-Itzhack:1969:OTD,
author = "I. Y. Bar-Itzhack and K. A. Fegley",
title = "Orthogonalization techniques of a direction cosine
matrix",
journal = j-IEEE-TRANS-AEROSPACE,
volume = "AES-5",
number = "5",
pages = "798--804",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bar-Itzhack:1990:MPS,
author = "I. Y. Bar-Itzhack and F. L. Markley",
title = "Minimal parameter solution of the orthogonal matrix
differential equation",
journal = j-IEEE-AC,
volume = "AC-35",
pages = "314--317",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bar-Itzhack:1976:CIO,
author = "Itzhack Y. Bar-Itzhack and Jeffrey Meyer",
title = "On the Convergence of Iterative Orthogonalization
Processes",
journal = j-IEEE-TRANS-AEROSPACE,
volume = "AES-12",
number = "2",
pages = "146--151",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bar-Itzhack:1976:SMO,
author = "IItzhack Y. Bar-Itzhack and J. Meyer and P. A.
Fuhrmann",
title = "Strapdown Matrix Orthogonalization: {The} Dual
Iterative Algorithm",
journal = j-IEEE-TRANS-AEROSPACE,
volume = "AES-12",
number = "1",
pages = "32--37",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bard:1974:NPE,
author = "Yonathan Bard",
title = "Nonlinear Parameter Estimation",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "x + 341",
year = "1974",
ISBN = "0-12-078250-2",
ISBN-13 = "978-0-12-078250-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Includes opt'n. Looks out of date. Nothing took my
fancy.",
}
@Article{Bardsley:1986:FTM,
author = "W. G. Bardsley and P. B. McGinlay and A. J. Wright",
title = "The {F} test for model discrimination with exponential
functions",
journal = j-BIOMET,
volume = "73",
pages = "501--508",
year = "1986",
ISSN = "0006-3444 (print), 1464-3510 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@PhdThesis{Barlow:1981:PEA,
author = "Jesse L. Barlow",
title = "Probabilistic Error Analysis of Floating Point and
{CRD} Arithmetics",
school = inst-NORTHWESTERN-UNIVERSITY,
address = inst-NORTHWESTERN-UNIVERSITY:adr,
pages = "????",
month = jun,
year = "1981",
bibdate = "Thu Sep 14 10:04:14 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Barlow:1981:DAR,
author = "Jesse L. Barlow",
editor = "",
booktitle = "Proc. 5th IEEE Symposium on Computer Arithmetic, Ann
Arbor, Michigan",
title = "On the Distribution of Accumulated Roundoff Error in
Floating Point Arithmetic",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "100--105",
year = "1981",
bibdate = "Tue Nov 22 12:26:46 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1986:NMS,
author = "J. L. Barlow",
title = "A Note on Monitoring the Stability of Triangular
Decomposition of Sparse Matrices",
journal = j-SISSC,
volume = "7",
number = "1",
pages = "166--168",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1986:SPS,
author = "Jesse L. Barlow",
title = "On the Smallest Positive Singular Value of a Singular
{$M$}-Matrix with Applications to Ergodic {Markov}
Chains",
journal = j-SIAD,
volume = "7",
number = "3",
pages = "414--424",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Barlow:1988:DDL,
author = "Jesse L. Barlow",
title = "On the Discrete Distribution of Leading Significant
Digits in Finite Precision Arithmetic",
type = "Technical Report",
number = "CS-88-35",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA, USA",
pages = "15",
month = sep,
year = "1988",
bibdate = "Tue Nov 22 13:41:00 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1988:EAI,
author = "Jesse L. Barlow",
title = "Error Analysis and Implementation Aspects of Deferred
Correction for Equality Constrained Least Squares
Problems",
journal = j-SINUM,
volume = "25",
number = "6",
pages = "1340--1358",
year = "1988",
bibdate = "Tue Feb 28 10:23:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1991:EAP,
author = "Jesse L. Barlow",
title = "Error Analysis of a Pairwise Summation Algorithm to
Compute the Sample Variance",
journal = j-NUM-MATH,
volume = "58",
pages = "583--590",
year = "1991",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Barlow:1993:EAU,
author = "Jesse L. Barlow",
title = "Error Analysis of Update Methods for the Symmetric
Eigenvalue Problem",
journal = j-SIMAX,
volume = "14",
number = "2",
pages = "598--618",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1993:EBC,
author = "Jesse L. Barlow",
title = "Error Bounds for the Computation of Null Vectors with
Applications to {Markov} Chains",
journal = j-SIMAX,
volume = "14",
number = "3",
pages = "798--812",
year = "1993",
bibdate = "Mon Nov 7 09:27:45 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Barlow:1993:LNP,
author = "Jesse L. Barlow",
editor = "J. Gilbert and D. Kershaw",
booktitle = "Numerical Analysis 1992. {Proceedings of SERC Summer
School in Lancaster}",
title = "Lecture Notes on Parallel Solution of the Symmetric
Eigenvalue Problem",
publisher = pub-OXFORD,
pages = "??--??",
year = "1993",
bibdate = "Wed Nov 9 10:55:11 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not seen - needs verifying.",
}
@Article{Barlow:1985:RED,
author = "Jesse L. Barlow and E. H. Bareiss",
title = "On Roundoff Error Distributions in Floating Point and
Logarithmic Arithmetic",
journal = j-COMPUTING,
volume = "34",
pages = "325--347",
year = "1985",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Barlow:1985:PEA,
author = "Jesse L. Barlow and E. H. Bareiss",
title = "Probabilistic Error Analysis of {Gaussian} Elimination
in Floating Point and Logarithmic Arithmetic",
journal = j-COMPUTING,
volume = "34",
pages = "349--364",
year = "1985",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Barlow:1988:DSW,
author = "Jesse L. Barlow and Susan L. Handy",
title = "The Direct Solution of Weighted and Equality
Constrained Least-Squares Problems",
journal = j-SISSC,
volume = "9",
number = "4",
pages = "704--716",
year = "1988",
bibdate = "Tue Feb 28 10:23:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1995:MCO,
author = "J. B. Barlow and S.-M. Lu",
title = "Multifrontal Computation with the Orthogonal Factors
of Sparse Matrices",
journal = j-SIMAX,
pages = "??--??",
year = "1995",
bibdate = "Tue Nov 15 20:22:37 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear",
}
@Article{Barlow:1992:CMS,
author = "J. B. Barlow and M. M. Monahemi and D. P. O'Leary",
title = "Constrained matrix {Sylvester} equations",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "1--9",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1990:CAE,
author = "Jesse L. Barlow and James W. Demmel",
title = "Computing Accurate Eigensytems of Scaled Diagonally
Dominant Matrices",
journal = j-SINUM,
volume = "27",
number = "3",
pages = "762--791",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Tech. Rep. 421, Courant, NYU, December 1988",
}
@Article{Barlow:1987:SGR,
author = "Jesse L. Barlow and Ilse C. F. Ipsen",
title = "Scaled {Givens} Rotations for the Solution of Linear
Least Squares Problems on Systolic Arrays",
journal = j-SISSC,
volume = "8",
number = "5",
pages = "716--733",
year = "1987",
bibdate = "Mon Nov 7 20:08:43 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1992:RDM,
author = "Jesse L. Barlow and Udaya B. Vemulapati",
title = "Rank Detection Methods for Sparse Matrices",
journal = j-SIMAX,
volume = "13",
number = "4",
pages = "1279--1297",
year = "1992",
bibdate = "Tue Feb 28 10:30:39 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barlow:1992:NDC,
author = "Jesse L. Barlow and Udaya B. Vemulapati",
title = "A Note on Deferred Correction for Equality Constrained
Least Squares Problems",
journal = j-SINUM,
volume = "29",
number = "1",
pages = "249--256",
year = "1992",
bibdate = "Tue Feb 28 10:23:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Barlow:1990:EAU,
author = "Jesse L. Barlow and Richard J. Zaccone",
title = "Error Analysis in Unnormalized Floating Point
Arithmetic",
type = "Technical Report",
number = "CS-90-23",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA",
pages = "????",
month = apr,
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Barlow:1993:SCA,
author = "Jesse L. Barlow and Hongyuan Zha and Peter A. Yoon",
title = "Stable Chasing Algorithms for Modifying Complete and
Partial Singular Value Decompositions",
type = "Technical Report",
number = "CSE-93-19",
institution = "Department of Computer Science, Pennsylvania State
University",
address = "University Park, PA",
pages = "????",
month = dec,
year = "1993",
bibdate = "Mon Nov 7 09:35:16 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barnes:1965:ASN,
author = "J. G. P. Barnes",
title = "An algorithm for solving non-linear equations based on
the secant method",
journal = j-COMP-J,
volume = "8",
pages = "66--72",
year = "1965",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Barnett:1975:SAC,
author = "S. Barnett",
title = "Some applications of the comrade matrix",
journal = j-INT-J-CTL,
volume = "21",
pages = "849--855",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Eigenvectors of comrade form a {Vandermonde}-like
matrix",
}
@Book{Barnett:1975:IMC,
author = "S. Barnett",
title = "Introduction to Mathematical Control Theory",
publisher = pub-OXFORD,
address = "????",
pages = "????",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Barnett:1990:MMA,
author = "S. Barnett",
title = "Matrices: Methods and Applications",
publisher = pub-OXFORD,
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Overall: nothing new to me so little use. Perhaps OK
for u/g's.",
}
@Article{Barnett:1968:SAL,
author = "S. Barnett and C. Storey",
title = "Some Applications of the {Lyapunov} Matrix Equation",
journal = j-JIMA,
volume = "4",
pages = "33--42",
year = "1968",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barraud:1979:IAF,
author = "A. Y. Barraud",
title = "Investigations Autour de la Fonction Signe d'une
Matrice Application a l'{\'E}quation de {Riccati}",
journal = j-RAIRO-AUTOMATIQUE-SYSTEMS-ANA-CONTROL,
volume = "13",
number = "4",
pages = "335--368",
year = "1979",
CODEN = "RFAADN",
ISSN = "0035-3035, 0399-0524",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "R.A.I.R.O. Automatique/Systems Analysis and Control",
}
@Article{Barraud:1979:CNS,
author = "A. Y. Barraud",
title = "Comments on ``{The} Numerical Solution of {$ A^T Q + Q
A = -C$ }",
journal = j-IEEE-AC,
volume = "AC-24",
number = "4",
pages = "671--672",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrett:1989:FMA,
author = "Geoff Barrett",
title = "Formal Methods Applied to a Floating-Point Number
System",
journal = j-IEEE-SE,
volume = "15",
number = "5",
pages = "611--621",
year = "1989",
bibdate = "Tue Nov 22 11:53:06 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Barrett:1994:TSL,
author = "Richard Barrett and Michael Berry and Tony F. Chan and
James Demmel and June Donato and Jack Dongarra and
Victor Eijkhout and Roldan Pozo and Charles Romine and
Henk van der Vorst",
title = "Templates for the Solution of Linear Systems:
{Building} Blocks for Iterative Methods",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xiii + 112",
year = "1994",
ISBN = "0-89871-328-5",
ISBN-13 = "978-0-89871-328-2",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Barrett:1994:ABI,
author = "Richard Barrett and Michael Berry and Jack Dongarra
and Victor Eijkhout and Charles Romine",
title = "Algorithmic Bombardment for the Iterative Solution of
Linear Systems: {A} Poly-Iterative Approach",
type = "Technical Report",
number = "CS-94-239",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "????",
month = aug,
year = "1994",
bibdate = "Tue Dec 20 09:26:39 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrett:1984:TMB,
author = "Wayne W. Barrett",
title = "{Toeplitz} Matrices with Banded Inverses",
journal = j-LAA,
volume = "57",
pages = "131--145",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrett:1981:IBM,
author = "Wayne W. Barrett and Philip J. Feinsilver",
title = "Inverses of Banded Matrices",
journal = j-LAA,
volume = "41",
pages = "111--130",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrett:1988:SRM,
author = "Wayne W. Barrett and Rodney W. Forcade and Andrew D.
Pollington",
title = "On the Spectral Radius of a (0,1) Matrix Related to
{Mertens'} Function",
journal = j-LAA,
volume = "107",
pages = "151--159",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrett:1992:SPM,
author = "Wayne W. Barrett and Tyler J. Jarvis",
title = "Spectral Properties of a Matrix of {Redheffer}",
journal = j-LAA,
volume = "162",
pages = "673--683",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barrlund:1990:PBP,
author = "Anders Barrlund",
title = "Perturbation Bounds on the Polar Decomposition",
journal = j-BIT,
volume = "30",
pages = "101--113",
year = "1990",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Barrlund:1991:PBD,
author = "Anders Barrlund",
title = "Perturbation Bounds for the {$LDL^H$} and {$LU$}
Decompositions",
journal = j-BIT,
volume = "31",
pages = "358--363",
year = "1991",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@TechReport{Barrlund:1992:HIC,
author = "Anders Barrlund",
title = "How Integrals Can Be Used to Derive Matrix
Perturbation Bounds",
type = "Report",
number = "UMINF 92.11",
institution = inst-CS-U-Umea,
address = inst-CS-U-Umea:adr,
pages = "8",
month = sep,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Barrlund:1994:NSM,
author = "Anders Barrlund",
title = "A Note on Some Matrix Perturbation Bounds",
type = "Report",
number = "UMINF 94.03",
institution = "Department of Information Processing, University of
Ume{\aa}",
address = "Sweden",
pages = "????",
year = "1994",
bibdate = "Sun Feb 19 11:28:14 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Barron:1960:SSL,
author = "D. W. Barron and H. P. F. Swinnerton--Dyer",
title = "Solution of Simultaneous Linear Equations Using a
Magnetic-Tape Store",
journal = j-COMP-J,
volume = "3",
number = "1",
pages = "28--33",
year = "1960",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@MastersThesis{Bartels:1991:TTM,
author = "Sven G. Bartels",
title = "Two Topics in Matrix Analysis: {Structured}
Sensitivity for {Vandermonde}-Like Systems and a
Subgradient Method for Matrix Norm Estimation",
type = "{M.Sc. Thesis}",
school = inst-U-Dundee,
address = inst-U-Dundee:adr,
pages = "????",
month = sep,
year = "1991",
bibdate = "Thu Sep 14 15:26:32 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bartels:1989:GDL,
author = "Richard Bartels and Barry Joe",
title = "On Generating Discrete Linear $l_{\infty}$ Test
Problems",
journal = j-SISSC,
volume = "10",
number = "3",
pages = "550--561",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bartels:1972:ASM,
author = "R. H. Bartels and G. W. Stewart",
title = "Algorithm 432: {Solution} of the Matrix Equation
{$AX+XB=C$}",
journal = j-CACM,
volume = "15",
number = "9",
pages = "820--826",
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Bartels:1992:SSV,
author = "Sven G. Bartels and Desmond J. Higham",
title = "The Structured Sensitivity of {Vandermonde}-like
Systems",
journal = j-NUM-MATH,
volume = "62",
pages = "17--33",
year = "1992",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Barwell:1976:CAS,
author = "Victor Barwell and Alan George",
title = "A Comparison of Algorithms for Solving Symmetric
Indefinite Systems of Linear Equations",
journal = j-TOMS,
volume = "2",
number = "3",
pages = "242--251",
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Thu Jan 26 20:43:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Barzilai:1988:TPS,
author = "Jonathan Barzilai and Jonathan M. Borwein",
title = "Two-Point Step Size Gradient Methods",
journal = j-IMAJNA,
volume = "8",
pages = "141--148",
year = "1988",
bibdate = "Fri Sep 30 15:52:35 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Basilevsky:1983:AMA,
author = "A. Basilevsky",
title = "Applied Matrix Algebra in the Statistical Sciences",
publisher = pub-NH,
address = pub-NH:adr,
pages = "????",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Of little interest. Some applications incl. data.",
}
@Article{Bates:1983:DXU,
author = "Douglas Bates",
title = "The Derivative of {$ |X^\prime X| $} and Its Uses",
journal = j-TECHNOMETRICS,
volume = "25",
number = "4",
pages = "373--376",
month = nov,
year = "1983",
CODEN = "TCMTA2",
DOI = "https://doi.org/10.2307/1267859",
ISSN = "0040-1706 (print), 1537-2723 (electronic)",
ISSN-L = "0040-1706",
bibdate = "Sat Jun 21 13:19:10 MDT 2014",
bibsource = "http://www.jstor.org/journals/00401706.html;
http://www.jstor.org/stable/i254317;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/technometrics1980.bib",
URL = "http://www.jstor.org/stable/1267859",
acknowledgement = ack-nhfb,
fjournal = "Technometrics",
journal-URL = "http://www.jstor.org/journals/00401706.html",
}
@Article{Battle:1993:ZAR,
author = "Mary Vroman Battle and Ernest A. Rakow",
title = "Zen and the Art of Reporting Differences in Data That
Are Not Statistically Significant",
journal = j-IEEE-PC,
volume = "36",
number = "2",
pages = "75--80",
year = "1993",
bibdate = "Tue Aug 22 12:10:59 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bauer:1963:OSMa,
author = "F. L. Bauer",
title = "Optimally Scaled Matrices",
journal = j-NUM-MATH,
volume = "5",
pages = "73--87",
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Bauer:1963:OSMb,
author = "F. L. Bauer",
editor = "Cicely M. Popplewell",
booktitle = "Proc. IFIP Congress 1962",
title = "Optimal Scaling of Matrices and the Importance of the
Minimal Condition",
publisher = pub-NH,
address = pub-NH:adr,
pages = "198--201",
year = "1963",
bibdate = "Fri Apr 7 09:18:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Information Processing 62",
}
@Article{Bauer:1966:GLG,
author = "F. L. Bauer",
title = "Genauigkeitsfragen bei der {L{\"o}sung} linearer
{Gleichungssysteme}",
journal = j-ZEIT-ANGE-MATH-MECH,
volume = "46",
number = "7",
pages = "409--421",
year = "1966",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bauer:1969:ROS,
author = "F. L. Bauer",
title = "Remarks on Optimally Scaled Matrices",
journal = j-NUM-MATH,
volume = "13",
pages = "1--3",
year = "1969",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Bauer:1974:CGR,
author = "F. L. Bauer",
title = "Computational Graphs and Rounding Errors",
journal = j-SINUM,
volume = "11",
number = "1",
pages = "87--96",
year = "1974",
bibdate = "Mon Oct 3 19:02:31 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bauer:1975:PN,
author = "F. L. Bauer",
title = "Positivity and norms",
journal = j-CACM,
volume = "18",
pages = "9--13",
year = "1975",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Bauer:1960:NET,
author = "F. L. Bauer and C. T. Fike",
title = "Norms and Exclusion Theorems",
journal = j-NUM-MATH,
volume = "2",
pages = "137--141",
year = "1960",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InCollection{Bauer:1971:IPD,
author = "F. L. Bauer and C. Reinsch",
editor = "J. H. Wilkinson and C. Reinsch",
booktitle = "Linear Algebra",
title = "Inversion of Positive Definite Matrices by the
{Gauss--Jordan} Method",
volume = "II",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "45--49",
year = "1971",
bibdate = "Sat Apr 8 11:40:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Contribution I/3",
series = "Handbook for Automatic Computation",
mycrossref = "Wilkinson:1971:LA",
mynote = "Using crossref alone I couldn't get correct
formatting, so reverted to in-lining.",
}
@Article{Bauer:1961:AMN,
author = "F. L. Bauer and J. Stoer and C. Witzgall",
title = "Absolute and Monotonic Norms",
journal = j-NUM-MATH,
volume = "3",
pages = "257--264",
year = "1961",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Baumert:1962:DHM,
author = "L. Baumert and S. W. Golomb and M. {Hall, Jr.}",
title = "Discovery of an {Hadamard} matrix of order 92",
journal = j-BAMS,
volume = "68",
pages = "237--238",
year = "1962",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Gives the n=92 matrix.",
}
@Article{Baur:1983:CPD,
author = "W. Baur and V. Strassen",
title = "The complexity of partial derivatives",
journal = j-THEOR-COMP-SCI,
volume = "22",
pages = "317--330",
year = "1983",
CODEN = "TCSCDI",
ISSN = "0304-3975 (print), 1879-2294 (electronic)",
ISSN-L = "0304-3975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Theoretical Computer Science",
journal-URL = "http://www.sciencedirect.com/science/journal/03043975",
}
@Article{Baxter:1991:CPF,
author = "B. J. C. Baxter",
title = "Conditionally Positive Functions and {$p$}-Norm
Distance Matrices",
journal = j-CONST-APPROX,
volume = "7",
pages = "427--440",
year = "1991",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Constructive Approximation",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Beam:1993:ASB,
author = "Richard M. Beam and Robert F. Warming",
title = "The Asymptotic Spectra of Banded {Toeplitz} and
Quasi-{Toeplitz} Matrices",
journal = j-SISC,
volume = "14",
number = "4",
pages = "971--1006",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Beaton:1976:ARS,
author = "Albert E. Beaton and Donald B. Rubin and John L.
Barone",
title = "The Acceptability of Regression Solutions: {Another}
Look at Computational Accuracy",
journal = j-J-AMER-STAT-ASSOC,
volume = "71",
number = "353",
pages = "158--168",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Beattie:1992:OMA,
author = "C. A. Beattie and S. W. Smith",
title = "Optimal Matrix Approximants in Structural
Identification",
journal = j-J-OPT-THEORY-APPL,
volume = "74",
number = "1",
pages = "23--56",
year = "1992",
CODEN = "JOTABN",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
}
@Article{Beavers:1973:CME,
author = "A. N. {Beavers, Jr.} and E. D. Denman",
title = "A Computational Method for Eigenvalues and
Eigenvectors of a Matrix with Real Eigenvalues",
journal = j-NUM-MATH,
volume = "21",
pages = "389--396",
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Beavers:1974:NSM,
author = "A. N. {Beavers, Jr.} and Eugene D. Denman",
title = "A New Solution Method for Quadratic Matrix Equations",
journal = j-MATH-BIOSCI,
volume = "20",
pages = "135--143",
year = "1974",
CODEN = "MABIAR",
ISSN = "0025-5564 (print), 1879-3134 (electronic)",
ISSN-L = "0025-5564",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Biosciences",
journal-URL = "http://www.sciencedirect.com/science/journal/00255564",
}
@Article{Beavers:1974:ASM,
author = "A. N. {Beavers, Jr.} and Eugene D. Denman",
title = "Asymptotic Solutions to the Matrix {Riccati}
Equation",
journal = j-MATH-BIOSCI,
volume = "20",
pages = "339--344",
year = "1974",
CODEN = "MABIAR",
ISSN = "0025-5564 (print), 1879-3134 (electronic)",
ISSN-L = "0025-5564",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Biosciences",
journal-URL = "http://www.sciencedirect.com/science/journal/00255564",
}
@Article{Beauwens:1979:FIM,
author = "R. Beauwens",
title = "Factorization iterative methods, {$M$}-operators and
{$H$}-operators",
journal = j-NUM-MATH,
volume = "31",
pages = "335--357",
year = "1979",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "Note: nothing on (block) diagonal dominance. No
interest.",
}
@Book{Belitskii:1988:MNT,
author = "G. R. Belitskii and {Yu.} I. Lyubich",
title = "Matrix Norms and Their Applications",
volume = "36",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Operator Theory: Advances and Applications",
mynote = "Nothing of interest. Very pure. Translated from the
Russian by A. Iacob.",
}
@Book{Beckenbach:1961:I,
author = "E. F. Beckenbach and R. Bellman",
title = "Inequalities",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "????",
year = "1961",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bell:1971:CSR,
author = "C. Gordon Bell and Allen Newell",
title = "Computer Structures: {Readings} and Examples",
publisher = pub-MH,
address = pub-MH:adr,
pages = "xix + 668",
year = "1971",
ISBN = "0-07-004357-4",
ISBN-13 = "978-0-07-004357-2",
LCCN = "TK7888.3 .B4",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Reprinted articles on computer architecture;
technical.",
}
@Article{Bellman:1968:SIS,
author = "R. Bellman",
title = "Some inequalities for the square root of a positive
definite matrix",
journal = j-LAA,
volume = "1",
pages = "321--324",
year = "1968",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bellman:1970:IMA,
author = "Richard Bellman",
title = "Introduction to Matrix Analysis",
publisher = pub-MH,
address = pub-MH:adr,
edition = "Second",
pages = "xxiii + 403",
year = "1970",
ISBN = "0-89871-346-3",
ISBN-13 = "978-0-89871-346-6",
bibdate = "Thu Mar 2 12:01:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "First edition (1960) reprinted by Society for
Industrial and Applied Mathematics, Philadelphia, PA,
USA, 1995.",
}
@Book{Belsley:1980:RDI,
author = "D. A. Belsley and E. Kuh and R. E. Welsch",
title = "Regression Diagnostics: Identifying Influential Data
and Sources of Collinearity",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Benford:1938:LAN,
author = "Frank Benford",
title = "The Law of Anomalous Numbers",
journal = j-PROC-AMER-PHIL-SOC,
volume = "78",
number = "4",
pages = "551--572",
month = mar,
year = "1938",
CODEN = "PAPCAA",
ISSN = "0003-049X (print), 2326-9243 (electronic)",
ISSN-L = "0003-049X",
bibdate = "Thu Feb 15 16:28:28 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/benfords-law.bib;
http://www.math.utah.edu/pub/tex/bib/jamstatassoc.bib",
note = "See comments about Benford's biased rounding practices
\cite{Diaconis:1979:RP}.",
URL = "http://links.jstor.org/sici?sici=0003-049X%2819380331%2978%3A4%3C551%3ATLOAN%3E2.0.CO%3B2-G",
ZMnumber = "JFM 64.0555.03; Zbl 0018.26502",
abstract = "It has been observed that the first pages of a table
of common logarithms show more wear than do the last
pages, indicating that more used numbers begin with the
digit 1 than with the digit 9. A compilation of some
20,000 first digits taken from widely divergent sources
shows that there is a logarithmic distribution of first
digits when the numbers are composed of four or more
digits. An analysis of the numbers from different
sources shows that the numbers taken from unrelated
subjects, such as a group of newspaper items, show a
much better agreement with a logarithmic distribution
than do numbers from mathematical tabulations or other
formal data. There is here the peculiar fact that
numbers that individually are without relationship are,
when considered in large groups, in good agreement with
a distribution law---hence the name ``Anomalous
Numbers.''\par
A further analysis of the data shows a strong tendency
for bodies of numerical data to fall into geometric
series. If the series is made up of numbers containing
three or more digits the first digits form a
logarithmic series. If the numbers contain only single
digits the geometric relation still holds but the
simple logarithmic relation no longer applies.\par
An equation is given showing the frequencies of first
digits in the different orders of numbers 1 to 10, 10
to 100, etc.\par
The equation also gives the frequency of digits in the
second, third + place of a multi-digit number, and it
is shown that the same law applies to
reciprocals.\par
There are many instances showing that the geometric
series, or the logarithmic law, has long been
recognized as a common phenomenon in factual literature
and in the ordinary affairs of life. The wire gauge and
drill gauge of the mechanic, the magnitude scale of the
astronomer and the sensory response curves of the
psychologist are all particular examples of a
relationship that seems to extend to all human affairs.
The Law of Anomalous Numbers is thus a general
probability law of widespread application.",
acknowledgement = ack-nhfb,
author-dates = "1883--December 4, 1948",
fjournal = "Proceedings of the {American Philosophical Society}
held at {Philadelphia} for promoting useful knowledge",
journal-URL = "http://www.jstor.org/journal/procamerphilsoci",
keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law",
remark = "From \cite{Logan:1978:FDP}: ``Benford's paper was
published in 1938 in a journal of rather limited
circulation and not usually read by mathematicians. It
so happened that it was immediately followed in the
same issue by a physics paper which became of some
importance for secret nuclear work during World War II
[H. A. Bethe, M. E. Rose, and L. P. Smith, `The
Multiple Scattering of Electrons', Proc. Amer. Phil.
Soc. 78(4), 573--585 (1938)]. That is why Benford's
paper caught the attention of physicists in the early
1940's and was much discussed. This led to the notes in
Nature by Goudsmit and Furry [3] and Furry and Hurwitz
[4] containing an effort to explain Benford's law. We
considered it at that time merely a welcome diversion
and did not expect that over thirty papers would be
devoted to this subject in subsequent years.'' The 2006
bibliography \cite{Hurlimann:2006:BLB} cites 325
publications about Benford's Law.",
xxURL = "http://en.wikipedia.org/wiki/Frank_Benford",
}
@Article{Bennani:1994:SCE,
author = "Maria Bennani and Thierry Braconnier",
title = "Stopping Criteria for Eigensolvers",
journal = j-JNLAA,
pages = "??--??",
year = "1994",
ISSN = "0129-3281",
bibdate = "Wed Sep 20 21:27:01 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Submitted",
fjournal = "Journal of Numerical Linear Algebra with Applications",
}
@Article{Benschop:1971:MSE,
author = "N. F. Benschop and H. C. Ratz",
title = "A Mean Square Estimate of the Generated Roundoff Error
in Constant Matrix Iterative Processes",
journal = j-ACM,
volume = "18",
number = "1",
pages = "48--62",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Benoit:1924:NMR,
author = "Commandant Benoit",
title = "Note sur une m\'ethode de r\'esolution des \'equations
normales provenant de l'application de la m\'ethode des
moindres carr\'es \`a un syst\`eme d'\'equations
lin\'eaires en nombre inf\'erieur \`a celui des
inconnues. {Application} de la m\'ethode \`a la
r\'esolution d'un syst\`eme d\'efini d'\'equations
lin\'eaires ({Proc\'ed\'e de Commandant Cholesky})",
journal = j-BULL-GEODESIQUE,
volume = "7",
number = "1",
pages = "67--77",
year = "1924",
CODEN = "BGDQAG",
ISSN = "0007-4632",
bibdate = "Wed Nov 16 15:12:48 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Cited in \cite[Cottle's
translation]{Anonymous:1922:CC}",
fjournal = "Bulletin G\'eod\'esique (Toulouse)",
journal-URL = "http://link.springer.com/journal/190",
mynote = "See also citation in \cite{Householder:1964:TMN}.",
}
@Article{Benzinger:1987:CCD,
author = "Harold E. Benzinger and Scott A. Burns and Julian I.
Palmore",
title = "Chaotic Complex Dynamics and {Newton}'s Method",
journal = j-PHYS-LET-A,
volume = "119",
number = "9",
pages = "441--446",
year = "1987",
CODEN = "PYLAAG",
ISSN = "0375-9601 (print), 1873-2429 (electronic)",
ISSN-L = "0375-9601",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Physics Letters A",
journal-URL = "http://www.sciencedirect.com/science/journal/03759601",
}
@Article{Berenbaum:1991:DSM,
author = "M. C. Berenbaum",
title = "Direct Search Methods in the Optimisation of Cancer
Chemotherapy",
journal = j-BRITISH-J-CANCER,
volume = "61",
pages = "101--109",
year = "1991",
CODEN = "BJCAAI",
ISSN = "0007-0920 (print), 1532-1827 (electronic)",
ISSN-L = "0007-0920",
bibdate = "Fri Sep 30 16:00:20 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "British Journal of Cancer",
}
@Book{Berman:1979:NMM,
author = "A. Berman and R. J. Plemmons",
title = "Nonnegative Matrices in the Mathematical Sciences",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "????",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Berman:1994:NMM,
author = "Abraham Berman and Robert J. Plemmons",
title = "Nonnegative Matrices in the Mathematical Sciences",
volume = "9",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xx + 340",
year = "1994",
DOI = "https://doi.org/10.1137/1.9781611971262",
ISBN = "0-89871-321-8",
ISBN-13 = "978-0-89871-321-3",
LCCN = "QA188 .B47 1994",
MRclass = "15A48 (15-02 60J10 90C33)",
MRnumber = "1298430 (95e:15013)",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/han-wri-mat-sci-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib",
note = "Revised reprint of \cite{Berman:1979:NMM}.",
series = "Classics in Applied Mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0708/94037449-d.html;
http://www.loc.gov/catdir/enhancements/fy0708/94037449-t.html",
abstract = "Here is a valuable text and research tool for
scientists and engineers who use or work with theory
and computation associated with practical problems
relating to Markov chains and queuing networks,
economic analysis, or mathematical programming.
Originally published in 1979, this new edition adds
material that updates the subject relative to
developments from 1979 to 1993. Theory and applications
of nonnegative matrices are blended here, and extensive
references are included in each area. You will be led
from the theory of positive operators via the
Perron-Frobenius theory of nonnegative matrices and the
theory of inverse positivity, to the widely used topic
of $M$-matrices. On the way, semigroups of nonnegative
matrices and symmetric nonnegative matrices are
discussed. Later, applications of nonnegativity and
$M$-matrices are given; for numerical analysis the
example is convergence theory of iterative methods, for
probability and statistics the examples are finite
Markov chains and queuing network models, for
mathematical economics the example is input-output
models, and for mathematical programming the example is
the linear complementarity problem. Nonnegativity
constraints arise very naturally throughout the
physical world. Engineers, applied mathematicians, and
scientists who encounter nonnegativity or
generalizations of nonegativity in their work will
benefit from topics covered here, connecting them to
relevant theory. Researchers in one area, such as
queuing theory, may find useful the techniques
involving nonnegative matrices used by researchers in
another area, say, mathematical programming. Exercises
and biographical notes are included with each
chapter.",
acknowledgement = ack-njh # " and " # ack-nhfb # " and " # ack-rah,
tableofcontents = "1: Matrices Which Leave a Cone Invariant \\
2: Nonnegative Matrices \\
3: Semigroups of Nonnegative Matrices \\
4: Symmetric Nonnegative Matrices \\
5: Generalized Inverse-Positivity \\
6: $M$-Matrices \\
7: Iterative Methods for Linear Systems \\
8: Finite Markov Chains \\
9: Input-Output Analysis in Economics \\
10: The Linear Complementarity Problem \\
11: Supplement 1979--1993 \\
References \\
Index",
}
@Article{Bernstein:1971:AEA,
author = "A. R. Bernstein",
title = "Almost eigenvectors for almost commuting matrices",
journal = j-SIAMA,
volume = "21",
pages = "232--235",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Berry:1992:LSS,
author = "Michael W. Berry",
title = "Large-Scale Sparse Singular Value Computations",
journal = j-IJSA,
volume = "6",
number = "1",
pages = "13--49",
year = "1992",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
}
@Article{Berry:1989:OPA,
author = "Michael Berry and Ahmed H. Sameh",
title = "An Overview of Parallel Algorithms for the Singular
Value and Symmetric Eigenvalue Problems",
journal = j-JCAM,
volume = "27",
pages = "191--213",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bertsekas:1989:PDC,
author = "Dimitri P. Bertsekas and John N. Tsitsiklis",
title = "Parallel and Distributed Computation",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bevilacqua:1990:SCI,
author = "R. Bevilacqua and C. Lotti and F. Romani",
title = "Storage compression of inverses of band matrices",
journal = j-COMPUT-MATH-APPL,
volume = "20",
pages = "1--11",
year = "1990",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Book{Bevington:1969:DRE,
author = "Philip R. Bevington",
title = "Data Reduction and Error Analysis for the Physical
Sciences",
publisher = pub-MH,
address = pub-MH:adr,
pages = "xv + 336",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Nothing of interest. Defines `significant digits' but
not `correct SDs'. Lots of statistical stuff.",
}
@Unpublished{Bhatia:1993:FSO,
author = "Rajendra Bhatia",
title = "First and Second Order Perturbation Bounds for the
Operator Absolute Value",
address = "????",
pages = "????",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript, Indian Statistical Institute",
}
@Article{Bhatia:1994:MFT,
author = "Rajendra Bhatia",
title = "Matrix Factorisations and Their Perturbations",
journal = j-LAA,
volume = "197/198",
pages = "245--276",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "I have manuscript, Indian Statistical Institute,
1992.",
}
@Article{Bhatia:1991:NAB,
author = "R. Bhatia and R. A. Horn and F. Kittaneh",
title = "Normal approximants to binormal operators",
journal = j-LAA,
volume = "147",
pages = "169--179",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bhatia:1994:VUP,
author = "Rajendra Bhatia and Kalyan Mukherjea",
title = "Variation of the Unitary Part of a Matrix",
journal = j-SIMAX,
volume = "15",
number = "3",
pages = "1007--1014",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bhatia:1996:HWS,
author = "Rajendra Bhatia and Peter Rosenthal",
title = "How and Why To Solve the Operator Equation {$AX - XB =
Y$}",
journal = j-BULL-LONDON-MS,
pages = "??--??",
year = "1996",
ISSN = "0024-6093 (print), 1469-2120 (electronic)",
bibdate = "Thu Sep 14 15:28:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear",
}
@Book{Bickley:1964:MTM,
author = "W. G. Bickley and R. S. H. G. Thompson",
title = "Matrices: {Their} Meaning and Manipulation",
publisher = "Van Nostrand",
address = "Princeton, New Jersey",
pages = "????",
year = "1964",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "My copy signed by Givens.",
}
@Article{Bini:1993:MAR,
author = "Dario Bini and Paola Favati",
title = "On a Matrix Algebra Related to the Discrete {Hartley}
Transform",
journal = j-SIMAX,
volume = "14",
number = "2",
pages = "500--507",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bini:1980:SFA,
author = "Dario Bini and Grazia Lotti",
title = "Stability of Fast Algorithms for Matrix
Multiplication",
journal = j-NUM-MATH,
volume = "36",
pages = "63--72",
year = "1980",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Book{Bini:1994:PMC,
author = "Dario Bini and Victor Y. Pan",
title = "Polynomial and Matrix Computations. Volume 1:
{Fundamental} Algorithms",
publisher = pub-BH,
address = pub-BH:adr,
pages = "xvi + 415",
year = "1994",
ISBN = "0-8176-3786-9",
ISBN-13 = "978-0-8176-3786-6",
bibdate = "Tue Mar 7 19:51:13 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Birkhoff:1975:THN,
author = "Garrett Birkhoff",
title = "Two {Hadamard} Numbers for Matrices",
journal = j-CACM,
volume = "18",
number = "1",
pages = "25--29",
year = "1975",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Birkhoff:1979:IDT,
author = "Garrett Birkhoff and Surender Gulati",
title = "Isotropic Distributions of Test Matrices",
journal = j-J-APPL-MATH-PHYS,
volume = "30",
pages = "148--158",
year = "1979",
CODEN = "ZAMPDB",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of applied mathematics and physics = Zeitschrift f{\"u}r angewandte Mathematik und Physik",
}
@Book{Birkhoff:1984:NSE,
author = "Garrett Birkhoff and Robert E. Lynch",
title = "Numerical Solution of Elliptic Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xi + 319",
year = "1984",
ISBN = "0-89871-197-5",
ISBN-13 = "978-0-89871-197-4",
bibdate = "Mon Mar 6 21:35:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Has a few pages on roundoff - quite good, though
elementary, treatment (four index entries). Worth
buying this book!",
}
@Book{Birkhoff:1977:SMA,
author = "Garrett Birkhoff and Saunders Mac Lane",
title = "A Survey of Modern Algebra",
publisher = pub-MACMILLAN,
address = pub-MACMILLAN:adr,
edition = "Fourth",
pages = "xi + 500",
year = "1977",
ISBN = "0-02-310070-2",
ISBN-13 = "978-0-02-310070-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@PhdThesis{Bischof:1988:QFA,
author = "C. H. Bischof",
title = "{QR} Factorization Algorithms for Course-grained
Distributed Systems",
type = "Ph.D. Thesis",
school = inst-CORNELL,
address = inst-CORNELL:adr,
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bischof:1988:AB,
author = "C. H. Bischof",
title = "Adaptive blocking",
institution = "Preprint MCS-P39-1288, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Dec",
}
@Article{Bischof:1989:CSV,
author = "C. H. Bischof",
title = "Computing the singular value decomposition on a
distributed system of vector processors",
journal = j-PARALLEL-COMPUTING,
volume = "11",
pages = "171--186",
year = "1989",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
mynote = "Cornell, TR 87-869, Sep",
}
@TechReport{Bischof:1989:BQF,
author = "C. H. Bischof",
title = "A block {QR} factorization algorithm using restricted
pivoting",
institution = "Preprint MCS-P94-0789, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@Article{Bischof:1990:ICEa,
author = "Christian H. Bischof",
title = "Incremental Condition Estimation",
journal = j-SIMAX,
volume = "11",
number = "2",
pages = "312--322",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Preprint MCS-P15-1088, Revision 1, MCS, Argonne",
}
@TechReport{Bischof:1990:FLA,
author = "C. H. Bischof",
title = "Fundamental linear algebra computations on
high-performance computers",
institution = "Preprint MCS-P150-0490, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Aug",
}
@Article{Bischof:1991:PQF,
author = "C. H. Bischof",
title = "A parallel {QR} factorization algorithm with
controlled local pivoting",
journal = j-SISSC,
volume = "21",
pages = "36--57",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bischof:1991:SPR,
author = "C. H. Bischof and P. C. Hansen",
title = "Structure-preserving and Rank-revealing
{QR}-factorizations",
journal = j-SISSC,
volume = "12",
pages = "1332--1350",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Sept. 89, Preprint MCS-P100-0989, MCS, Argonne",
}
@Article{Bischof:1987:WRP,
author = "Christian H. Bischof and Charles F. {Van Loan}",
title = "The {WY} Representation for Products of {Householder}
Matrices",
journal = j-SISSC,
volume = "8",
number = "1",
pages = "s2--s13",
year = "1987",
bibdate = "Sat Nov 5 15:20:47 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Cornell TR 85-681, December 1985.",
}
@Article{Bischof:1990:ICEb,
author = "Christian H. Bischof and John G. Lewis and Daniel J.
Pierce",
title = "Incremental Condition Estimation for Sparse Matrices",
journal = j-SIMAX,
volume = "11",
number = "4",
pages = "644--659",
year = "1990",
bibdate = "Fri Feb 24 20:40:15 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Argonne MCS-P106-0989, Sept 1989.",
}
@InProceedings{Bischof:1989:PDL,
author = "C. H. Bischof and J. J. Dongarra",
title = "A project for developing a linear algebra library for
high-performance computers",
crossref = "Carey:1989:PSM",
pages = "45--56",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Preprint MCS-P105-0989, Mathematics and Computer, Sept
89",
}
@InProceedings{Bischof:1986:CSV,
author = "C. H. Bischof and C. F. {Van Loan}",
title = "Computing the singular value decomposition on a ring
of array processors",
crossref = "Cullum:1986:LSE",
pages = "51--66",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bischof:1988:GJH,
author = "C. H. Bischof and J. W. Demmel and J. J. Dongarra and
J. J. Du Croz",
title = "{A. Greenbaum, S. J. Hammarling, D. C. Sorensen,
Provisional contents}",
institution = "LAPACK Working Note \#5, Report ANL-88-38, Mathematics
and Computer Science Division, Argonne National
Laboratory, Illinois",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bischof:1990:ABS,
author = "C. H. Bischof and P. G. Lacroute",
title = "An adaptive blocking strategy for matrix
factorizations",
institution = "Preprint MCS-P151-0490, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "May",
}
@TechReport{Bischof:1989:USS,
author = "C. H. Bischof and G. M. Shroff",
title = "On updating signal subspaces",
institution = "Preprint MCS-P101-0989, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Sept",
}
@TechReport{Bischof:1990:SCD,
author = "C. H. Bischof and C.-T. Pan and P. T. P. Tang",
title = "Stable {Cholesky} up- and downdating algorithms for
systolic and {SIMD} architectures",
institution = "Preprint MCS-P167-0790, Mathematics and Computer
Science Division, Argonne National Laboratory",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Sept",
}
@TechReport{Bischof:1992:DCM,
author = "Christian H. Bischof and Xiaobai Sun",
title = "A Divide-and-Conquer Method for Tridiagonalizing
Symmetric Matrices with Repeated Eigenvalues",
type = "Preprint",
number = "MCS-P286-0192",
institution = inst-MCS-Argonne,
address = inst-MCS-Argonne:adr,
pages = "????",
month = mar,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Sun:1995:BKR,
author = "Xiaobai Sun and Christian H. Bischof",
title = "A Basis-Kernel Representation of Orthogonal Matrices",
journal = j-SIMAX,
volume = "16",
number = "4",
pages = "1184--1196",
year = "1995",
bibdate = "Mon Nov 13 09:11:03 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1967:IRLa,
author = "{\AA}ke Bj{\"o}rck",
title = "Iterative Refinement of Linear Least Squares Solutions
{I}",
journal = j-BIT,
volume = "7",
pages = "257--278",
year = "1967",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjoerck:1967:SLL,
author = "{\AA}ke Bj{\"o}rck",
title = "Solving Linear Least Squares Problems by
{Gram--Schmidt} Orthogonalization",
journal = j-BIT,
volume = "7",
pages = "1--21",
year = "1967",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjoerck:1968:IRL,
author = "{\AA}ke Bj{\"o}rck",
title = "Iterative Refinement of Linear Least Squares Solutions
{II}",
journal = j-BIT,
volume = "8",
pages = "8--30",
year = "1968",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjoerck:1978:CIR,
author = "{\AA}ke Bj{\"o}rck",
title = "Comment on the Iterative Refinement of Least-Squares
Solutions",
journal = j-J-AMER-STAT-ASSOC,
volume = "73",
number = "361",
pages = "161--166",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1987:SAM,
author = "{\AA}ke Bj{\"o}rck",
title = "Stability Analysis of the Method of Seminormal
Equations for Linear Least Squares Problems",
journal = j-LAA,
volume = "88/89",
pages = "31--48",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Link{\"{o}}ping LiTH-MAT-R-1985-08, July.",
}
@Unpublished{Bjoerck:1988:CBE,
author = "{\AA}. Bj{\"o}rck",
title = "Componentwise backward errors and condition estimates
for linear least squares problems",
institution = "Manuscript, (10 March 1988)",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bjoerck:1990:LSM,
author = "{\AA}ke Bj{\"o}rck",
editor = "P. G. Ciarlet and J. L. Lions",
booktitle = "Handbook of Numerical Analysis",
title = "Least Squares Methods",
volume = "I: Finite Difference Methods---Solution of Equations
in {$R^n$}",
publisher = pub-ELSNH,
address = pub-ELS:adr,
pages = "??--??",
year = "1990",
bibdate = "Thu Sep 14 11:57:22 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Ciarlet:1990:HNA",
}
@InProceedings{Bjoerck:1990:IRR,
author = "{\AA}ke Bj{\"o}rck",
editor = "M. G. Cox and S. J. Hammarling",
booktitle = "Reliable Numerical Computation",
title = "Iterative Refinement and Reliable Computing",
publisher = pub-OXFORD,
pages = "249--266",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cox:1990:RNC",
}
@InProceedings{Bjoerck:1991:EAL,
author = "{\AA}ke Bj{\"o}rck",
editor = "G. H. Golub and P. M. {Van Dooren}",
booktitle = "Numerical Linear Algebra, Digital Signal Processing
and Parallel Algorithms",
title = "Error Analysis of Least Squares Algorithms",
volume = "F70",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "41--73",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "NATO ASI Series",
mynote = "Leuven 1988. Also LiTH-MAT-R-1988-22. March 1988.",
}
@Article{Bjoerck:1991:CWP,
author = "{\AA}ke Bj{\"o}rck",
title = "Component-Wise Perturbation Analysis and Error Bounds
for Linear Least Squares Solutions",
journal = j-BIT,
volume = "31",
pages = "238--244",
year = "1991",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
mynote = "Updated version of \cite{Bjoerck:1988:CBE}.",
}
@TechReport{Bjoerck:1991:LSM,
author = "{\AA}ke Bj{\"o}rck",
title = "Least Squares Methods",
type = "Technical Report",
institution = "Department of Mathematics, Link{\"o}ping University",
address = "Sweden",
pages = "????",
month = may,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "May 23, 1991, Update of book chapter.",
}
@InProceedings{Bjoerck:1992:PSA,
author = "{\AA}ke Bj{\"o}rck",
editor = "D. F. Griffiths and G. A. Watson",
booktitle = "Numerical Analysis 1991, Proceedings of the 14th
Dundee Conference",
title = "Pivoting and Stability in the Augmented System
Method",
volume = "260",
publisher = pub-LONGMAN-ST,
address = pub-LONGMAN-ST:adr,
pages = "1--16",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Pitman Research Notes in Mathematics",
mynote = "Report LiTH-MAT-R-1991-30, Department of Mathematics,
{Link\"oping} University, Sweden",
}
@Article{Bjoerck:1994:NGS,
author = "{\AA}ke Bj{\"o}rck",
title = "Numerics of {Gram--Schmidt} Orthogonalization",
journal = j-LAA,
volume = "197/198",
pages = "297--316",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bjoerck:1996:NML,
author = "{\AA}ke Bj{\"o}rck",
title = "Numerical Methods for Least Squares Problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1996",
ISBN = "0-89871-360-9",
ISBN-13 = "978-0-89871-360-2",
bibdate = "Mon Oct 2 14:40:24 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "In Press",
}
@Article{Bjoerck:1971:IAC,
author = "{\AA}. Bj{\"o}rck and C. Bowie",
title = "An Iterative Algorithm for Computing the Best Estimate
of an Orthogonal Matrix",
journal = j-SINUM,
volume = "8",
number = "2",
pages = "358--364",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1973:ACV,
author = "{\AA}ke Bj{\"o}rck and Tommy Elfving",
title = "Algorithms for Confluent {Vandermonde} Systems",
journal = j-NUM-MATH,
volume = "21",
pages = "130--137",
year = "1973",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Bjoerck:1967:IRLb,
author = "{\AA}ke Bj{\"o}rck and Gene H. Golub",
title = "Iterative Refinement of Linear Least Squares Solutions
by {Householder} Transformation",
journal = j-BIT,
volume = "7",
pages = "322--337",
year = "1967",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjoerck:1973:NMC,
author = "{\AA}ke Bj{\"o}rck and Gene H. Golub",
title = "Numerical Methods for Computing Angles Between Linear
Subspaces",
journal = j-MATH-COMP,
volume = "27",
number = "123",
pages = "579--594",
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1977:EMA,
author = "{\AA}ke Bj{\"o}rck and Gene H. Golub",
title = "Eigenproblems for Matrices Associated with Periodic
Boundary Conditions",
journal = j-SIREV,
volume = "19",
number = "1",
pages = "5--16",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1983:SMS,
author = "{\AA}ke Bj{\"o}rck and Sven Hammarling",
title = "A {Schur} Method for the Square Root of a Matrix",
journal = j-LAA,
volume = "52/53",
pages = "127--140",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bjoerck:1992:ADL,
author = "{\AA}ke Bj{\"o}rck and H. Park and L. Eld{\'e}n",
title = "Accurate Downdating of Least Squares Solutions",
type = "IMA Preprint Series",
number = "\# 947",
institution = inst-IMA,
address = inst-IMA:adr,
pages = "????",
month = apr,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1992:LRO,
author = "{\AA}ke Bj{\"o}rck and C. C. Paige",
title = "Loss and Recapture of Orthogonality in the Modified
{Gram--Schmidt} Algorithm",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "176--190",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerck:1994:SAL,
author = "{\AA}ke Bj{\"o}rck and C. C. Paige",
title = "Solution of Augmented Linear Systems Using Orthogonal
Factorizations",
journal = j-BIT,
volume = "34",
pages = "1--24",
year = "1994",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Bjoerck:1970:SVS,
author = "{\AA}ke Bj{\"o}rck and Victor Pereyra",
title = "Solution of {Vandermonde} Systems of Equations",
journal = j-MATH-COMP,
volume = "24",
number = "112",
pages = "893--903",
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bjoerstad:1992:EMM,
author = "P. Bj{\o}rstad and F. Manne and T. S{\o}revik and M.
Vajter\v{s}ic",
title = "Efficient Matrix Multiplication on {SIMD} Computers",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "386--401",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Report No. 53, Department of Informatics, University
of Bergen, Norway, March 1991",
}
@Article{Blanch:1964:NEC,
author = "G. Blanch",
title = "Numerical Evaluation of Continued Fractions",
journal = j-SIREV,
volume = "6",
number = "4",
pages = "383--421",
year = "1964",
bibdate = "Wed Mar 8 18:50:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bleher:1985:AHA,
author = "J. H. Bleher and A. E. Roeder and S. M. Rump",
editor = "Kai Hwang",
booktitle = "Proceedings of the 7th Symposium on Computer
Arithmetic",
title = "{ACRITH}: {High}-Accuracy Arithmetic. {An} Advanced
Tool for Numerical Computation",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "318--321",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bleher:1987:SFE,
author = "J. H. Bleher and S. M. Rump and U. Kulisch and M.
Metzger and Ch. Ullrich and W. Walter",
title = "A Study of a {FORTRAN} Extension for
Engineering/Scientific Computation with Access to
{ACRITH}",
journal = j-COMPUTING,
volume = "39",
pages = "93--110",
year = "1987",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Blevins:1974:CED,
author = "M. M. Blevins and G. W. Stewart",
title = "Calculating the eigenvectors of diagonally dominant
matrices",
journal = j-ACM,
volume = "21",
pages = "261--271",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Blish:1990:GFA,
author = "S. L. Blish and J. H. Curry",
title = "On the geometry of factorization algorithms",
crossref = "Allgower:1990:CSN",
pages = "47--60",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Bliss:1992:API,
author = "B. Bliss and M.-C. Brunet and E. Gallopoulos",
editor = "E. N. Houstis and J. R. Rice and R. Vichnevetsky",
booktitle = "Expert Systems for Scientific Computing",
title = "Automatic Program Instrumentation with Applications in
Performance and Error Analysis",
publisher = pub-NH,
address = pub-NH:adr,
pages = "235--260",
year = "1992",
bibdate = "Mon Mar 20 15:32:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Bloch:1948:MC,
author = "Richard M. Bloch",
title = "{Mark I} Calculator",
crossref = "Anonymous:1948:PSL",
pages = "23--30",
year = "1948",
bibdate = "Sun Oct 30 22:23:36 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "",
mynote = "Page 27, re. Harvard Mark I: `A tape has been coded to
solve ten simultaneous linear equations in ten
unknowns. This tape takes roughly forty-five minutes to
complete a solution and contains nearly five thousand
lines of coding.'",
}
@Article{Blue:1978:PFP,
author = "James L. Blue",
title = "A Portable {Fortran} Program to Find the {Euclidean}
Norm of a Vector",
journal = j-TOMS,
volume = "4",
number = "1",
pages = "15--23",
year = "1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InCollection{Boas:19xx:CDC,
author = "R. P. Boas",
booktitle = "??",
title = "Convergence, Divergence, and the Computer",
publisher = "C??",
pages = "??--??",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Boas:1979:SN,
author = "R. P. Boas",
editor = "R. Honsberger",
booktitle = "Mathematical Plums",
title = "The {Skewes} Number",
number = "4",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "??--??",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Dolciani Mathematical Expositions",
mynote = "Booktitle etc. taken second hand.",
}
@Article{Bodewig:1949:RRE,
author = "E. Bodewig",
title = "Review of ``{Rounding-Off Errors in Matrix
Processes}'' by {A. M. Turing}",
journal = j-MATH-REV,
volume = "10",
pages = "405",
year = "1949",
CODEN = "MAREAR",
ISSN = "0025-5629",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Reviews",
}
@Book{Bodewig:1956:MC,
author = "E. Bodewig",
title = "Matrix Calculus",
publisher = "North-Holland (Amsterdam) and InterScience (New
York)",
address = "????",
pages = "????",
year = "1956",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Little interest - neither old and quaint nor modern.",
}
@Article{Boggs:1974:NAC,
author = "P. T. Boggs",
title = "A new algorithm for the {Chebyshev} solution of
overdetermined linear systems",
journal = j-MATH-COMP,
volume = "28",
pages = "203--217",
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boggs:1976:SAP,
author = "P. T. Boggs and J. E. {Dennis, Jr.}",
title = "A stability analysis for perturbed nonlinear iterative
methods",
journal = j-MATH-COMP,
volume = "30",
pages = "199--215",
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bohlender:1977:FPC,
author = "Gerd Bohlender",
title = "Floating-point Computation of Functions with Maximum
Accuracy",
journal = j-IEEE-C,
volume = "C-26",
number = "7",
pages = "621--632",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bohte:1975:BRE,
author = "Z. Bohte",
title = "Bounds for Rounding Errors in the {Gaussian}
Elimination For Band Systems",
journal = j-JIMA,
volume = "16",
pages = "133--142",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Boisvert:1990:GAM,
author = "Ronald F. Boisvert",
editor = "E. N. Houstis and J. R. Rice and R. Vichnevetsky",
booktitle = "Intelligent Mathematical Software Systems",
title = "The Guide to Available Mathematical Software Advisory
System",
publisher = pub-NH,
address = pub-NH:adr,
pages = "167--177",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bojanczyk:1984:CSL,
author = "A. Boja{\'n}czyk",
title = "Complexity of solving linear systems in different
models of computation",
journal = j-SISSC,
volume = "21",
pages = "591--603",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bojanczyk:1987:NDC,
author = "A. W. Bojanczyk and R. P. Brent and P. {Van Dooren} and
F. R. de Hoog",
title = "A note on downdating the {Cholesky} factorization",
journal = j-SISSC,
volume = "8",
pages = "210--221",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Bojanczyk:1991:SBA,
author = "A. W. Bojanczyk and R. P. Brent and F. R. de Hoog",
title = "On stability of {Bareiss} algorithm",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "via Jim Varah",
}
@Article{Bojanczyk:1995:SBR,
author = "A. W. Bojanczyk and R. P. Brent and F. R. de Hoog and
D. R. Sweet",
title = "On the Stability of the {Bareiss} and Related
{Toeplitz} Factorization Algorithms",
journal = j-SIMAX,
volume = "16",
number = "1",
pages = "40--57",
year = "1995",
bibdate = "Sat Mar 4 13:28:02 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bojanczyk:1991:CEA,
author = "Adam W. Bojanczyk and Adam Lutoborski",
title = "Computation of the {Euler} Angles of a Symmetric $3
\times 3$ Matrix",
journal = j-SIMAX,
volume = "12",
number = "1",
pages = "41--48",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boley:1985:PRL,
author = "D. Boley",
title = "A Perturbation Result for Linear Control Problems",
journal = j-SIAD,
volume = "6",
number = "1",
pages = "66--72",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boley:1987:SMI,
author = "D. Boley and G. H. Golub",
title = "A survey of matrix inverse eigenvalue problems",
journal = j-INVERSE-PROBLEMS,
volume = "3",
pages = "595--622",
year = "1987",
CODEN = "INPEEY",
ISSN = "0266-5611 (print), 1361-6420 (electronic)",
ISSN-L = "0266-5611",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Inverse Problems",
journal-URL = "http://iopscience.iop.org/0266-5611/",
}
@Article{Boley:1994:FPF,
author = "Daniel Boley and Gene H. Golub and Samy Makar and
Nirmal Saxena and Edward J. McCluskey",
title = "Floating Point Fault Tolerance with Backward Error
Assertions",
journal = j-IEEE-C,
volume = "44",
number = "2",
pages = "302--311",
year = "1994",
bibdate = "Fri Apr 7 15:18:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bollen:1984:NSD,
author = "Jo A. M. Bollen",
title = "Numerical Stability of Descent Methods for Solving
Linear Equations",
journal = j-NUM-MATH,
volume = "43",
pages = "361--377",
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@TechReport{Boman:1993:EKC,
author = "Erik Boman",
title = "Experiences on the {KSR1} Computer",
type = "NAS Systems Division Technical Report",
number = "RNR-93-008",
institution = inst-NASA-Ames,
address = inst-NASA-Ames:adr,
pages = "????",
month = apr,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bondeli:1994:CRS,
author = "S. Bondeli and W. Gander",
title = "Cyclic Reduction for Special Tridiagonal Systems",
journal = j-SIMAX,
volume = "15",
number = "1",
pages = "321--330",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bondi:1991:NAM,
editor = "Christine Bondi",
title = "New Applications of Mathematics",
publisher = pub-PENGUIN,
address = pub-PENGUIN:adr-L,
pages = "x + 289",
year = "1991",
ISBN = "0-14-012491-8",
ISBN-13 = "978-0-14-012491-0",
bibdate = "Mon Sep 18 17:43:37 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Booth:1949:PPC,
author = "Andrew D. Booth and Kathleen H. V. Britten",
title = "Principles and Progress in the Construction of
High-Speed Digital Computers",
journal = j-QJMAM,
volume = "2",
pages = "182--197",
year = "1949",
bibdate = "Sat Nov 19 13:06:11 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Borodin:1975:CCA,
author = "A. Borodin and I. Munro",
title = "The Computational Complexity of Algebraic and Numeric
Problems",
publisher = "American Elsevier",
address = "New York",
pages = "????",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Theory of Computation Series",
}
@Unpublished{Boros:1994:FAS,
author = "T. Boros and T. Kailath and V. Olshevsky",
title = "Fast Algorithms for Solving {Vandermonde} and
{Chebyshev--Vandermonde} Systems",
address = "????",
pages = "22",
year = "1994",
bibdate = "Sun Feb 26 11:49:59 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Borwein:1989:RME,
author = "J. M. Borwein and P. B. Borwein and D. H. Bailey",
title = "Ramanujan, Modular Equations, and Approximations to
{Pi} or How to Compute One Billion Digits of {Pi}",
journal = j-AMM,
volume = "96",
number = "3",
pages = "201--219",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Winner of 1992 Chauvenet Prize.",
}
@Article{Borwein:1984:AGM,
author = "J. M. Borwein and P. B. Borwein",
title = "The Arithmetic-Geometric Mean and Fast Computation of
Elementary Functions",
journal = j-SIREV,
volume = "26",
number = "3",
pages = "351--366",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Borwein:1987:PAA,
author = "Jonathan M. Borwein and Peter B. Borwein",
title = "Pi and the {AGM}: {A} Study in Analytic Number Theory
and Computational Complexity",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1987",
ISBN = "0-471-83138-7",
ISBN-13 = "978-0-471-83138-9",
bibdate = "Tue Nov 22 12:41:49 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Found this in an old file. Not sure where I got this -
maybe Dundee.",
}
@Article{Bouldin:1973:PA,
author = "R. Bouldin",
title = "Positive approximants",
journal = j-TRANS-AMS,
volume = "177",
pages = "391--403",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bouldin:1973:OUP,
author = "R. Bouldin",
title = "Operators with a unique positive near-approximant",
journal = j-INDIANA-U-MATH,
volume = "23",
pages = "421--427",
year = "1973",
CODEN = "IUMJAB",
ISSN = "0022-2518",
ISSN-L = "0022-2518",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Indiana University mathematics journal",
journal-URL = "http://www.iumj.indiana.edu/",
}
@Article{Box:1965:NMC,
author = "M. J. Box",
title = "A New Method of Constrained Optimization and a
Comparison with Other Methods",
journal = j-COMP-J,
volume = "8",
pages = "42--52",
year = "1965",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 30 15:55:11 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Box:1966:CSC,
author = "M. J. Box",
title = "A Comparison of Several Current Optimization Methods,
and the Use of Transformations in Constrained
Problems",
journal = j-COMP-J,
volume = "9",
pages = "67--77",
year = "1966",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 30 15:55:37 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@InCollection{Bowden:1953:OTM,
author = "B. V. Bowden",
editor = "B. V. Bowden",
booktitle = "Faster than Thought: {A} Symposium on Digital
Computing Machines",
title = "The Organization of a Typical Machine",
publisher = pub-PITMAN,
address = pub-PITMAN:adr,
pages = "67--77",
year = "1953",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bowdler:1966:SRC,
author = "H. J. Bowdler and R. S. Martin and G. Peters and J. H.
Wilkinson",
title = "Solution of Real and Complex Systems of Linear
Equations",
journal = j-NUM-MATH,
volume = "8",
pages = "217--234",
year = "1966",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Also in \cite[pp.~93--110]{Wilkinson:1971:LA},
Contribution I/7",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Book{Boyce:1986:EDE,
author = "William E. Boyce and Richard C. DiPrima",
title = "Elementary Differential Equations and Boundary Value
Problems",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Fourth",
pages = "????",
year = "1986",
ISBN = "0-471-83824-1",
ISBN-13 = "978-0-471-83824-1",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boyd:1974:PMN,
author = "David W. Boyd",
title = "The Power Method for {$\ell^p$} Norms",
journal = j-LAA,
volume = "9",
pages = "95--101",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boyd:1989:BMC,
author = "S. Boyd and V. Balakrishan and P. Kabamba",
title = "A bisection method for computing the {${\rm
H}_{\infty}$} norm of a transfer matrix and related
problems",
journal = j-MATH-CTRL-SIG-SYS,
volume = "2",
pages = "207--219",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Boyd:1994:LMI,
author = "Stephen Boyd and Laurent El Ghaoui and Eric Feron and
Venkataramanan Balakrishnan",
title = "Linear Matrix Inequalities in System and Control
Theory",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "ix + 193",
year = "1994",
ISBN = "0-89871-334-X",
ISBN-13 = "978-0-89871-334-3",
bibdate = "Sat Oct 8 16:18:07 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "This book obtained from IMA for review. Too
specialized for Bulletin, though. I don't like it.
Unattractive layout (LaTeX) and I can't get into it. No
proper development of material somehow. Sections on
minimizing condition number by scaling, and matrix
completion, are disappointing. They just phrase the
problems in their inequality problem terms.",
}
@Article{Boyle:1994:AFS,
author = "Jeff Boyle",
title = "An Application of {Fourier} Series to the Most
Significant Digit Problem",
journal = j-AMM,
volume = "101",
number = "11",
pages = "879--886",
year = "1994",
bibdate = "Sat Mar 4 14:22:36 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Boyle:1985:MFP,
author = "J. P. Boyle and R. L. Dykstra",
booktitle = "Advances in Order Restricted Inference",
title = "A Method for Finding Projections Onto the Intersection
of Convex Sets in {Hilbert} Spaces",
volume = "37",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "28--47",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Statistics",
}
@TechReport{Braconnier:1995:IOB,
author = "Thierry Braconnier",
title = "Influence of Orthogonality on the Backward Error and
the Stopping Criterion for {Krylov} Methods",
type = "Numerical Analysis Report",
number = "",
institution = inst-MCCM,
address = inst-MCCM:adr,
pages = "??",
month = "????",
year = "1995",
bibdate = "Wed Sep 20 20:59:32 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "In preparation",
}
@Article{Braconnier:1995:HNE,
author = "Thierry Braconnier and Fran{\c{c}}oise Chatelin and J.
C. Dunyach",
title = "Highly Nonnormal Eigenproblems in the Aeronautical
Industry",
journal = j-JAPAN-J-INDUST-APPL-MATH,
volume = "12",
number = "1",
pages = "123--136",
year = "1995",
CODEN = "JAPJI7",
ISSN = "0916-7005",
bibdate = "Tue Oct 3 12:25:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Japan Journal of Industrial and Applied Mathematics",
}
@Article{Bramley:1992:RPM,
author = "R. Bramley and A. Sameh",
title = "Row Projection Methods for Large Nonsymmetric Linear
Systems",
journal = j-SISSC,
volume = "13",
number = "1",
pages = "168--193",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Brankin:1990:CAB,
author = "R. W. Brankin and I. Gladwell",
title = "Codes for Almost Block Diagonal Systems",
journal = j-INT-J-COMP-MATH-APPL,
volume = "19",
pages = "1--6",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International J. Computer and Mathematics with Applications",
mynote = "Also NAG Tech. Report TR1/89, Feb 89",
}
@TechReport{Brankin:1987:CRS,
author = "R. W. Brankin and I. Gladwell and L. F. Shampine",
title = "Codes for reliable solution of special event location
problems for {ODEs}",
type = "Numerical Analysis Report",
number = "No. 139",
institution = inst-U-Manchester,
address = inst-U-Manchester:adr,
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Dec 87, see also NA 138 same title but minus 'Codes
for'",
}
@Book{Brassard:1988:ATP,
author = "Gilles Brassard and Paul Bratley",
title = "Algorithmics: {Theory} and Practice",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xvi + 361",
year = "1988",
ISBN = "0-13-023243-2",
ISBN-13 = "978-0-13-023243-4",
bibdate = "Mon Oct 24 10:11:03 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Brawer:1992:LAP,
author = "Robert Brawer and Magnus Pirovino",
title = "The Linear Algebra of the {Pascal} Matrix",
journal = j-LAA,
volume = "174",
pages = "13--23",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Brent:1970:EAA,
author = "R. P. Brent",
title = "Error Analysis of Algorithms for Matrix Multiplication
and Triangular Decomposition Using {Winograd}'s
Identity",
journal = j-NUM-MATH,
volume = "16",
pages = "145--156",
year = "1970",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@TechReport{Brent:1970:AMM,
author = "R. P. Brent",
title = "Algorithms for Matrix Multiplication",
type = "Technical Report",
number = "CS 157",
institution = inst-CS-U-STANFORD,
address = inst-U-STANFORD:adr,
pages = "ii + 52",
month = mar,
year = "1970",
bibdate = "Thu Sep 14 12:03:59 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Brent:1973:AMD,
author = "R. P. Brent",
title = "Algorithms for Minimization Without Derivatives",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Good stuff! Lots of clever maths.",
}
@Article{Brent:1973:PAV,
author = "Richard P. Brent",
title = "On the Precision Attainable with Various
Floating-Point Number Systems",
journal = j-IEEE-C,
volume = "C-22",
number = "6",
pages = "601--607",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Brent:1974:PEG,
author = "Richard P. Brent",
title = "The Parallel Evaluation of General Arithmetic
Expressions",
journal = j-ACM,
volume = "21",
number = "2",
pages = "201--206",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Brent:1976:MPZ,
author = "Richard P. Brent",
editor = "J. F. Traub",
booktitle = "Analytic Computational Complexity",
title = "Multiple-Precision Zero-Finding Methods and the
Complexity of Elementary Function Evaluation",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "151--176",
year = "1976",
ISBN = "0-12-697560-4",
ISBN-13 = "978-0-12-697560-4",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "In Res. Lib. References Karatsuba and Ofman (1962) for
basis of 3M trick.",
}
@Article{Brent:19xx:FMP,
author = "Richard P. Brent",
title = "A {Fortran} Multiple-Precision Arithmetic Package",
journal = j-TOMS,
volume = "4",
number = "1",
pages = "57--70",
year = "{\noopsort{a}}1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Brent:19xx:AMF,
author = "Richard P. Brent",
title = "{ALGORITHM 524}: {MP}, {A Fortran} Multiple-Precision
Arithmetic Package",
journal = j-TOMS,
volume = "4",
number = "1",
pages = "71--81",
year = "{\noopsort{b}}1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InProceedings{Brent:1991:PAT,
author = "Richard P. Brent",
editor = "G. H. Golub and P. M. {Van Dooren}",
booktitle = "Numerical Linear Algebra, Digital Signal Processing
and Parallel Algorithms",
title = "Parallel Algorithm for {Toeplitz} Systems",
volume = "F70",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "75--92",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "NATO ASI Series",
}
@Article{Brent:1980:AIB,
author = "Richard P. Brent and Judith A. Hooper and J. Michael
Yohe",
title = "An {AUGMENT} Interface for {Brent}'s Multiple
Precision Arithmetic Package",
journal = j-TOMS,
volume = "6",
number = "2",
pages = "146--149",
year = "1980",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Brent:1985:CSV,
author = "Richard P. Brent and Franklin T. Luk and Charles F.
{Van Loan}",
title = "Computation of the Singular Value Decomposition Using
Mesh-Connected Processors",
journal = j-J-VLSI-COMP-SYS,
volume = "1",
pages = "242--270",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Cornell TR 82-528, Department of Computer Science,
March 1983",
}
@Book{Breuer:1993:NML,
author = "Shlomo Breuer and Gideon Zwas",
title = "Numerical Mathematics---{A} Laboratory Approach",
publisher = pub-CUP,
address = "????",
pages = "xiii + 267",
year = "1993",
ISBN = "0-521-44040-8",
ISBN-13 = "978-0-521-44040-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Nothing of interest. Virtually nothing in roundoff.",
}
@Article{Brewer:1988:TAA,
author = "O. Brewer and J. J. Dongarra and J. J. Du Croz and D.
C. Sorensen",
title = "Tools to aid in the analysis of memory access patterns
for {Fortran} programs",
journal = j-PARALLEL-COMPUTING,
volume = "9",
pages = "25--35",
year = "1988",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
mynote = "LAPACK Working Note \#6, Technical Memorandum 120,
1988",
}
@Article{Briggs:1991:PCF,
author = "K. Briggs",
title = "A precise calculation of the {Feigenbaum} constants",
journal = j-MATH-COMP,
volume = "57",
pages = "435--439",
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Briggs:1987:MT,
author = "W. L. Briggs",
title = "A Multigrid Tutorial",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Briggs:1995:DOM,
author = "William L. Briggs and Van Emden Henson",
title = "The {DFT}: {An} Owner's Manual for the Discrete
{Fourier} Transform",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "xv + 434",
year = "1995",
ISBN = "0-89871-342-0",
ISBN-13 = "978-0-89871-342-8",
bibdate = "Sat Apr 15 11:36:08 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Britton:1992:CWM,
editor = "J. L. Britton",
title = "Collected Works of {A. M. Turing}: {Pure}
Mathematics",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xxii + 287",
year = "1992",
ISBN = "0-444-88059-3",
ISBN-13 = "978-0-444-88059-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Brock:1968:OMD,
author = "John E. Brock",
title = "Optimal Matrices Describing Linear Systems",
journal = j-AIAA-J,
volume = "6",
number = "7",
pages = "1292--1296",
year = "1968",
CODEN = "AIAJAH",
ISSN = "0001-1452",
ISSN-L = "0001-1452",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "American Institute of Aeronautics and Astronautics Journal",
}
@TechReport{Brocklehurst:1991:SB,
author = "E. R. Brocklehurst",
title = "Survey of Benchmarks",
type = "NPL Report",
number = "DITC 192/91",
institution = inst-NPL,
address = inst-NPL:adr,
pages = "????",
month = nov,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bronlund:1974:FPM,
author = "O. E. Br{\o}nlund and T. L. Johnsen",
title = "{$QR$}-factorization of partitioned matrices",
journal = j-COMP-METH-APPL-MECH-ENG,
volume = "3",
pages = "153--172",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
journal-URL = "http://www.sciencedirect.com/science/journal/00457825",
}
@InProceedings{Bronstein:1991:CAI,
author = "Manuel Bronstein",
editor = "Kenneth R. Meyer and Dieter S. Schmidt",
booktitle = "Computer Aided Proofs in Analysis",
title = "Computer Algebra and Indefinite Integrals",
volume = "28",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-NY,
pages = "33--42",
year = "1991",
bibdate = "Tue Mar 21 10:22:58 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "IMA Volumes in Mathematics and its Applications",
}
@Proceedings{Brown:1994:PCL,
editor = "J. David Brown and Moody T. Chu and Donald C. Ellison
and Robert J. Plemmons",
booktitle = "{Proceedings of the Cornelius Lanczos International
Centenary Conference, Raleigh, North Carolina, December
12--17, 1993}",
title = "{Proceedings of the Cornelius Lanczos International
Centenary Conference, Raleigh, North Carolina, December
12--17, 1993}",
volume = "73",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "lxv + 644",
year = "1994",
ISBN = "0-89871-339-0",
ISBN-13 = "978-0-89871-339-8",
LCCN = "QC19.2 .C67 1993",
bibdate = "Wed Jun 8 14:42:43 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/heisenberg-werner.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stewart-gilbert-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
http://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/einstein.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Proceedings in Applied Mathematics",
acknowledgement = ack-nhfb,
meetingname = "Cornelius Lanczos International Centenary Conference
(1993:Raleigh, NC)",
subject = "Mathematical physics; Congresses; Astrophysics;
Mathematics; Lanczos, Cornelius; Physicists; Hungary;
Biography; Mathematicians",
subject-dates = "1893--1974",
tableofcontents = "The Life and Works of Cornelius Lanczos \\
\\
A Photographic Essay / / xvii \\
Cornelius Lanczos: A Biographical Essay / Barbara
Gellai / xxi \\
Cornelius Lanczos (1893-1974), and the Hungarian
Phenomenon in Science and Mathematics / Peter D. Lax /
xlix \\
The Roots of Cornelius Lanczos / George Marx / liii \\
Reminiscences of Cornelius Lanczos / Jon Todd / lviii
\\
Published Papers and Books of Cornelius Lanczos / / lx
\\
\\
Plenary Presentations: Computational Mathematics \\
\\
Lanczos and the FFT: A Discovery Before its Time /
James W. Cooley / 3 \\
Lanczos Algorithms for Large Scale Symmetric and
Nonsymmetric Matrix Eigenvalue Problems / Jane K.
Cullum / 11 \\
The Look-Ahead Lanczos Process for Nonsymmetric
Matrices and its Applications / Roland W Freund / 33
\\
The Lanczos and Conjugate Gradient Algorithms in Finite
Precision Arithmetic / Anne Greenbaum / 49 \\
The Lanczos Process and Pade Approximation / Martin H.
Gutknecht / 61 \\
The Tau Method and the Numerical Solution of
Differential Equations: Past Research and Recent
Research / Eduardo L. Ortiz / 77 \\
Krylov Subspace Processes, Krylov Subspace Methods, and
Iteration Polynomials / C. C. Paige / 83 \\
Do We Fully Understand the Symmetric Lanczos Algorithm
Yet? / Beresford N. Parlett / 93 \\
On Generalized Band Matrices and Their Inverses /
P{\'a}l R{\'o}sa, Francesco Romani, and Roberto
Bevilacqua / 109 \\
Theoretical Error Bounds and General Analysis of a Few
Lanczos-Type Algorithms / Youcef Saad / 123 \\
Lanczos and Linear Systems / G. W. Stewart / 135 \\
\\
Plenary Presentations: Theoretical Physics and
Astrophysics \\
\\
Integration on the Space of Connections Modulo Gauge
Transformations / Abbay Ashtekar, Donald Marolf, and
Jose Mourdo / 143 \\
Quasiclassical Domains in a Quantum Universe / James B.
Hartle / 161 \\
Gauge Invariant Energy-Momentum Tensor in Spinar
Electrodynamics / D. Petiot and Y. Takahashi / 173 \\
$\gamma$-Ray Bursts and Neutron Star Mergers / Tsvi
Piran / 187 \\
Lanczos's Early Contributions to Relativity and His
Relationship with Einstein / John Stachel / 201 \\
Topological Roots of Black Hole Entropy / Claudio
Teitelboim / 223 \\
Variational Principles, Local Symmetries, and Black
Hole Entropy / Robert M. Wald / 231 \\
\\
Mathematics Minisymposia \\
\\
Eigenvalue Computations: Theory and Algorithms / / 241
\\
Eigenvalue Computations: Applications / / 249 \\
Moments in Numerical Analysis / / 265 \\
Iterative Methods for Linear Systems / / 277 \\
Least Squares / / 301 \\
Software for Lanczos-based Algorithms / / 311 \\
Tau Method / / 335 \\
Chebyshev Polynomials / / 357 \\
Lanczos Methods in Control and Signal Processing / /
375 \\
Development of the FFT / / 393 \\
The FFT in Signal Processing / / 399 \\
Wavelets / / 411 \\
\\
Physics Minisymposia \\
\\
Computational Magnetohydrodynamics in Astrophysics / /
431 \\
Numerical Simulations of Collisionless Space Plasmas /
/ 453 \\
Detection of Gravitational Radiation from Astrophysical
Sources / / 477 \\
Lanczos $H$-tensor / / 489 \\
Cosmic Censorship / / 513 \\
Cauchy Problem of General Relativity / / 527 \\
Black Hole Evaporation and Thermodynamics / / 543 \\
The Problem of Time in Quantum Gravity / / 555 \\
New Variables and Loop Quantization / / 571 \\
Decoherence and the Foundations of Quantum Mechanics /
/ 589 \\
Open Questions in Particle Theory / / 603 \\
Supercollider Physics / / 621 \\
Symplectic Methods in Physics / / 633",
}
@Article{Brown:1991:TCA,
author = "Peter N. Brown",
title = "A Theoretical Comparison of the {Arnoldi} and {GMRES}
Algorithms",
journal = j-SISSC,
volume = "12",
number = "1",
pages = "58--78",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Brown:1990:SAM,
author = "P. J. Brown and W. A. Fuller",
booktitle = "Statistical Analysis of Measurement Error Models and
Applications",
title = "Statistical Analysis of Measurement Error Models and
Applications",
volume = "112",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Contemporary Mathematics",
mynote = "Proceedings of the AMS-IMS-SIAM Joint Summer Research
Conference",
}
@Article{Brown:1981:SRM,
author = "W. S. Brown",
title = "A Simple but Realistic Model of Floating-Point
Arithmetic",
journal = j-TOMS,
volume = "7",
number = "4",
pages = "445--480",
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Brown:1969:CB,
author = "W. S. Brown and P. L. Richman",
title = "The Choice of Base",
journal = j-CACM,
volume = "12",
number = "10",
pages = "560--561",
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Browne:1967:OPR,
author = "Michael W. Browne",
title = "On Oblique {Procrustes} Rotation",
journal = j-PSYCHOMETRIKA,
volume = "32",
number = "2",
pages = "125--132",
year = "1967",
CODEN = "PSMIA3",
ISSN = "0033-3123 (print), 1860-0980 (electronic)",
ISSN-L = "0033-3123",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Psychometrika",
}
@Article{Browne:1969:ORF,
author = "Michael Browne and Walter Kristof",
title = "On the Oblique Rotation of a Factor Matrix to a
Specified Pattern",
journal = j-PSYCHOMETRIKA,
volume = "34",
number = "2",
pages = "237--248",
year = "1969",
CODEN = "PSMIA3",
ISSN = "0033-3123 (print), 1860-0980 (electronic)",
ISSN-L = "0033-3123",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Psychometrika",
}
@Article{Browne:1972:ORP,
author = "M. W. Browne",
title = "Orthogonal Rotation to a Partially Specified Target",
journal = j-BRITISH-J-MATH-STATIST-PSYCHOL,
volume = "25",
pages = "115--120",
year = "1972",
CODEN = "BJMSAK",
ISSN = "0007-1102",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "British Journal of Mathematical and Statistical Psychology",
}
@TechReport{Browne:1994:NSR,
author = "Shirley V. Browne and Jack J. Dongarra and Stan C.
Green and Keith Moore and Thomas H. Rowan and Reed C.
Wade",
title = "Netlib Services and Resources",
type = "Report",
number = "ORNL/TM-12680",
institution = inst-ORNL,
address = inst-ORNL:adr,
pages = "42",
month = apr,
year = "1994",
bibdate = "Mon Apr 10 12:49:59 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Broyden:1973:SCN,
author = "C. G. Broyden",
title = "Some Condition-Number Bounds for the {Gaussian}
Elimination Process",
journal = j-JIMA,
volume = "12",
pages = "273--286",
year = "1973",
bibdate = "Mon Oct 2 10:28:15 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Broyden:1985:NSH,
author = "C. G. Broyden",
title = "On the Numerical Stability of {Huang}'s and Related
Methods",
journal = j-J-OPT-THEORY-APPL,
volume = "47",
number = "4",
pages = "401--412",
year = "1985",
CODEN = "JOTABN",
ISSN = "0022-3239 (print), 1573-2878 (electronic)",
ISSN-L = "0022-3239",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Optimization Theory and Applications",
journal-URL = "http://link.springer.com/journal/volumesAndIssues/10957",
}
@Book{Brualdi:1992:IC,
author = "R. A. Brualdi",
title = "Introductory Combinatorics",
publisher = pub-NH,
address = pub-NH:adr,
edition = "Second",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bruaset:1995:SPI,
author = "Are Magnus Bruaset",
title = "A Survey of Preconditioned Iterative Methods",
volume = "328",
publisher = pub-LONGMAN-ST,
address = pub-LONGMAN-ST:adr,
pages = "xii + 162",
year = "1995",
ISBN = "0-582-27654-3",
ISBN-13 = "978-0-582-27654-3",
bibdate = "Wed Nov 29 12:18:06 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Pitman Research Notes in Mathematics",
}
@Unpublished{Bruehl:1995:CTA,
author = "Martin Br{\"u}hl",
title = "A Curve Tracing Algorithm for Computing the
Pseudospectrum",
address = "????",
pages = "13",
month = oct,
year = "1995",
bibdate = "Tue Oct 24 14:13:00 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript. Submitted to BIT",
}
@PhdThesis{Brunet:1989:CFL,
author = "Marie-Christine Brunet",
title = "Contribution {\`a} la Fiabilit{\'e} de Logiciels
Num{\'e}riques et {\`a} {L}'analyse de Leur
Comportement: Une Approche Statistique",
school = "Universit\'e de Paris IX Dauphine, U.E.R.
Math\'ematiques de la D\'ecision",
address = "????",
pages = "viii + 214",
month = jan,
year = "1989",
bibdate = "Wed Oct 4 13:53:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Buchanan:1992:NMA,
author = "James L. Buchanan and Peter R. Turner",
title = "Numerical Methods and Analysis",
publisher = pub-MH,
address = pub-MH:adr,
pages = "xv + 751",
year = "1992",
ISBN = "0-07-008717-2, 0-07-112922-7 (international \pbk\
edition)",
ISBN-13 = "978-0-07-008717-0, 978-0-07-112922-0 (international
\pbk\ edition)",
bibdate = "Fri Oct 14 14:05:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Buchholz:1959:FFC,
author = "W. Buchholz",
title = "Fingers or Fists? ({The} Choice of Decimal or Binary
Representation)",
journal = j-CACM,
volume = "2",
number = "12",
pages = "3--11",
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Buckley:1977:SCS,
author = "A. Buckley",
title = "On the solution of certain skew symmetric linear
systems",
journal = j-SINUM,
volume = "14",
pages = "566--570",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Buckley:1994:CFC,
author = "A. G. Buckley",
title = "Conversion to {Fortran} 90: {A} Case Study",
journal = j-TOMS,
volume = "",
number = "",
pages = "",
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear, 1994",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Buckley:1994:AXF,
author = "A. G. Buckley",
title = "Algorithm {XXX}: {A Fortran} 90 Code for Unconstrained
Nonlinear Minimization",
journal = j-TOMS,
volume = "",
number = "",
pages = "",
year = "1994",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear, 1994",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Bukhberger:1973:MIT,
author = "B. Bukhberger and G. A. Emel'yanenko",
title = "Methods of Inverting Tridiagonal Matrices",
journal = j-USSR-COMP-MATH-MATH-PHYS,
volume = "13",
pages = "10--20",
year = "1973",
CODEN = "CMMPA9",
ISSN = "0041-5553, 0502-9902",
ISSN-L = "0041-5553",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "U.S.S.R. Computational Mathematics and Mathematical Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00415553",
}
@MastersThesis{Bull:1991:AIL,
author = "J. M. Bull",
title = "Asynchronous Iterations on Local Memory Parallel
Computers",
type = "{M.Sc. Thesis}",
school = inst-U-Manchester,
address = inst-U-Manchester:adr,
pages = "????",
month = oct,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bull:1992:NPA,
author = "J. M. Bull and T. L. Freeman",
title = "Numerical Performance of an Asynchronous {Jacobi}
Iteration",
type = "Numerical Analysis Report",
number = "No. 210",
institution = inst-U-Manchester,
address = inst-U-Manchester:adr,
pages = "????",
month = feb,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bultheel:1980:EAI,
author = "A. Bultheel",
title = "Error analysis of incoming and outgoing schemes for
the trigonometric moment problem",
institution = "Proc. of the Conference on Pad\'e Approximation and
its Applications, Lecture Notes in Mathematics 888,
Springer-Verlag, Berlin",
address = "????",
pages = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1971:ESM,
author = "James R. Bunch",
title = "Equilibration of Symmetric Matrices in the Max-Norm",
journal = j-ACM,
volume = "18",
number = "4",
pages = "566--572",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1971:ADP,
author = "James R. Bunch",
title = "Analysis of the Diagonal Pivoting Method",
journal = j-SINUM,
volume = "8",
number = "4",
pages = "656--680",
year = "1971",
bibdate = "Wed Jan 18 18:22:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1974:PPS,
author = "James R. Bunch",
title = "Partial Pivoting Strategies for Symmetric Matrices",
journal = j-SINUM,
volume = "11",
number = "3",
pages = "521--528",
year = "1974",
bibdate = "Wed Jan 25 21:19:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1982:NSD,
author = "James R. Bunch",
title = "A Note on the Stable Decomposition of Skew-Symmetric
Matrices",
journal = j-MATH-COMP,
volume = "38",
number = "158",
pages = "475--479",
year = "1982",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1985:SMS,
author = "James R. Bunch",
title = "Stability of Methods for Solving {Toeplitz} Systems of
Equations",
journal = j-SISSC,
volume = "6",
number = "2",
pages = "349--364",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1987:WSS,
author = "James R. Bunch",
title = "The Weak and Strong Stability of Algorithms in
Numerical Linear Algebra",
journal = j-LAA,
volume = "88/89",
pages = "49--66",
year = "1987",
bibdate = "Thu Apr 6 15:15:44 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Have only MS.",
}
@InProceedings{Bunch:1976:BMS,
author = "James R. Bunch",
editor = "J. R. Bunch and D. J. Rose",
booktitle = "Sparse Matrix Computations",
title = "Block Methods for Solving Sparse Linear Systems",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "39--58",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Bunch:1976:SMC",
}
@Article{Bunch:1989:SSA,
author = "James R. Bunch and James W. Demmel and Charles F. {Van
Loan}",
title = "The Strong Stability of Algorithms for Solving
Symmetric Linear Systems",
journal = j-SIMAX,
volume = "10",
number = "4",
pages = "494--499",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1974:TFI,
author = "James R. Bunch and John E. Hopcroft",
title = "Triangular Factorization and Inversion by Fast Matrix
Multiplication",
journal = j-MATH-COMP,
volume = "28",
number = "125",
pages = "231--236",
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1977:SSM,
author = "James R. Bunch and Linda Kaufman",
title = "Some Stable Methods for Calculating Inertia and
Solving Symmetric Linear Systems",
journal = j-MATH-COMP,
volume = "31",
number = "137",
pages = "163--179",
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Wed Jan 18 18:21:15 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunch:1976:DSM,
author = "James R. Bunch and Linda Kaufman and Beresford N.
Parlett",
title = "Decomposition of a Symmetric Matrix",
journal = j-NUM-MATH,
volume = "27",
pages = "95--109",
year = "1976",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Wed Jan 25 21:17:58 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Bunch:1971:DMS,
author = "James R. Bunch and Beresford N. Parlett",
title = "Direct Methods for Solving Symmetric Indefinite
Systems of Linear Equations",
journal = j-SINUM,
volume = "8",
number = "4",
pages = "639--655",
year = "1971",
bibdate = "Wed Jan 18 18:24:26 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Bunch:1976:SMC,
author = "J. R. Bunch and D. J. Rose",
booktitle = "Sparse Matrix Computations",
title = "Sparse Matrix Computations",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "????",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Bunse-Gerstner:1993:NMS,
author = "Angelika Bunse-Gerstner and Ralph Byers and Volker
Mehrmann",
title = "Numerical Methods for Simultaneous Diagonalization",
journal = j-SIMAX,
volume = "14",
number = "4",
pages = "927--949",
year = "1993",
bibdate = "Fri Mar 17 08:27:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Bunse-Gerstner:1990:NCA,
author = "A. Bunse-Gerstner and Ralph Byers and V. Mehrmann and
N. K. Nichols",
title = "Numerical computation of an analytic singular value
decomposition of a matrix valued function",
institution = "Materialien LIX, Universit{\"a}t Bielefeld, FRG",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "to appear in Numer. Math.",
}
@Article{Bunse-Gerstner:1988:SVD,
author = "Angelika Bunse-Gerstner and William B. Gragg",
title = "Singular Value Decompositions of Complex Symmetric
Matrices",
journal = j-JCAM,
volume = "21",
pages = "41--54",
year = "1988",
bibdate = "Wed Oct 12 10:47:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Bunse-Gerstner:1992:SSP,
author = "A. Bunse-Gerstner and C. He",
title = "A {Sturm} Sequence of Polynomials for Unitary
{Hessenberg} Matrices",
journal = j-SIMAX,
address = "????",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Burden:1989:NA,
author = "Richard L. Burden and J. Douglas Faires",
title = "Numerical Analysis",
publisher = "PWS-KENT",
address = "Boston",
edition = "Fourth",
pages = "????",
year = "1989",
ISBN = "0-534-91585-X",
ISBN-13 = "978-0-534-91585-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Burden:1993:NA,
author = "Richard L. Burden and J. Douglas Faires",
title = "Numerical Analysis",
publisher = "PWS",
address = "Boston",
edition = "Fifth",
pages = "xiv + 768",
year = "1993",
ISBN = "0-534-93219-3",
ISBN-13 = "978-0-534-93219-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Burrage:1990:ANI,
author = "K. Burrage",
title = "An adaptive numerical integration code for a chain of
transputers",
journal = j-PARALLEL-COMPUTING,
volume = "16",
pages = "305--312",
year = "1990",
CODEN = "PACOEJ",
ISSN = "0167-8191 (print), 1872-7336 (electronic)",
ISSN-L = "0167-8191",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Parallel Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/01678191",
}
@Article{Burrill:1974:CPS,
author = "Donald F. Burrill",
title = "Computational Precision in Statistics: {Variances} and
Covariances",
journal = j-J-STAT-COMPUT-SIMUL,
volume = "3",
number = "2",
pages = "105--115",
year = "1974",
CODEN = "JSCSAJ",
ISSN = "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
ISSN-L = "0094-9655",
bibdate = "Wed Nov 23 21:09:21 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Statistical Computation and Simulation",
journal-URL = "http://www.tandfonline.com/loi/gscs20",
}
@Article{Businger:1968:MWC,
author = "P. A. Businger",
title = "Matrices Which Can Be Optimally Scaled",
journal = j-NUM-MATH,
volume = "12",
pages = "346--348",
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Businger:1969:RMH,
author = "P. A. Businger",
title = "Reducing a matrix to {Hessenberg} form",
journal = j-MATH-COMP,
volume = "23",
pages = "819--821",
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Businger:1969:EPB,
author = "Peter A. Businger",
title = "Extremal Properties of Balanced Tri-Diagonal
Matrices",
journal = j-MATH-COMP,
volume = "23",
pages = "193--195",
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Businger:1971:MNS,
author = "P. A. Businger",
title = "Monitoring the numerical stability of {Gaussian}
elimination",
journal = j-NUM-MATH,
volume = "16",
pages = "360--361",
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Businger:1965:LLS,
author = "P. Businger and G. H. Golub",
title = "Linear Least Squares Solutions by {Householder}
Transformations",
journal = j-NUM-MATH,
volume = "7",
pages = "269--276",
year = "1965",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Also in \cite[pp.~111--118]{Wilkinson:1971:LA},
Contribution I/8",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@TechReport{Butler:1992:IMS,
author = "B. P. Butler",
title = "Interfacing {Matlab} and Software Written in Other
Languages",
type = "NPL Report",
number = "DITC 200/92",
institution = inst-NPL,
address = inst-NPL:adr,
pages = "????",
month = may,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Butler:1985:NSQ,
author = "G. J. Butler and C. R. Johnson and H. Wolkowicz",
title = "Nonegative solutions of a quadratic matrix equation
arising from comparison theorems in ordinary
differential equations",
journal = j-SIAD,
volume = "6",
pages = "47--53",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Buzbee:1992:PER,
author = "Bill Buzbee",
title = "{Poisson}'s Equation Revisited",
journal = j-CURR-CONT,
number = "36",
pages = "8",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "No. 36, Sept. 7",
mynote = "Describes \cite{Buzbee:1970:DMS}.",
}
@Article{Buzbee:1970:DMS,
author = "B. L. Buzbee and G. H. Golub and C. W. Nielson",
title = "On Direct Methods for Solving {Poisson}'s Equations",
journal = j-SINUM,
volume = "7",
number = "4",
pages = "627--656",
year = "1970",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Seen, but not copied. See \cite{Buzbee:1992:PER}.",
}
@Article{Byers:1984:LSC,
author = "Ralph Byers",
title = "A {LINPACK}-Style Condition Estimator for the Equation
{$AX-XB^T=C$}",
journal = j-IEEE-AC,
volume = "AC-29",
number = "10",
pages = "926--928",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Byers:1985:NCA,
author = "Ralph Byers",
editor = "B. N. Datta",
booktitle = "Linear Algebra and its Role in Systems Theory",
title = "Numerical Condition of the Algebraic {Riccati}
Equation",
volume = "47",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "35--49",
year = "1985",
bibdate = "Thu Sep 14 12:12:27 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Contemporary Math.",
mycrossref = "Datta:1985:LAR",
}
@InProceedings{Byers:1986:NSI,
author = "Ralph Byers",
editor = "Christopher I. Byrnes and Anders Lindquist",
booktitle = "Computational and Combinatorial Methods in Systems
Theory",
title = "Numerical stability and instability in matrix sign
function based algorithms",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "185--200",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Byrnes:1986:CCM",
}
@Article{Byers:1987:SAR,
author = "Ralph Byers",
title = "Solving the Algebraic {Riccati} Equation with the
Matrix Sign Function",
journal = j-LAA,
volume = "85",
pages = "267--279",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Byers:1988:BMM,
author = "Ralph Byers",
title = "A Bisection Method for Measuring the Distance of a
Stable matrix to the Unstable Matrices",
journal = j-SISSC,
volume = "9",
pages = "875--881",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Manuscript, June 1986.",
}
@Unpublished{Byers:1994:MSF,
author = "Ralph Byers and Chunyang He and Volker Mehrmann",
title = "The Matrix Sign Function Method and the Computation of
Invariant Subspaces",
address = "????",
pages = "????",
month = feb,
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Byers:1987:SVL,
author = "Ralph Byers and Stephen Nash",
title = "On the Singular ``Vectors'' of the {Lyapunov}
Operator",
journal = j-SIAD,
volume = "8",
number = "1",
pages = "59--66",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Byers:1987:ARP,
author = "Ralph Byers and S. G. Nash",
title = "Approaches to robust pole assignment",
institution = "Technical Report 87-101, Department of Operations
Research and Applied Statistics, George Mason
University, Virginia",
address = "????",
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Byrnes:1986:CCM,
author = "C. I. Byrnes and A. Lindquist",
booktitle = "Computational and Combinatorial Methods in Systems
Theory",
title = "Computational and Combinatorial Methods in Systems
Theory",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cadzow:1973:FAM,
author = "J. A. Cadzow",
title = "A finite algorithm for the minimum {$l_{\infty}$}
solution to a system of consistent linear equations",
journal = j-SINUM,
volume = "10",
pages = "607--617",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cadzow:1974:EAP,
author = "J. A. Cadzow",
title = "An efficient algorithmic procedure for obtaining a
minimum {$l_{\infty}$}-norm solution to a system of
consistent linear equations",
journal = j-SINUM,
volume = "11",
pages = "1151--1165",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cadzow:1988:SEC,
author = "J. A. Cadzow",
title = "Signal Enhancement---{A} Composite Property Mapping
Algorithm",
journal = j-IEEE-TRANS-ACOUST-SPEECH,
volume = "36",
number = "1",
pages = "49--62",
year = "1988",
CODEN = "IETABA",
ISSN = "0096-3518",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29",
}
@Article{Caffney:1963:ATM,
author = "John Caffney",
title = "Another Test Matrix for Determinants and Inverses",
journal = j-CACM,
volume = "6",
number = "6",
pages = "310",
year = "1963",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Cain:1984:SSP,
author = "Bryan E. Cain",
title = "Some Spectral Properties of Polar Decompositions",
journal = j-CAN-J-MATH,
volume = "36",
number = "6",
pages = "973--985",
year = "1984",
CODEN = "CJMAAB",
ISSN = "0008-414X (print), 1496-4279 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Canadian Journal of Mathematics = Journal canadien de math{\'e}matiques",
journal-URL = "http://cms.math.ca/cjm/",
}
@TechReport{Calahan:1986:BOL,
author = "D. A. Calahan",
title = "Block-oriented, local-memory-based linear equation
solution on the {Cray}-2: uniprocessor algorithms",
institution = "Proceedings of 1986 International Conference on
Parallel Processing, Washington DC, IEEE Computer
Society Press",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Ph'copied from CVLs ph'copy - full reference taken
from GJMS88.",
}
@TechReport{Calvetti:1993:ACP,
author = "D. Calvetti and E. Gallopoulos and L. Reichel",
title = "Accuracy Control for Parallel Evaluation of Matrix
Rational Functions",
type = "Technical Report",
number = "1278",
institution = "CSRD, University of Illinois",
address = "Urbana",
pages = "????",
year = "1993?",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Calvetti:1992:CVS,
author = "D. Calvetti and L. Reichel",
title = "A {Chebychev-Vandermonde} Solver",
journal = j-LAA,
volume = "172",
pages = "219--229",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Calvetti:1993:FIV,
author = "D. Calvetti and L. Reichel",
title = "Fast Inversion of {Vandermonde}-Like Matrices
Involving Orthogonal Polynomials",
journal = j-BIT,
volume = "33",
pages = "473--484",
year = "1993",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Book{Campbell-Kelly:1985:MSL,
author = "Martin Campbell-Kelly and Michael R. Williams",
title = "The {Moore School} Lectures: {Theory} and Techniques
for Design of Electronic Digital Computers",
volume = "9",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "xxxiv + 568",
year = "1985",
ISBN = "0-262-03109-4",
ISBN-13 = "978-0-262-03109-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Charles Babbage Institute Reprint Series for the
History of Computing",
mynote = "Lectures given in July--August 1946, Moore School, U.
Penn. Reports circulated only to attendees. The written
lectures are from transcripts so not `proper papers'. A
few NA-type lectures, e.g. by Goldstine, but nothing I
hadn't seen elsewhere. Nothing of note here for me.",
}
@Book{Campbell:1979:GIL,
author = "S. L. Campbell and C. D. {Meyer, Jr.}",
title = "Generalized Inverses of Linear Transformations",
publisher = pub-PITMAN,
address = pub-PITMAN:adr,
pages = "xi + 272",
year = "1979",
ISBN = "0-486-66693-X",
ISBN-13 = "978-0-486-66693-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted by Dover, New York, 1991",
}
@Article{Cao:1986:NIH,
author = "Wei-Lu Cao and William J. Stewart",
title = "A Note on Inverses of {Hessenberg}-Like Matrices",
journal = j-LAA,
volume = "76",
pages = "233--240",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Caprani:1971:ILR,
author = "Ole Caprani",
title = "Implementation of a Low Round-Off Summation Method",
journal = j-BIT,
volume = "11",
pages = "271--275",
year = "1971",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Book{Carey:1989:PSM,
author = "G. F. Carey",
booktitle = "Parallel Supercomputing: Methods, Algorithms and
Applications",
title = "Parallel Supercomputing: Methods, Algorithms and
Applications",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Carlson:1957:OPL,
author = "B. C. Carlson and Joseph M. Keller",
title = "Orthogonalization Procedures and the Localization of
{Wannier} Functions",
journal = j-PHYS-REV,
volume = "105",
pages = "102--103",
year = "1957",
CODEN = "PHRVAO",
ISSN = "0031-899X (print), 1536-6065 (electronic)",
ISSN-L = "0031-899X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Physical Review",
journal-URL = "http://pra.aps.org/browse",
}
@Article{Carlson:1992:GEE,
author = "David Carlson and Charles R. Johnson and David C. Lay
and A. Duane Porter",
title = "Gems of Exposition in Elementary Linear Algebra",
journal = j-CMJ,
volume = "23",
number = "4",
pages = "299--303",
year = "1992",
bibdate = "Thu May 18 09:39:05 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Carlson:1993:LAC,
author = "David Carlson and Charles R. Johnson and David C. Lay
and A. Duane Porter",
title = "The {Linear Algebra Curriculum Study Group}
Recommendations for the First Course in Linear
Algebra",
journal = j-CMJ,
volume = "24",
number = "1",
pages = "41--46",
year = "1993",
bibdate = "Wed May 17 15:41:24 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Carpenter:1986:MTA,
editor = "B. E. Carpenter and R. W. Doran",
title = "{A. M. Turing's ACE} Report of 1946 and Other Papers",
volume = "10",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "vii + 141",
year = "1986",
ISBN = "0-262-03114-0",
ISBN-13 = "978-0-262-03114-1",
bibdate = "Thu Sep 14 12:13:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Charles Babbage Institute Reprint Series for the
History of Computing",
}
@TechReport{Carpraux:1993:SPN,
author = "J. Carpraux and J. Erhel and M. Sadkane",
title = "Spectral Portrait for Non {Hermitian} Large Sparse
Matrices",
type = "Technical Report",
number = "777",
institution = "INRIA/IRISA, Unit\'e de Recherche",
address = "Rennes, France",
pages = "????",
year = "1993",
bibdate = "Wed Sep 20 19:51:28 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "From TB: unseen.",
}
@Article{Carr:1959:EAF,
author = "John W. {Carr III}",
title = "Error Analysis in Floating Point Arithmetic",
journal = j-CACM,
volume = "2",
number = "5",
pages = "10--15",
year = "1959",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Carroll:1988:TWR,
author = "R. J. Carroll and D. Ruppert",
title = "Transformation and Weighting in Regression",
publisher = pub-CHAPMAN-HALL,
address = pub-CHAPMAN-HALL:adr,
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cart:1972:EOT,
author = "D. G. Cart and D. H. Lackowski",
title = "Estimation of Orthogonal Transformations in Strapdown
Inertial Systems",
journal = j-IEEE-AC,
volume = "AC-??",
pages = "97--100",
month = feb,
year = "1972",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Carter:1991:MFP,
author = "Russell Carter",
title = "{Y-MP} Floating Point and {Cholesky} Factorization",
journal = j-INT-J-HIGH-SPEED-COMPUTING,
volume = "3",
number = "3/4",
pages = "215--222",
year = "1991",
CODEN = "IHSCEZ",
ISSN = "0129-0533",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of High Speed Computing",
journal-URL = "http://www.worldscientific.com/worldscinet/ijhsc",
mynote = "NASA Ames Research Center Report RND-90-007, Dec 90.",
}
@Book{Cash:1979:SRA,
author = "J. R. Cash",
title = "Stable Recursions: With Applications to the Numerical
Solution of Stiff Systems",
publisher = pub-AP,
address = pub-AP:adr-L,
pages = "????",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Cauchy:1841:EDP,
author = "A. Cauchy",
title = "Exercices d'Analyse et de Phys. Math.",
volume = "2",
publisher = "????",
address = "Paris",
pages = "????",
year = "1841",
bibdate = "Fri Apr 7 09:50:43 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Cited in \cite{Savage:1954:TIF}",
}
@PhdThesis{Causey:1964:CNM,
author = "R. L. Causey",
title = "On Closest Normal Matrices",
school = "Stanford University",
address = "Stanford, CA",
pages = "????",
month = may,
year = "1964",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Department of Computer Science",
}
@Article{Venkaiah:1988:CMS,
author = "V. Ch. Venkaiah and S. K. Sen",
title = "Computing a matrix symmetrizer exactly using modified
multiple modulus residue arithmetic",
journal = j-JCAM,
volume = "21",
pages = "27--40",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Chambers:1983:GMD,
author = "John M. Chambers and William S. Cleveland and Beat
Kleiner and Paul A. Tukey",
title = "Graphical Methods for Data Analysis",
publisher = "Wadsworth International Group (Belmont, CA) and
Duxbury Press (Boston)",
address = "????",
pages = "????",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Keeps mathematics to the minimum. Lots of types of
plot discussed, many of which not of much interest to
me. Main feature is the variety of different plots.",
}
@Article{Chan:1994:CPT,
author = "Raymond H. Chan and James G. Nagy and Robert J.
Plemmons",
title = "Circulant Preconditioned {Toeplitz} Least Squares
Iterations",
journal = j-SIMAX,
volume = "15",
number = "1",
pages = "80--97",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1989:TEC,
author = "R. H. Chan and G. Strang",
title = "{Toeplitz} equations by conjugate gradients with
circulant preconditioner",
journal = j-SISSC,
volume = "10",
pages = "104--119",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also MIT NA Rep 87-5 with a different title.",
}
@Article{Chan:1984:ECF,
author = "Tony F. Chan",
title = "On the Existence and Computation of
{$LU$}-Factorizations with Small Pivots",
journal = j-MATH-COMP,
volume = "42",
number = "166",
pages = "535--547",
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Sat Mar 4 14:14:52 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1987:RRQ,
author = "Tony F. Chan",
title = "Rank Revealing {QR} Factorizations",
journal = j-LAA,
volume = "88/89",
pages = "67--82",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Yale YALEU/DCS/RR-398, June 1985.",
}
@Article{Chan:1988:OCP,
author = "Tony F. Chan",
title = "An Optimal Circulant Preconditioner for {Toeplitz}
Systems",
journal = j-SISSC,
volume = "9",
number = "4",
pages = "766--771",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1983:ACS,
author = "Tony F. Chan and Gene H. Golub and Randall J.
LeVeque",
title = "Algorithms for Computing the Sample Variance:
{Analysis} and Recommendations",
journal = j-AMER-STAT,
volume = "37",
number = "3",
pages = "242--247",
year = "1983",
CODEN = "ASTAAJ",
ISSN = "0003-1305 (print), 1537-2731 (electronic)",
ISSN-L = "0003-1305",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The American Statistician",
journal-URL = "http://www.tandfonline.com/loi/utas20",
}
@Article{Chan:1988:EWC,
author = "Tony F. Chan and David E. Foulser",
title = "Effectively Well-Conditioned Linear Systems",
journal = j-SISSC,
volume = "9",
number = "6",
pages = "963--969",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1990:CTS,
author = "T. F. Chan and P. C. Hansen",
title = "Computing truncated singular value decomposition least
squares solutions by rank revealing
{QR}-factorizations",
journal = j-SISSC,
volume = "11",
pages = "519--530",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1992:SAR,
author = "T. F. Chan and P. C. Hansen",
title = "Some Applications of the Rank Revealing {QR}
Factorization",
journal = j-SISSC,
volume = "13",
number = "3",
pages = "727--741",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1992:LAL,
author = "T. F. Chan and P. C. Hansen",
title = "A Look-ahead {Levinson} Algorithm for Indefinite
{Toeplitz} Systems",
journal = j-SIMAX,
volume = "13",
number = "2",
pages = "490--506",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chan:1979:CSD,
author = "Tony F. Chan and John Gregg Lewis",
title = "Computing Standard Deivations: {Accuracy}",
journal = j-CACM,
volume = "22",
number = "9",
pages = "526--531",
year = "1979",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Chan:1986:CNS,
author = "Tony F. Chan and Diana C. Resasco",
title = "On the Condition of Nearly Singular Matrices Under
Rank-1 Perturbations",
journal = j-LAA,
volume = "76",
pages = "223--232",
year = "1986",
bibdate = "Sun Oct 16 16:29:57 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Chandrasekaran:1991:RRQ,
author = "S. Chandrasekaran and I. Ipsen",
title = "On Rank-Revealing {QR} Factorisations",
type = "Research Report",
number = "YALEU/DCS/RR-880",
institution = "Department of Computer Science, Yale University",
address = "????",
pages = "????",
month = dec,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chandrasekaran:1994:BEE,
author = "Shivkumar Chandrasekaran and Ilse C. F. Ipsen",
title = "Backward Errors for Eigenvalue and Singular Value
Decompositions",
journal = j-NUM-MATH,
volume = "68",
pages = "215--223",
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri Oct 14 09:52:47 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Chandrasekaran:1995:SSC,
author = "Shivkumar Chandrasekaran and Ilse C. F. Ipsen",
title = "On the Sensitivity of Solution Components in Linear
Systems of Equations",
journal = j-SIMAX,
volume = "16",
number = "1",
pages = "93--112",
year = "1995",
bibdate = "Sat Mar 4 13:28:02 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chandrasekaran:1995:AQA,
author = "Shivkumar Chandrasekaran and Ilse C. F. Ipsen",
title = "Analysis of a {QR} Algorithm for Computing Singular
Values",
journal = j-SIMAX,
volume = "16",
number = "2",
pages = "520--535",
year = "1995",
bibdate = "Wed May 3 08:46:42 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Chang:1995:NPB,
author = "{Xiao-Wen} Chang and C. C. Paige",
title = "New Perturbation Bounds for the {Cholesky}
Factorization",
address = "????",
pages = "13",
month = feb,
year = "1995",
bibdate = "Wed Mar 1 19:06:31 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
mynote = "Entered for Fox Prize",
}
@Article{Charlier:1989:SAR,
author = "J.-P. Charlier and P. {Van Dooren}",
title = "A Systolic Algorithm for {Riccati} and {Lyapunov}
Equations",
journal = j-MATH-CTRL-SIG-SYS,
volume = "2",
pages = "109--136",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chartres:1966:ACP,
author = "Bruce A. Chartres",
title = "Automatic Controlled Precision Calculations",
journal = j-ACM,
volume = "13",
number = "3",
pages = "386--403",
year = "1966",
bibdate = "Wed Nov 23 21:03:57 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Chartres:1967:CEB,
author = "Bruce A. Chartres and James C. Geuder",
title = "Computable Error Bounds for Direct Solution of Linear
Equations",
journal = j-ACM,
volume = "14",
number = "1",
pages = "63--71",
year = "1967",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Chatelin:1992:AIN,
author = "Fran{\c{c}}oise Chatelin",
title = "About the Influence of Nonnormality on Matrix
Computations",
address = "????",
pages = "????",
month = jan,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Talk given at Workshop on Linear Algebra, Markov
Chains, and Queuing Models, Institute for Mathematics
and its Applications, University of Minnesota",
mynote = "I have copy of slides.",
}
@Book{Chatelin:1993:EM,
author = "Fran{\c{c}}oise Chatelin",
title = "Eigenvalues of Matrices",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xviii + 382",
year = "1993",
ISBN = "0-471-93538-7",
ISBN-13 = "978-0-471-93538-4",
LCCN = "QA188 .C44 1993",
MRclass = "65-01 (15A18 65F15 65F50)",
MRnumber = "1232655 (94d:65002)",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
note = "With exercises by Mario Ahu{\'e}s and the author,
Translated from the French and with additional material
by Walter Ledermann",
series = "Pure and applied mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0707/93003430-d.html;
http://www.loc.gov/catdir/toc/onix04/93003430.html",
acknowledgement = ack-nhfb # " and " # ack-rah,
subject = "Matrices; Eigenvalues",
tableofcontents = "Preface / xi \\
Preface to the English Edition / xv \\
Notation / xvii \\
1: Supplements from Linear Algebra / 1 \\
1.1 Notation and definitions / 1 \\
1.2 The canonical angles between two subspaces / 5 \\
1.3 Projections / 8 \\
1.4 The gap between two subspaces / 10 \\
1.5 Convergence of a sequence of subspaces / 14 \\
1.6 Reduction of Square matrices / 18 \\
1.7 Spectral decomposition / 27 \\
1.8 Rank and linear independence / 31 \\
1.9 Hermitian and normal matrices / 32 \\
1.10 Non-negative matrices / 33 \\
1.11 Sections and Rayleigh quotients / 34 \\
1.12 Sylvester's equation / 35 \\
1.13 Regular pencils of matrices / 42 \\
1.14 Bibliographical comments / 43 \\
Exercises / 43 \\
2: Elements of Spectral Theory / 61 \\
2.1 Revision of some properties of functions of a
complex variable / 61 \\
2.2 Singularities of the resolvent / 63 \\
2.3 The reduced resolvent and the partial inverse / 73
\\
2.4 The block-reduced resolvent / 76 \\
2.5 Linear perturbations of the matrix A / 79 \\
2.6 Analyticity of the resolvent / 82 \\
2.7 Analyticity of the spectral projection / 84 \\
2.8 The Rellich--Kato expansions / 85 \\
2.9 The Rayleigh--Schr{\"o}dinger expansions / 86 \\
2.10 Non-linear equation and Newton's method / 89 \\
2.11 Modified methods / 92 \\
2.12 The local approximate inverse and the method of
residual correction / 95 \\
2.13 Bibliographical comments / 98 \\
Exercises / 98 \\
3: Why Compute Eigenvalues? / 111 \\
3.1 Differential equations and difference equations /
111 \\
3.2 Markov chains / 114 \\
3.3 Theory of economics / 117 \\
3.4 Factorial analysis of data / 119 \\
3.5 The dynamics of structures / 120 \\
3.6 Chemistry / 122 \\
3.7 Fredholm's integral equation / 124 \\
3.8 Bibliographical comments / 126 \\
Exercises / 126 \\
4: Error Analysis / 149 \\
4.1 Revision of the conditioning of a System / 149 \\
4.2 Stability of a spectral problem / 150 \\
4.3 A priori analysis of errors / 165 \\
4.4 A posteriori analysis of errors / 170 \\
4.5 A is almost diagonal / 177 \\
4.6 A is Hermitian / 180 \\
4.7 Bibliographical comments / 190 \\
Exercises / 191 \\
5: Foundations of Methods for Computing Eigenvalues /
205 \\
5.1 Convergence of a Krylov sequence of subspaces / 205
\\
5.2 The method of subspace iteration / 208 \\
5.3 The power method / 213 \\
5.4 The method of inverse iteration / 217 \\
5.5 The $Q R$ algorithm / 221 \\
5.6 Hermitian matrices / 226 \\
5.7 The $Q Z$ algorithm / 226 \\
5.8 Newton's method and the Rayleigh quotient iteration
/ 227 \\
5.9 Modified Newton's method and simultaneous inverse
iterations / 228 \\
5.10 Bibliographical comments / 235 \\
Exercises / 235 \\
6: Numerical Methods for Large Matrices / 251 \\
6.1 The principle of the methods / 251 \\
6.2 The method of subspace iteration revisited / 253
\\
6.3 The Lanczos method / 257 \\
6.4 The block Lanczos method / 266 \\
6.5 The generalized problem $K x = I M x$ / 270 \\
6.6 Arnoldi's method / 272 \\
6.7 Oblique projections / 279 \\
6.8 Bibliographical comments / 280 \\
Exercises / 281 \\
7: Chebyshev's Iterative Methods / 293 \\
7.1 Elements of the theory of uniform approximation for
a compact set in C / 293 \\
7.2 Chebyshev polynomials of a real variable / 299 \\
7.3 Chebyshev polynomials of a complex variable / 300
\\
7.4 The Chebyshev acceleration for the power method /
304 \\
7.5 The Chebyshev iteration method / 305 \\
7.6 Simultaneous Chebyshev iterations (with projection)
/ 308 \\
7.7 Determination of the optimal parameters / 311 \\
7.8 Least Squares polynomials on a polygon / 312 \\
7.9 The hybrid methods of Saad / 314 \\
7.10 Bibliographical comments / 316 \\
Exercises / 316 \\
Appendices / 323 \\
A Solution to Exercises / 323 \\
B References for Exercises / 367 \\
C References / 371 \\
Index / 378",
}
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}
@Article{Cline:1972:RCL,
author = "A. K. Cline",
title = "Rate of convergence of {Lawson}'s algorithm",
journal = j-MATH-COMP,
volume = "26",
pages = "167--176",
year = "1972",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cline:1973:EMS,
author = "A. K. Cline",
title = "An Elimination Method for the Solution of Linear Least
Squares Problems",
journal = j-SINUM,
volume = "10",
number = "2",
pages = "283--289",
year = "1973",
bibdate = "Wed Jan 4 09:31:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cline:1983:SCE,
author = "A. K. Cline and R. K. Rew",
title = "A Set of Counter-Examples to Three Condition Number
Estimators",
journal = j-SISSC,
volume = "4",
number = "4",
pages = "602--611",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cline:1979:ECN,
author = "A. K. Cline and C. B. Moler and G. W. Stewart and J.
H. Wilkinson",
title = "An Estimate for the Condition Number of a Matrix",
journal = j-SINUM,
volume = "16",
number = "2",
pages = "368--375",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Cline:1982:GLC,
author = "Alan K. Cline and Andrew R. Conn and Charles F. {Van
Loan}",
editor = "J. P. Hennart",
booktitle = "Numerical Analysis, Mexico 1981",
title = "Generalizing the {LINPACK} Condition Estimator",
volume = "909",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "73--83",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Mathematics",
}
@Article{Cline:1976:SUL,
author = "R. E. Cline and R. J. Plemmons",
title = "{$l_2$}-Solutions to Underdetermined Linear Systems",
journal = j-SIREV,
volume = "18",
number = "1",
pages = "92--106",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Clinger:1990:HRF,
author = "William D. Clinger",
title = "How to Read Floating Point Numbers Accurately",
journal = j-SIGPLAN,
volume = "25",
number = "6",
pages = "92--101",
year = "1990",
CODEN = "SINODQ",
ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160
(electronic)",
ISSN-L = "0362-1340",
bibdate = "Mon Dec 12 21:40:38 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGPLAN Notices",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J706",
}
@Article{Clint:1970:EEE,
author = "M. Clint and A. Jennings",
title = "The Evaluation of Eigenvalues and Eigenvectors of Real
Symmetric Matrices by Simultaneous Iteration",
journal = j-COMP-J,
volume = "13",
number = "1",
pages = "76--80",
year = "1970",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Book{Codenotti:1991:PCL,
author = "Bruno Codenotti and Mauro Leoncini",
title = "Parallel Complexity of Linear System Solution",
publisher = pub-WS,
address = pub-WS:adr,
pages = "ix + 218",
year = "1991",
ISBN = "981-02-0503-1",
ISBN-13 = "978-981-02-0503-4",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "No discussion of numerical stability. Otherwise a
reasonable reference for theoretical complexity stuff:
Csanky, etc. In Dundee lib.",
}
@Article{Cody:1981:APF,
author = "W. J. Cody",
title = "Analysis of Proposals for the Floating-Point
Standard",
journal = j-COMPUTER,
volume = "14",
pages = "63--68",
year = "1981",
CODEN = "CPTRB4",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
ISSN-L = "0018-9162",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computer",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/computer",
mynote = "March 1981.",
}
@InProceedings{Cody:1982:ITF,
author = "W. J. Cody",
editor = "Paul C. Messina and Almerico Murli",
booktitle = "Problems and Methodologies in Mathematical Software
Production",
title = "Implementation and Testing of Function Software",
volume = "142",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "24--47",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@Article{Cody:1973:SDN,
author = "William J. {Cody, Jr.}",
title = "Static and Dynamic Numerical Characteristics of
Floating-Point Arithmetic",
journal = j-IEEE-C,
volume = "C-22",
number = "6",
pages = "598--601",
year = "1973",
bibdate = "Tue Mar 21 10:47:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Cody:1987:SPS,
author = "W. J. Cody",
editor = "Arthur Wouk",
booktitle = "New Computing Environments: {Microcomputers} in
Large-Scale Computing",
title = "{SPECFUN}: {A} Portable Special Function Package",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "1--12",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Wouk:1987:NCE",
}
@Article{Cody:1988:AMS,
author = "W. J. Cody",
title = "{ALGORITHM 665 MACHAR}: {A} Subroutine to Dynamically
Determine Machine Parameters",
journal = j-TOMS,
volume = "14",
number = "4",
pages = "303--311",
year = "1988",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InProceedings{Cody:1988:FPS,
author = "W. J. Cody",
editor = "Ramon E. Moore",
booktitle = "Reliability in Computing: {The} Role of Interval
Methods in Scientific Computing",
title = "Floating-Point Standards---{Theory} and Practice",
publisher = pub-AP,
address = pub-AP:adr-B,
pages = "99--107",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "ramo88",
}
@Article{Cody:1993:ACP,
author = "W. J. Cody",
title = "Algorithm 714. {CELEFUNT}: {A} Portable Test Package
for Complex Elementary Functions",
journal = j-TOMS,
volume = "19",
number = "1",
pages = "121",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Cody:1993:AFS,
author = "W. J. Cody and Jerome T. Coonen",
title = "{ALGORITHM 722}: {Functions} to Support the {IEEE}
Standard for Binary Floating-Point Arithmetic",
journal = j-TOMS,
volume = "19",
number = "4",
pages = "443--451",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Cody:1984:PRW,
author = "W. J. Cody and J. T. Coonen and D. M. Gay and K.
Hanson and D. Hough and W. Kahan and R. Karpinski and
J. Palmer and F. N. Ris and D. Stevenson",
title = "A Proposed Radix- and Word-Length-Independent Standard
for Floating-Point Arithmetic",
journal = j-IEEE-MICRO,
volume = "4",
number = "4",
pages = "86--100",
year = "1984",
CODEN = "IEMIDZ",
ISSN = "0272-1732 (print), 1937-4143 (electronic)",
ISSN-L = "0272-1732",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Micro",
journal-URL = "http://www.computer.org/csdl/mags/mi/index.html",
mynote = "IEEE P854 draft 1.0",
}
@Book{Cody:1980:SME,
author = "William J. {Cody, Jr.} and William Waite",
title = "Software Manual for the Elementary Functions",
publisher = pub-PH,
address = pub-PH:adr,
pages = "x + 269",
year = "1980",
ISBN = "0-13-822064-6",
ISBN-13 = "978-0-13-822064-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cohen:1974:NPS,
author = "A. M. Cohen",
title = "A Note on Pivot Size in {Gaussian} Elimination",
journal = j-LAA,
volume = "8",
pages = "361--368",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Cohen:1974:FPM,
author = "A. M. Cohen",
title = "On fractional powers of a matrix",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Date estimated!",
}
@Article{Cohen:1975:IPM,
author = "A. M. Cohen",
title = "The Inverse of a {Pascal} Matrix",
journal = j-MATH-GAZ,
volume = "59",
number = "408",
pages = "111--112",
year = "1975",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibdate = "Sun Oct 16 16:18:41 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
mynote = "Binomial coefficient formula for inverse.",
}
@Article{Cohen:1994:PP,
author = "A. M. Cohen",
title = "Is the Polynomial So Perfidious?",
journal = j-NUM-MATH,
volume = "68",
pages = "225--238",
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Cohen:1976:ISF,
author = "Jacques Cohen and Martin Roth",
title = "On the Implementation of {Strassen}'s Fast
Multiplication Algorithm",
journal = j-ACTA-INFO,
volume = "6",
pages = "341--355",
year = "1976",
CODEN = "AINFA2",
ISSN = "0001-5903 (print), 1432-0525 (electronic)",
ISSN-L = "0001-5903",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Acta Informatica",
journal-URL = "http://link.springer.com/journal/236",
}
@Article{Cohen:1983:CCP,
author = "Marty S. Cohen and T. E. Hull and V. Carl Hamacher",
title = "{CADAC}: {A} Controlled-Precision Decimal Arithmetic
Unit",
journal = j-IEEE-C,
volume = "C-32",
number = "4",
pages = "370--377",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Coleman:1984:LSN,
author = "T. F. Coleman",
title = "Large Sparse Numerical Optimization",
volume = "165",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "????",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@TechReport{Coleman:1991:LSN,
author = "T. F. Coleman",
title = "Large-Scale Numerical Optimization: {Introduction} and
Overview",
type = "Technical Report",
number = "CTC 91 TR85",
institution = "Advanced Computing Research Institute, Cornell Theory
Center, Cornell University",
address = "Ithaca, New York",
pages = "????",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear in the Encyclopedia of Computer Science and
Technology, Marcel Dekker",
}
@Article{Coleman:1990:CTR,
author = "T. F. Coleman and C. Hempel",
title = "Computing a trust region step for a penalty function",
journal = j-SISSC,
volume = "11",
pages = "180--??",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "also July 1987, TR 87-847, Cornell",
}
@TechReport{Coleman:1988:DAS,
author = "T. F. Coleman and L. A. Hulbert",
title = "A Direct Active Set Algorithm for Large Sparse
Quadratic Programs with Simple Bounds",
institution = "Technical Report TR 88-926, Department of Computer
Science, Cornell University",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@Book{Coleman:1990:LSN,
author = "Thomas F. Coleman and Yuying Li",
title = "Large-Scale Numerical Optimization",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1990",
ISBN = "0-89871-268-8",
ISBN-13 = "978-0-89871-268-1",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Coleman:1992:GQC,
author = "Thomas F. Coleman and Yuying Li",
title = "A global and quadratically convergent method for
linear ${L}_\infty$ problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "29",
number = "4",
pages = "1166--1186",
month = aug,
year = "1992",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65H10 (65K05 65K10)",
MRnumber = "93d:65050",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
mynote = "Technical Report 90-1121, CS, Cornell University",
}
@Article{Coleman:1984:NCO,
author = "Thomas F. Coleman and Danny C. Sorensen",
title = "A Note on the Computation of an Orthonormal Basis for
the Null Space of a Matrix",
journal = j-MATH-PROG,
volume = "29",
pages = "234--242",
year = "1984",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Mon Nov 27 15:49:19 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Book{Coleman:1988:HMC,
author = "Thomas F. Coleman and Charles F. {Van Loan}",
title = "Handbook for Matrix Computations",
volume = "4",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "vii + 264",
year = "1988",
DOI = "https://doi.org/10.1137/1.9781611971040",
ISBN = "0-89871-227-0 (paperback), 1-61197-104-7 (e-book)",
ISBN-13 = "978-0-89871-227-8 (paperback), 978-1-61197-104-0
(e-book)",
LCCN = "QA188 .C651 1988",
bibdate = "Mon Oct 26 07:30:48 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
price = "US\$34.00",
series = "Frontiers in applied mathematics",
abstract = "This handbook can be used as a reference by those
actively engaged in scientific computation. It can also
serve as a practical companion text in a numerical
methods course that involves a significant amount of
linear algebraic computation. The book has four
chapters, each being fairly independent of the others.
Our treatment of Fortran 77 in Chapter 1 involves a
much stronger emphasis on arrays than is accorded by
other authors. We also assume that the reader has
experience with some high-level programming language.
This might be in the form of a recent course in Pascal
or a course in Fortran taken many years ago and now
half-forgotten. The second chapter is about the Basic
Linear Algebra Subprograms (BLAS). The elementary
linear algebra that underpins the BLAS makes them a
good vehicle for acquainting the beginning student with
modular programming and the importance of ``thinking
vector'' when organizing a matrix computation. Chapter
3 is concerned with LINPACK, a highly acclaimed package
that is suitable for many linear equation and least
square calculations. The last chapter is about MATLAB,
an interactive system in which it is possible to couch
sophisticated matrix computations at a very high
level.",
acknowledgement = ack-nhfb,
libnote = "Not yet in my library.",
shorttableofcontents = "1: A subset of Fortran 77 \\
2: The BLAS \\
3: LINPACK \\
4: MATLAB",
subject = "Matrices; Data processing",
tableofcontents = "Preface / vii \\
1: A Subset of Fortran 77 / 1 \\
1.1: Basics / 3 \\
1.2: Logical Operations / 18 \\
1.3: Loops / 25 \\
1.4: Arrays / 32 \\
1.5: Subprograms / 42 \\
1.6: Arrays and Subprograms / 58 \\
1.7: Input and Output / 69 \\
1.8: Complex Arithmetic / 82 \\
1.9: Programming Tips / 87 \\
Appendix: Fortran 77 Built-in Functions / 101 \\
2: The BLAS / 105 \\
2.1: Bookkeeping Operations / 107 \\
2.2: Vector Operations / 112 \\
2.3: Norm Computations / 119 \\
2.4: Givens Rotations / 125 \\
2.5: Double Precision and Complex Versions / 132 \\
3: LINPACK / 139 \\
3.1: Triangular Systems / 141 \\
3.2: General Systems / 147 \\
3.3: Symmetric Systems / 152 \\
3.4: Banded Systems / 161 \\
3.5: The QR Factorization / 166 \\
3.6: The Singular Value Decomposition / 175 \\
3.7: Double Precision and Complex Versions / 180 \\
4: MATLAB / 187 \\
4.1: Basics / 189 \\
4.2: Loops and Conditionals / 203 \\
4.3: Working with Submatrices / 212 \\
4.4: Built-in Functions / 219 \\
4.5: Functions / 232 \\
4.6: Factorization / 243 \\
4.7: Miscellaneous / 256 \\
References / 261 \\
Index / 262",
}
@Article{Group:1981:PSB,
author = "{IEEE Computer Society Microprocessor Standards
Committee, Floating-Point Working Group}",
title = "A Proposed Standard for Binary Floating-Point
Arithmetic, {Draft} 8.0 of {IEEE Task P754} (With
Introductory Comments by {David Stevenson})",
journal = j-COMPUTER,
volume = "14",
pages = "51--62",
year = "1981",
CODEN = "CPTRB4",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
ISSN-L = "0018-9162",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computer",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/computer",
mynote = "March 1981. Other related articles, pp. 63-87.",
}
@Book{IEEE:1985:ISB,
key = "IEEE Computer Society",
title = "{IEEE} Standard for Binary Floating-Point Arithmetic,
{ANSI/IEEE} Standard 754-1985",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "????",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted in SIGPLAN Notices, 22(2):9--25, 1987",
}
@Book{IEEE:1987:RSF,
key = "IEEE Computer Society",
title = "A Radix-Independent Standard for Floating-Point
Arithmetic, {IEEE} Standard 854-1987",
publisher = "IEEE Computer Society",
address = "New York",
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Taken from \cite{Cody:1988:FPS}",
}
@Article{Concus:1985:BPC,
author = "P. Concus and G. H. Golub and G. Meurant",
title = "Block Preconditioning for the Conjugate Gradient
Method",
journal = j-SISSC,
volume = "6",
number = "1",
pages = "220--252",
year = "1985",
bibdate = "Fri Feb 24 20:38:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Concus:1976:GCG,
author = "Paul Concus and Gene H. Golub and Dianne P. O'Leary",
title = "A Generalized Conjugate Gradient Method for the
Numerical Solution of Elliptic Partial Differential
Equations",
crossref = "Bunch:1976:SMC",
pages = "309--332",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted in \cite[pp.~178--198]{Golub:1984:SNA}.",
}
@TechReport{Concus:1986:CIB,
author = "P. Concus and G. Meurant",
title = "On computing {INV} block preconditionings for the
conjugate gradient method",
institution = "Technical Report LBL-20939, Lawrence Berkeley
Laboratory, University of California, Berkeley",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Conn:1992:LFP,
author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe
L. Toint",
title = "{LANCELOT}: {A Fortran} Package for Large-Scale
Nonlinear Optimization (Release {A})",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "xviii + 330",
year = "1992",
ISBN = "0-387-55470-X",
ISBN-13 = "978-0-387-55470-9",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Conn:1992:NEL,
author = "Andrew R. Conn and Nicholas I. M. Gould and Philippe
L. Toint",
title = "Numerical Experiments with the {LANCELOT} Package
({Release A}) for Large-Scale Nonlinear Optimization",
type = "Report",
number = "RAL-92-075",
institution = inst-RAL,
address = inst-RAL:adr,
pages = "????",
month = nov,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Conte:1980:ENA,
author = "Samuel D. Conte and Carl de Boor",
title = "Elementary Numerical Analysis: {An} Algorithmic
Approach",
publisher = pub-MH,
address = "Tokyo",
edition = "Third",
pages = "xii + 432",
year = "1980",
ISBN = "0-07-066228-2",
ISBN-13 = "978-0-07-066228-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Cooke:1982:BSC,
author = "D. Cooke and A. H. Craven and G. M. Clarke",
title = "Basic Statistical Computing",
publisher = pub-EDWARD-ARNOLD,
address = pub-EDWARD-ARNOLD:adr,
pages = "????",
year = "1982",
ISBN = "0-7131-3441-0",
ISBN-13 = "978-0-7131-3441-4",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Basic refers to the language. Of interest only because
it discusses sample variance computation in Ch. 6 and
gives the updating algorithm (without references).",
}
@InProceedings{Cooley:1990:HFG,
author = "James W. Cooley",
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "How the {FFT} Gained Acceptance",
publisher = pub-AW,
address = pub-AW:adr,
pages = "133--140",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Nash:1990:HSC",
}
@InProceedings{Cooley:1994:LFD,
author = "James W. Cooley",
editor = "J. David Brown and Moody T. Chu and Donald C. Ellison
and Robert J. Plemmons",
booktitle = "Proceedings of the {Cornelius Lanczos} International
Centenary Conference",
title = "{Lanczos} and the {FFT}: {A} Discovery Before Its
Time",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "3--9",
year = "1994",
bibdate = "Sat Mar 4 14:38:48 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cooley:1965:AMC,
author = "James W. Cooley and John W. Tukey",
title = "An Algorithm for the Machine Calculation of Complex
{Fourier} Series",
journal = j-MATH-COMP,
volume = "19",
number = "90",
pages = "297--301",
year = "1965",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Most cited paper in Math or Computer Science 1961-82.
Sixth most cited 1945-88.",
}
@Article{Cooley:1993:OPF,
author = "James W. Cooley and John W. Tukey",
title = "On the Origin and Publication of the {FFT} Paper",
journal = j-CURR-CONT,
number = "51--52",
pages = "8--9",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "No. 51--52, Dec. 20-27. Citation Classic",
}
@Article{Coomes:1995:RCS,
author = "Brian A. Coomes and H{\"u}seyin Ko{\c{c}}ak and
Kenneth J. Palmer",
title = "Rigorous Computational Shadowing of Orbits of Ordinary
Differential Equations",
journal = j-NUM-MATH,
volume = "69",
number = "4",
pages = "401--421",
year = "1995",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Wed Mar 8 14:01:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Coonen:1981:UDN,
author = "Jerome T. Coonen",
title = "Underflow and the Denormalized Numbers",
journal = j-COMPUTER,
volume = "14",
pages = "75--87",
year = "1981",
CODEN = "CPTRB4",
ISSN = "0018-9162 (print), 1558-0814 (electronic)",
ISSN-L = "0018-9162",
bibdate = "Tue Feb 14 09:13:42 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computer",
journal-URL = "http://www.computer.org/portal/web/csdl/magazines/computer",
mynote = "March 1981.",
}
@Article{Cooper:1967:ECC,
author = "G. J. Cooper",
title = "The Evaluation of the Coefficients in a {Chebyshev}
Expansion",
journal = j-COMP-J,
volume = "10",
number = "1",
pages = "94--100",
year = "1967",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Cope:1979:BSL,
author = "J. E. Cope and B. W. Rust",
title = "Bounds on Solutions of Linear Systems with Inaccurate
Data",
journal = j-SINUM,
volume = "16",
number = "6",
pages = "950--963",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Coppersmith:1982:ACM,
author = "D. Coppersmith and S. Winograd",
title = "On the Asymptotic Complexity of Matrix
Multiplication",
journal = j-SIAM-J-COMPUT,
volume = "11",
number = "3",
pages = "472--492",
year = "1982",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@InProceedings{Coppersmith:1987:MMA,
author = "Don Coppersmith and Shmuel Winograd",
booktitle = "Proceedings of the Nineteenth Annual ACM Symposium on
Theory of Computing",
title = "Matrix Multiplication via Arithmetic Progressions",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "1--6",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Antonioordova:1990:VMU,
author = "Antonio C{\'o}rdova and Walter Gautschi and Stephan
Ruscheweyh",
title = "{Vandermonde} Matrices on the Unit Circle: {Spectral}
Properties and Conditioning",
journal = j-NUM-MATH,
volume = "57",
pages = "577--591",
year = "1990",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Corless:1992:CFC,
author = "Rob Corless",
title = "Continued Fractions and Chaos",
journal = j-AMM,
volume = "99",
number = "3",
pages = "203--215",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Corless:1992:DCN,
author = "Robert M. Corless",
title = "Defect-Controlled Numerical Methods and Shadowing for
Chaotic Differential Equations",
journal = j-PHYSICA-D,
volume = "60",
pages = "323--334",
year = "1992",
CODEN = "PDNPDT",
ISSN = "0167-2789 (print), 1872-8022 (electronic)",
ISSN-L = "0167-2789",
bibdate = "Wed Mar 8 20:12:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Physica. D, Nonlinear phenomena",
journal-URL = "http://www.sciencedirect.com/science/journal/01672789",
}
@Article{Corless:1991:NMC,
author = "Robert M. Corless and C. Essex and M. A. H.
Nerenberg",
title = "Numerical Methods Can Suppress Chaos",
journal = j-PHYS-LET-A,
volume = "157",
number = "1",
pages = "27--36",
year = "1991",
CODEN = "PYLAAG",
ISSN = "0375-9601 (print), 1873-2429 (electronic)",
ISSN-L = "0375-9601",
bibdate = "Wed Mar 8 20:12:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Physics Letters A",
journal-URL = "http://www.sciencedirect.com/science/journal/03759601",
mynote = "Passed to Des. Little on roundoff.",
}
@TechReport{Corless:1991:RGO,
author = "Robert M. Corless and George F. Corliss",
title = "Rationale for Guaranteed {ODE} Defect Control",
type = "Preprint",
number = "MCS-P273-1191",
institution = inst-MCS-Argonne,
address = inst-MCS-Argonne:adr,
pages = "????",
month = dec,
year = "1991",
bibdate = "Wed Mar 8 20:17:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Cormen:1990:IA,
author = "Thomas H. Cormen and Charles E. Leiserson and Ronald
L. Rivest",
title = "Introduction to Algorithms",
publisher = "The MIT Press",
address = "Cambridge, MA",
pages = "xvii + 1028",
year = "1990",
ISBN = "0-262-03141-8",
ISBN-13 = "978-0-262-03141-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Gives a derivation of Strassen's method from first
principles, pages 740-743 (similar to the paper I
have). One page 744 states `Strassen's method is
largely of theoretical interest'! In Dundee lib.",
}
@TechReport{Cosgrove:1991:AIP,
author = "J. D. F. Cosgrove and J. C. D{\'i}az and A. Griewank",
title = "Approximate Inverse Preconditionings for Sparse Linear
Systems",
type = "Preprint",
number = "MCS-P268-1091",
institution = inst-MCS-Argonne,
address = inst-MCS-Argonne:adr,
pages = "????",
month = nov,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cottle:1974:MSC,
author = "Richard W. Cottle",
title = "Manifestations of the {Schur} Complement",
journal = j-LAA,
volume = "8",
pages = "189--211",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Cowell:1977:PNS,
editor = "Wayne R. Cowell",
title = "Portability of Numerical Software",
volume = "57",
publisher = pub-SV,
address = pub-SV:adr,
pages = "????",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
mynote = "Check: editor or author?",
}
@Book{Cowell:1984:SDM,
editor = "Wayne R. Cowell",
title = "Sources and Development of Mathematical Software",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 404",
year = "1984",
ISBN = "0-13-823501-5",
ISBN-13 = "978-0-13-823501-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cox:1989:BEA,
author = "C. L. Cox and W. F. Moss",
title = "Backward error analysis for a pole assignment
algorithm",
journal = j-SIMAX,
volume = "10",
pages = "446--456",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cox:1972:NES,
author = "M. G. Cox",
title = "The Numerical Evaluation of {B}-Splines",
journal = j-JIMA,
volume = "10",
pages = "134--149",
year = "1972",
bibdate = "Mon Mar 6 21:22:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cox:1975:ASI,
author = "M. G. Cox",
title = "An Algorithm for Spline Interpolation",
journal = j-JIMA,
volume = "15",
pages = "95--108",
year = "1975",
bibdate = "Mon Mar 6 21:22:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cox:1978:NES,
author = "M. G. Cox",
title = "The Numerical Evaluation of a Spline From its
{B}-Spline Representation",
journal = j-JIMA,
volume = "21",
pages = "135--143",
year = "1978",
bibdate = "Tue Mar 7 10:02:33 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not copied. Contains error analysis for two schemes,
both stable.",
}
@Article{Cox:1986:PCS,
author = "M. G. Cox",
title = "Piecewise {Chebyshev} Series",
journal = j-IMA-BULL,
volume = "22",
number = "11/12",
pages = "163--166",
year = "1986",
bibdate = "Tue Mar 7 09:57:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
mynote = "Good historical comments on splines.",
}
@TechReport{Cox:1980:ELA,
author = "M. G. Cox and S. J. Hammarling",
title = "Evaluation of the Language {Ada} for use in Numerical
Computations",
type = "NPL Report",
number = "DNACS 30/80",
institution = inst-NPL,
address = inst-NPL:adr,
pages = "????",
month = jul,
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cox:1989:OIA,
author = "M. G. Cox and P. M. Harris",
title = "Overcoming an Instability Arising in a Spline
Approximation Algorithm by Using an Alternative Form of
a Simple Rational Function",
journal = j-IMA-BULL,
volume = "25",
number = "9",
pages = "228--232",
year = "1989",
bibdate = "Tue Mar 7 09:57:11 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
}
@Article{Cramer:1974:BSO,
author = "Elliot M. Cramer",
title = "On {Browne}'s Solution for Oblique {Procrustes}
Rotation",
journal = j-PSYCHOMETRIKA,
volume = "39",
number = "2",
pages = "159--163",
year = "1974",
CODEN = "PSMIA3",
ISSN = "0033-3123 (print), 1860-0980 (electronic)",
ISSN-L = "0033-3123",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Psychometrika",
}
@Article{Crary:1979:VPN,
author = "Fred D. Crary",
title = "A Versatile Precompiler for Nonstandard Arithmetics",
journal = j-TOMS,
volume = "5",
number = "2",
pages = "204--217",
year = "1979",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Mar 3 08:38:05 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Crawford:1986:APR,
author = "C. R. Crawford",
title = "{ALGORITHM 646 PDFIND}: {A} routine to find a positive
definite linear combination of two real symmetric
matrices",
journal = j-TOMS,
volume = "12",
pages = "278--282",
year = "1986",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Crawford:1983:FPD,
author = "C. R. Crawford and Y. S. Moon",
title = "Finding a positive definite linear combination of two
{Hermitian} matrices",
journal = j-LAA,
volume = "51",
pages = "37--48",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Manual{Inc:1989:UMS,
key = "Cray",
title = "{UNICOS} Math and Scientific Library Reference
Manual",
number = "Number SR-2081, Version 5.0",
organization = pub-CRAY,
address = pub-CRAY:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "March, ref from David Bailey and BLS 90 paper. Address
from \cite{Higham:1992:SMM}!",
}
@Article{Cross:1974:SRC,
author = "G. W. Cross and P. Lancaster",
title = "Square roots of complex matrices",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "1",
pages = "289--293",
year = "1974",
CODEN = "LNMLAZ",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
}
@Article{Crout:1941:SME,
author = "Prescott D. Crout",
title = "A Short Method for Evaluating Determinants and Solving
Systems of Linear Equations with Real or Complex
Coefficients",
journal = j-TRANS-AMER-INST-ELEC-ENG,
volume = "60",
pages = "1235--1241",
year = "1941",
CODEN = "TAEEA5",
ISSN = "0096-3860",
bibdate = "Tue Oct 25 19:55:15 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Transactions of the American Institute of Electrical Engineers",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=6413714",
}
@Article{Crowder:1979:RCE,
author = "H. Crowder and R. S. Dembo and J. M. Mulvey",
title = "On reporting computational experiments with
mathematical software",
journal = j-TOMS,
volume = "5",
pages = "193--203",
year = "1979",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Cryer:1968:PSG,
author = "C. W. Cryer",
title = "Pivot Size in {Gaussian} Elimination",
journal = j-NUM-MATH,
volume = "12",
pages = "335--345",
year = "1968",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Cryer:1973:FTP,
author = "Colin W. Cryer",
title = "The {$LU$}-Factorization of Totally Positive
Matrices",
journal = j-LAA,
volume = "7",
pages = "83--92",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cryer:1976:SPT,
author = "Colin W. Cryer",
title = "Some Properties of Totally Positive Matrices",
journal = j-LAA,
volume = "15",
pages = "1--25",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Csanky:1976:FPM,
author = "L. Csanky",
title = "Fast Parallel Matrix Inversion Algorithms",
journal = j-SIAM-J-COMPUT,
volume = "5",
number = "4",
pages = "618--623",
year = "1976",
CODEN = "SMJCAT",
ISSN = "0097-5397 (print), 1095-7111 (electronic)",
ISSN-L = "0097-5397",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "SIAM Journal on Computing",
journal-URL = "http://epubs.siam.org/sicomp",
}
@Book{Cullum:1985:LAL,
author = "Jane K. Cullum and Ralph A. Willoughby",
title = "{Lanczos} Algorithms for Large Symmetric Eigenvalue
Computations, Volume {I} Theory",
publisher = pub-BH,
address = pub-BH:adr,
pages = "xiv + 273",
year = "1985",
ISBN = "0-8176-3058-9",
ISBN-13 = "978-0-8176-3058-4",
bibdate = "Mon Mar 6 15:34:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Only skimmed. Tiny typeface. Emphasizes `local
orthogonality is enough' approach, as opposed to
Parlett \cite{Parlett:1980:SEP}'s `global orthogonality
is crucial'. They summarize Paige's error analysis but
don't (?) given any of their own.",
}
@Book{Cullum:1986:LSE,
author = "J. Cullum and R. A. Willoughby",
booktitle = "Large Scale Eigenvalue Problems",
title = "Large Scale Eigenvalue Problems",
publisher = "Elsevier Science Publishers B.V., North-Holland",
address = "Amsterdam",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Cullen:1985:LMB,
author = "M. R. Cullen",
title = "Linear Modes in Biology",
publisher = pub-EH,
address = pub-EH:adr,
pages = "????",
year = "1985",
ISBN = "0-470-20206-8",
ISBN-13 = "978-0-470-20206-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Culver:1966:EUR,
author = "W. J. Culver",
title = "On the existence and uniqueness of the real logarithm
of a matrix",
journal = j-PROC-AMS,
volume = "17",
pages = "1146--1151",
year = "1966",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cuppen:1984:UTP,
author = "J. J. M. Cuppen",
title = "On Updating Triangular Products of {Householder}
Reflections",
journal = j-NUM-MATH,
volume = "45",
pages = "403--409",
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sat Jan 28 18:26:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Curtis:1972:ASM,
author = "A. R. Curtis and J. K. Reid",
title = "On the Automatic Scaling of Matrices for {Gaussian}
Elimination",
journal = j-JIMA,
volume = "10",
pages = "118--124",
year = "1972",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cybenko:1980:NSL,
author = "G. Cybenko",
title = "The numerical stability of the {Levinson--Durbin}
algorithm for {Toeplitz} systems of equations",
journal = j-SISSC,
volume = "1",
pages = "303--319",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cybenko:1983:GOT,
author = "George Cybenko",
title = "A General Orthogonalization Technique With
Applications to Time Series Analysis and Signal
Processing",
journal = j-MATH-COMP,
volume = "40",
number = "161",
pages = "323--336",
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cybenko:1984:NSL,
author = "G. Cybenko",
title = "The numerical stability of the lattice algorithm for
least squares linear prediction problems",
journal = j-BIT,
volume = "24",
pages = "441--455",
year = "1984",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Cybenko:1984:ETM,
author = "G. Cybenko",
title = "On the eigenstructure of {Toeplitz} matrices",
journal = j-IEEE-TRANS-ACOUST-SPEECH,
volume = "ASSP-32",
pages = "918--921",
year = "1984",
CODEN = "IETABA",
ISSN = "0096-3518",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29",
}
@PhdThesis{Cybenko:1978:EAS,
author = "G. Cybenko",
title = "Error analysis of some signal processing algorithms",
type = "Ph.D. Thesis",
school = "Princeton University",
address = "Princeton, NJ, USA",
pages = "????",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@TechReport{Cybenko:1979:REP,
author = "G. Cybenko",
title = "Round-off error propagation in {Durbin's, Levinson's,
and Trench}'s algorithms",
institution = "Proc. International Conference on Acoustics, Speech
and Signal Processing, Washington DC, 498-501",
address = "????",
pages = "????",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "or 'Error analysis of Durbin's, ...' Details from
secretary!",
}
@TechReport{Cybenko:1981:EAA,
author = "G. Cybenko",
title = "Error analysis of algorithms for {Toeplitz} matrices
and linear prediction",
institution = "in Circuit Theory and Design, R. Boite and P. Dewilde,
eds, North-Holland, 379-386",
address = "????",
pages = "????",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "or 'Error analyses of algorithms...' Details1/2 from
secretary!",
}
@Unpublished{Cybenko:1986:CEM,
author = "G. Cybenko",
title = "The conditioning of eigenvector methods for
beamforming problems",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cybenko:1990:HHA,
author = "G. Cybenko and M. Berry",
title = "Hyperbolic {Householder} algorithms for factoring
structured matrices",
journal = j-SIMAX,
volume = "11",
pages = "499--520",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Cybenko:1986:CME,
author = "George Cybenko and Charles F. {Van Loan}",
title = "Computing the Minimum Eigenvalue of a Symmetric
Positive Definite {Toeplitz} matrix",
journal = j-SISSC,
volume = "7",
number = "1",
pages = "123--131",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dackland:1992:PBM,
author = "Krister Dackland and Erik Elmroth and Bo
K{\aa}gstr{\"o}m and Charles F. {Van Loan}",
title = "Parallel Block Matrix Factorizations on the
Shared-Memory Multiprocessor {IBM 3090 VF/600J}",
journal = j-IJSA,
volume = "6",
number = "1",
pages = "69--97",
year = "1992",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
}
@Article{Dahl:1978:SLA,
author = "Grete Dahl",
title = "On Scaling in Linear Algebraic Systems",
journal = j-BIT,
volume = "18",
pages = "363--365",
year = "1978",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Dahlquist:1983:MMM,
author = "G. Dahlquist",
title = "On matrix majorants and minorants, with applications
to differential equations",
journal = j-LAA,
volume = "52/53",
pages = "199--216",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dahlquist:1972:BEL,
author = "G. Dahlquist and S. C. Eisenstat and G. H. Golub",
title = "Bounds for the error of linear systems of equations
using the theory of moments",
journal = j-J-MATH-ANAL-APPL,
volume = "37",
pages = "151--166",
year = "1972",
CODEN = "JMANAK",
ISSN = "0022-247X (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Book{Dahlquist:1974:NM,
author = "Germund Dahlquist and {\AA}ke Bj{\"o}rck and Ned
Anderson",
title = "Numerical Methods",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xviii + 573",
year = "1974",
ISBN = "0-13-627315-7",
ISBN-13 = "978-0-13-627315-8",
LCCN = "QA297 .D131 1969",
bibdate = "Tue Dec 14 22:44:59 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/prng.bib",
note = "Translated by Ned Anderson.",
series = "Prentice-Hall Series in Automatic Computation",
acknowledgement = ack-nhfb,
shorttableofcontents = "1: Some General Principles of Numerical
Calculation / 1 \\
2: How to Obtain and Estimate Accuracy in Numerical
Calculations / 21 \\
3: Numerical Uses of Series / 60 \\
4: Approximation of Functions / 81 \\
5: Numerical Linear Algebra / 137 \\
6: Nonlinear Equations / 218 \\
7: Finite Differences with Applications to Numerical
Integration, Differentiation, and Interpolation / 255
\\
8: Differential Equations / 330 \\
9: Fourier Methods / 405 \\
10: Optimization / 422 \\
11: The Monte Carlo Method and Simulation / 448 \\
12: Solutions to Problems / 465 \\
13: Bibliography and Published Algorithms / 536 \\
Index by Subject to Algorithms, 1960--1970 / 548 \\
Appendix Tables / 563 \\
Index / 565",
tableofcontents = "Preface / xvii \\
Conventions / xix \\
1: Some General Principles of Numerical Calculation / 1
\\
1.1. Introduction / 1 \\
1.2. Some Common Ideas and Concepts in Numerical
Methods / 2 \\
1.3. Numerical Problems and Algorithms / 13 \\
1.3.1. Definitions / 13 \\
1.3.2. Recursive Formulas; Homer's Rule / 14 \\
1.3.3. An Example of Numerical Instability / 16 \\
2: How to Obtain and Estimate Accuracy in Numerical
Calculations / 21 \\
2.1. Basic Concepts in Error Estimation / 21 \\
2.1.1. Introduction / 21 \\
2.1.2. Sources of Error / 22 \\
2.1.3. Absolute and Relative Errors / 23 \\
2.1.4. Rounding and Chopping / 24 \\
2.2 Propagation of Errors / 26 \\
2.2.1. Simple Examples of Error Analysis / 26 \\
2.2.2. The General Formula for Error Propagation;
Maximum Error and Standard Error / 29 \\
2.2.3. On the Practical Application of Error Estimation
/ 34 \\
2.2.4. The Use of Experimental Perturbations / 36 \\
2.2.5. Automatic Control of Accuracy / 37 \\
2.3. Number Systems; Floating and Fixed Representation
/ 42 \\
2.3.1. The Position System / 42 \\
2.3.2. Floating and Fixed Representation / 43 \\
2.3.3. Floating Decimal Point / 44 \\
2.3.4. Fixed Decimal Point / 46 \\
2.3.5. Round-off Errors in Computation with Floating
Arithmetic Operations / 46 \\
2.4. Backward Error Analysis; Condition Numbers / 51
\\
2.4.1. Backward Error Analysis / 51 \\
2.4.2. Condition Numbers for Problems and Algorithms /
53 \\
2.4.3. Geometrical Illustration of Error Analysis / 56
\\
3: Numerical Uses of Series / 60 \\
3.1. Elementary Uses of Series / 60 \\
3.1.1. Simple Examples / 60 \\
3.1.2. Estimating the Remainder / 62 \\
3.1.3. Power Series / 65 \\
3.2. Acceleration of Convergence / 71 \\
3.2.1. Slowly Converging Alternating Series / 71 \\
3.2.2. Slowly Converging Series with Positive Terms /
73 \\
3.2.3. Other Simple Ways to Accelerate Convergence / 74
\\
3.2.4. Ill-Conditioned Series / 75 \\
3.2.5. Numerical Use of Divergent Series / 77 \\
4: Approximation of Functions / 81 \\
4.1. Basic Concepts in Approximation / 81 \\
4.1.1. Introduction / 81 \\
4.1.2. The Idea of a Function Space / 84 \\
4.1.3. Norms and Seminorms / 85 \\
4.1.4. Approximation of Functions as a Geometric
Problem in Function Space / 87 \\
4.2. The Approximation of Functions by the Method of
Least Squares / 88 \\
4.2.t. Statement of the Problems / 88 \\
4.2.2. Orthogonal Systems / 89 \\
4.2.3. Solution of the Approximation Problem / 92 \\
4.3. Polynomials / 97 \\
4.3.1. Basic Terminology; the Weierstrass Approximation
Theorem / 97 \\
4.3.2. Triangle Families of Polynomials / 98 \\
4.3.3. A Triangle Family and Its Application to
Interpolation / 99 \\
4.3.4. Equidistant Interpolation and the Runge
Phenomenon / 101 \\
4.4. Orthogonal Polynomials and Applications / 104 \\
4.4.1. Tchebycheff Polynomials / 104 \\
4.4.2. Tchebycheff Interpolation and Smoothing / 106
\\
4.4.3. General Theory of Orthogonal Polynomials / 108
\\
4.4.4. Legendre Polynomials and Gram Polynomials / 113
\\
4.5. Complementary Observations on Polynomial
Approximation / 117 \\
4.5.1. Summary of the Use of Polynomials / 117 \\
4.5.2. Some Inequalities for $E_n(f)$ with Applications
to the Computation of Linear Functionals / 120 \\
4.5.3. Approximation in the Maximum Norm / 124 \\
4.5.4. Economization of Power Series; Standard
Functions / 125 \\
4.5.5. Some Statistical Aspects of the Method of Least
Squares / 126 \\
4.6. Spline Functions / 131 \\
5: Numerical Linear Algebra / 137 \\
5,1. Introduction / 137 \\
5.2. Basic Concepts of Linear Algebra / 138 \\
5.2.1. Fundamental Definitions / 138 \\
5.2.2. Partitioned Matrices / 140 \\
5.2.3. Linear Vector Spaces / 141 \\
5.2.4. Eigenvalues and Similarity Transformations / 142
\\
5.2.5. Singular-Value Decomposition and Pseudo-Inverse
/ 143 \\
5.3. Direct Methods for Solving Systems of Linear
Equations / 146 \\
5.3.1. Triangular Systems / 146 \\
5.3.2. Gaussian Elimination / 147 \\
5.3.3. Pivoting Strategies / 150 \\
5.3.4. $L U$-Decomposition / 152 \\
5.3.5. Compact Schemes for Gaussian Elimination / 157
\\
5.3.6. Inverse Matrices / 159 \\
5.4. Special Matrices / 162 \\
5.4.1. Symmetric Positive-Definite Matrices / 162 \\
5.4.2. Band Matrices / 165 \\
5.4.3. Large-Scale Linear Systems / 168 \\
5.4.4. Other Sparse Matrices / 169 \\
5.5. Error Analysis for Linear Systems / 174 \\
5.5.1. An Ill-Conditioned Example / 174 \\
5.5.2. Vector and Matrix Norms / 175 \\
5.5.3. Perturbation Analysis / 176 \\
5.5.4. Rounding Errors in Gaussian Elimination / 177
\\
5.5.5. Scaling of Linear Systems / 181 \\
5.5.6. Iterative Improvement of a Solution / 183 \\
5.6. Iterative Methods / 188 \\
5.7. Overdetermined Linear Systems / 196 \\
5.7.1. The Normal Equations / 197 \\
5.7.2. Orthogonalization Methods / 201 \\
5.7.3. Improvement of Least-Squares Solutions / 204 \\
5.7.4. Least-Squares Problems with Linear Constraints /
205 \\
5.8. Computation of Eigenvalues and Eigenvectors / 208
\\
5.8.1. The Power Method / 209 \\
5.8.2. Methods Based on Similarity Transformations /
211 \\
5.8.3. Eigenvalues by Equation Solving / 215 \\
5.8.4. The $Q R$-Algorithm / 216 \\
6: Nonlinear Equations / 218 \\
6.1. Introduction / 218 \\
6.2. Initial Approximations; Starting Methods / 219 \\
6.2.1. Introduction / 219 \\
6.2.2. The Bisection Method / 220 \\
6.3. Newton--Raphson's Method / 222 \\
6.4. The Secant Method / 227 \\
6.4.1. Description of the Method / 227 \\
6.4.2. Error Analysis for the Secant Method / 228 \\
6.4.3. Regula Falsi / 230 \\
6.4.4. Other Related Methods / 230 \\
6.5. General Theory of Iteration Methods / 233 \\
6.6. Error Estimation and Attainable Accuracy in
Iteration Methods / 238 \\
6.6.1. Error Estimation / 238 \\
6.6.2. Attainable Accuracy; Termination Criteria / 240
\\
6.7. Multiple Roots / 242 \\
6.8. Algebraic Equations / 243 \\
6.8.1. Introduction / 243 \\
6.8.2. Deflation / 245 \\
6.8.3. Ill-Conditioned Algebraic Equations / 246 \\
6.9. Systems of Nonlinear Equations / 248 \\
6.9.1. Iteration / 249 \\
6.9.2. Newton--Raphson's Method and Some Modifications
/ 249 \\
6.9.3. Other Methods / 251 \\
7: Finite Differences with Applications to Numerical
Integration, Differentiation, and Interpolation / 255
\\
7.1. Difference Operators and Their Simplest Properties
/ 255 \\
7.2. Simple Methods for Deriving Approximation Formulas
and Error Estimates / 263 \\
7.2.1. Statement of the Problems and Some Typical
Examples / 263 \\
7.2.2, Repeated Richardson Extrapolation / 269 \\
7.3. Interpolation / 275 \\
7.3.1. Introduction / 275 \\
7.3.2. When is Linear Interpolation Sufficient? / 276
\\
7.3.3. Newton's General Interpolation Formula / 277 \\
7.3.4. Formulas for Equidistant Interpolation / 279 \\
7.3.5. Complementary Remarks on Interpolation / 282 \\
7.3.6. Lagrange's Interpolation Formula / 284 \\
7.3.7. Hermite Interpolation / 285 \\
7.3.8. Inverse Interpolation / 286 \\
7.4. Numerical Integration / 290 \\
7.4.1. The Rectangle Rule, Trapezoidal Rule, and
Romberg's Method / 291 \\
7.4.2. The Truncation Error of the Trapezoidal Rule /
293 \\
7.4.3. Some Difficulties and Possibilities in Numerical
Integration / 294 \\
7.4.4. The Euler--Maclaurin Summation Formula / 297 \\
7.4.5. Uses of the Euler--Maclaurin Formula / 300 \\
7.4.6. Other Methods for Numerical Integration / 302
\\
7.5. Numerical Differentiation / 307 \\
7.6. The Calculus of Operators / 311 \\
7.6.1. Operator Algebra / 311 \\
7.6.2. Operator Series with Applications / 312 \\
7.7. Functions of Several Variables / 318 \\
7.7.1. Working with One Variable at a Time / 319 \\
7.7.2. Rectangular Grids / 319 \\
7.7.3. Irregular Triangular Grids / 322 \\
8: Differential Equations / 330 \\
8.1. Theoretical Background / 330 \\
8.1.1. Initial-Value Problems for Ordinary Differential
Equations / 330 \\
8.1.2. Error Propagation / 333 \\
8.1.3. Other Differential Equation Problems / 337 \\
8.2. Euler's Method, with Repeated Richardson
Extrapolation / 338 \\
8.3. Other Methods for Initial-Value Problems in
Ordinary Differential Equations / 342 \\
8.3.1. The Modified Midpoint Method / 342 \\
8.3.2. The Power-Series Method / 345 \\
8.3.3. Runge--Kutta Methods / 346 \\
8.3.4. Implicit Methods / 347 \\
8.3.5. Stiff Problems / 349 \\
8.3.6. Control of Step Size / 350 \\
8.3.7. A Finite-Difference Method for a Second-Order
Equation / 352 \\
8.4. Orientation on Boundary and Eigenvalue Problems
for Ordinary Differential Equations / 359 \\
8.4.1. Introduction / 359 \\
8.4.2. The Shooting Method / 359 \\
8.4.3. The Band Matrix Method / 361 \\
8.4.4. Numerical Example of an Eigenvalue Problem / 363
\\
8.5. Difference Equations / 367 \\
8.5.1. Homogeneous Linear Difference Equations with
Constant Coefficients / 368 \\
8.5.2. General Linear Difference Equations / 370 \\
8.5.3. Analysis of a Numerical Method with the Help of
a Test Problem / 372 \\
8.5.4. Linear Multistep Methods / 375 \\
8.6. Partial Differential Equations / 383 \\
8.6.1. Introduction / 383 \\
8.6.2. An Example of an Initial-Value Problem / 384 \\
8.6.3. An Example of a Boundary-Value Problem / 389 \\
8.6.4. Methods of Undetermined Coefficients and
Variational Methods / 392 \\
8.6.5. Finite-Element Methods / 395 \\
8.6.6. Integral Equations / 397 \\
9: Fourier Methods / 405 \\
9.1. Introduction / 405 \\
9.2. Basic Formulas and Theorems in Fourier Analysis /
406 \\
9.2.1. Functions of One Variable / 406 \\
9.2.2. Functions of Several Variables / 411 \\
9.3. Fast Fourier Analysis / 413 \\
9.3.1. An Important Special Case / 413 \\
9.3.2. Fast Fourier Analysis, General Case / 414 \\
9.4. Periodic Continuation of a Nonperiodic Function /
417 \\
9.5. The Fourier Integral Theorem / 419 \\
10: Optimization / 422 \\
10.1. Statement of the Problem, Definitions, and Normal
Form / 422 \\
10.2. The Simplex Method / 426 \\
10.3. Duality / 435 \\
10.4. The Transportation Problem and Some Other
Optimization Problems / 436 \\
10.5. Nonlinear Optimization Problems / 438 \\
10.5.1. Basic Concepts and Introductory Examples / 438
\\
10.5.2. Line Search / 440 \\
10.5.3. Algorithms for Unconstrained Optimization / 441
\\
10.5.4. Overdetermined Nonlinear Systems / 443 \\
10.5.5. Constrained Optimization / 444 \\
11: The Monte Carlo Method and Simulation / 448 \\
11.1. Introduction / 448 \\
11.2. Random Digits and Random Numbers / 449 \\
11.3. Applications; Reduction of Variance / 455 \\
11.4. Pseudorandom Numbers / 463 \\
12: Solutions to Problems / 465 \\
13: Bibliography and Published Algorithms / 536 \\
13.1. Introduction / 536 \\
13.2. General Literature in Numerical Analysis / 536
\\
13.3. Tables, Collections of Formulas, and Problems /
539 \\
13.4. Error Analysis and Approximation of Functions /
540 \\
13.5. Linear Algebra and Nonlinear Systems of Equations
/ 541 \\
13.6. Interpolation, Numerical Integration, and
Numerical Treatment of Differential Equations / 543 \\
13.7. Optimization; Simulation / 545 \\
13.8. Reviews, Abstracts and Other Periodicals / 547
\\
13.9. Survey of Published Algorithms / 548 \\
Index by Subject to Algorithms, 1960--1970 / 548 \\
Appendix Tables / 563 \\
Index / 565",
}
@Book{Daniel:1980:FED,
author = "C. Daniel and F. S. Wood",
title = "Fitting Equations to Data",
publisher = pub-WILEY,
address = pub-WILEY:adr,
edition = "Second",
pages = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Daniel:1976:RSA,
author = "J. W. Daniel and W. B. Gragg and L. Kaufman and G. W.
Stewart",
title = "Reorthogonalization and Stable Algorithms for Updating
the {Gram--Schmidt QR} Factorization",
journal = j-MATH-COMP,
volume = "30",
number = "136",
pages = "772--795",
year = "1976",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Tue Jan 3 21:35:57 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Daniel:1983:CUN,
author = "R. W. Daniel and B. Kouvaritakis",
title = "The choice and use of normal matrix approximations to
transfer-function matrices of multivariable control
systems",
journal = j-INT-J-CTL,
volume = "37",
pages = "1121--1133",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Daniel:1984:ADL,
author = "R. W. Daniel and B. Kouvaritakis",
title = "Analysis and design of linear multivariable feedback
systems in the presence of additive perturbations",
journal = j-INT-J-CTL,
volume = "39",
pages = "551--580",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Danloy:1976:CSH,
author = "B. Danloy",
title = "On the Choice of Signs for {Householder}'s Matrices",
journal = j-JCAM,
volume = "2",
number = "1",
pages = "67--69",
year = "1976",
bibdate = "Wed Nov 23 21:02:06 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dantzig:1984:RAO,
author = "George B. Dantzig",
title = "Reminiscences About the Origins of Linear
Programming",
journal = j-MEM-AMS,
volume = "48",
number = "298",
pages = "1--11",
year = "1984",
CODEN = "MAMCAU",
ISSN = "0065-9266 (print), 1947-6221 (electronic)",
ISSN-L = "0065-9266",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Memoirs of the American Mathematical Society",
}
@TechReport{Dantzig:1987:OSM,
author = "G. B. Dantzig",
title = "Origins of the simplex method",
institution = "Technical Report SOL 87-5, Department of Operations
Research, Stanford University",
address = "????",
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "May",
}
@TechReport{Datardina:1990:PSB,
author = "S. P. Datardina and J. J. Du Croz and S. J. Hammarling
and M. W. Pont",
title = "A Proposed Specification of {BLAS} Routines in {C}",
type = "Technical Report",
number = "TR6/90",
institution = "NAG Ltd.",
address = "Oxford",
pages = "????",
month = dec,
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Datta:1989:PLS,
author = "B. N. Datta",
title = "Parallel and large-scale matrix computations in
control: {Some} ideas",
journal = j-LAA,
volume = "121",
pages = "243--264",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Proceedings{Datta:1985:LAR,
editor = "B. N. Datta",
title = "Linear Algebra and its Role in Systems Theory",
volume = "47",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "????",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Contemporary Math.",
}
@Article{Datta:1987:AAE,
author = "B. N. Datta",
title = "An Algorithm to Assign Eigenvalues in a {Hessenberg}
Matrix: {Single} Input Case",
journal = j-IEEE-AC,
volume = "AC-32",
number = "5",
pages = "414--417",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Datta:1988:MEAa,
author = "Karabi Datta",
title = "The Matrix Equation {$XA-BX=R$} and Its Applications",
journal = j-LAA,
volume = "109",
pages = "91--105",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Datta:1986:TCA,
author = "B. N. Datta and K. Datta",
editor = "C. I. Byrnes and A. Lindquist",
booktitle = "Computational and Combinatorial Methods in Systems
Theory",
title = "Theoretical and Computational Aspects of Some Linear
Algebra Problems in Control Theory",
publisher = pub-ELS-NH,
address = pub-ELS-NH:adr,
pages = "201--212",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Byrnes:1986:CCM",
}
@Article{Datta:1988:MEAb,
author = "B. N. Datta and K. Datta",
title = "The matrix equation {$XA=A^TX$} and an associated
algorithm for solving the inertia and stability
problems",
journal = j-LAA,
volume = "97",
pages = "103--119",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Daubechies:1986:PNE,
author = "Ingrid Daubechies and A. Grossmann and Y. Meyer",
title = "Painless Nonorthogonal Expansions",
journal = j-J-MATH-PHYS,
volume = "27",
number = "5",
pages = "1271--1283",
year = "1986",
CODEN = "JMAPAQ",
ISSN = "0022-2488",
ISSN-L = "0022-2488",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Mathematical Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Daubechies:1992:SMA,
author = "I. Daubechies and J. C. Lagarias",
title = "Sets of Matrices all Infinite Products of Which
Converge",
journal = j-LAA,
volume = "161",
pages = "227--263",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Davenport:1986:SNM,
author = "J. H. Davenport",
editor = "Willard L. Miranker and Richard A. Toupin",
booktitle = "Accurate Scientific Computations, Proceedings, 1985",
title = "Symbolic and Numeric Manipulation of Integrals",
volume = "235",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "168--180",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
mycrossref = "Miranker:1986:ASC",
}
@Article{Davies:1986:DMC,
author = "Roy O. Davies and J. J. Modi",
title = "A Direct Method for Completing Eigenproblem Solutions
on a Parallel Computer",
journal = j-LAA,
volume = "77",
pages = "61--74",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Davies:1985:LCF,
author = "E. B. Davies",
title = "Lipschitz Continuity of Functions of Operators in the
{Schatten} Classes",
journal = j-J-LONDON-MATH-SOC,
volume = "37",
number = "2",
pages = "148--157",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Re. perturbation of polar factor H.",
}
@Article{Davis:1973:EFC,
author = "C. Davis",
title = "Explicit functional calculus",
journal = j-LAA,
volume = "6",
pages = "193--199",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "f(triangular)",
}
@Article{Davis:1970:REP,
author = "Chandler Davis and W. M. Kahan",
title = "The Rotation of Eigenvectors By a Perturbation.
{III}",
journal = j-SINUM,
volume = "7",
number = "1",
pages = "1--46",
year = "1970",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Davis:1982:NPD,
author = "Chandler Davis and W. M. Kahan and H. F. Weinberger",
title = "Norm-Preserving Dilations and their Applications to
Optimal Error Bounds",
journal = j-SINUM,
volume = "19",
number = "3",
pages = "445--469",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Davis:1981:NSQ,
author = "G. J. Davis",
title = "Numerical solution of a quadratic matrix equation",
journal = j-SISSC,
volume = "2",
pages = "164--175",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Davis:1983:AAC,
author = "G. J. Davis",
title = "Algorithm 598: {An} algorithm to compute solvents of
the matrix equation {$AX^2 + BX + C = 0$}",
journal = j-TOMS,
volume = "9",
pages = "246--254",
year = "1983",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Davis:1978:SME,
author = "G. J. Davis and C. B. Moler",
title = "Sensitivity of matrix eigenvalues",
journal = j-INT-J-NUM-METH-ENG,
volume = "12",
pages = "1367--1373",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Davis:1979:CM,
author = "Philip J. Davis",
title = "Circulant Matrices",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xv + 250",
year = "1979",
ISBN = "0-471-05771-1",
ISBN-13 = "978-0-471-05771-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Davis:1993:STC,
author = "Philip J. Davis",
title = "Spirals from {Theodorus} to Chaos",
publisher = pub-A-K-PETERS,
address = pub-A-K-PETERS:adr,
pages = "????",
year = "1993",
ISBN = "1-56881-010-5",
ISBN-13 = "978-1-56881-010-2",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "With contributions by Walter Gautschi and Arieh
Iserles",
}
@Book{Davis:1984:MNI,
author = "Philip J. Davis and Philip Rabinowitz",
title = "Methods of Numerical Integration",
publisher = pub-AP,
address = pub-AP:adr-L,
edition = "Second",
pages = "xiv + 612",
year = "1984",
ISBN = "0-12-206360-0",
ISBN-13 = "978-0-12-206360-2",
bibdate = "Sun Jan 22 15:31:15 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dax:1982:PPS,
author = "Achiya Dax",
title = "Partial Pivoting Strategies for Symmetric {Gaussian}
Elimination",
journal = j-MATH-PROG,
volume = "22",
pages = "288--303",
year = "1982",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Mon Aug 21 09:48:41 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Dax:1990:CLS,
author = "Achiya Dax",
title = "The Convergence of Linear Stationary Iterative
Processes for Solving Singular Unstructured Systems of
Linear Equations",
journal = j-SIREV,
volume = "32",
number = "4",
pages = "611--635",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dax:1990:LSA,
author = "Achiya Dax",
title = "Line Search Acceleration of Iterative Methods",
journal = j-LAA,
volume = "130",
pages = "43--63",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dax:1990:HAL,
author = "Achiya Dax",
title = "On Hybrid Acceleration of a Linear Stationary
Iterative Process",
journal = j-LAA,
volume = "130",
pages = "99--110",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dax:1977:PTS,
author = "Achiya Dax and S. Kaniel",
title = "Pivoting Techniques for Symmetric {Gaussian}
Elimination",
journal = j-NUM-MATH,
volume = "28",
pages = "221--241",
year = "1977",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sat Apr 8 10:29:23 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Dax:1981:EMC,
author = "A. Dax and S. Kaniel",
title = "The {ELR} method for computing the eigenvalues of a
general matrix",
journal = j-SINUM,
volume = "18",
pages = "597--605",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Reduction to tridiagonal form by elimination.",
}
@Article{Day:1988:GGE,
author = "Jane M. Day and Brian Peterson",
title = "Growth in {Gaussian} Elimination",
journal = j-AMM,
volume = "95",
number = "6",
pages = "489--513",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "June/July issue",
}
@Article{Dayde:1989:ULB,
author = "M. J. Dayd\'e and I. S. Duff",
title = "Use of Level 3 {BLAS} in {$LU$} factorization on the
{CRAY-2}, the {ETA-10P}, and the {IBM 3090/VF}",
journal = j-IJSA,
volume = "3",
pages = "40--70",
year = "1989",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
mynote = "Harwell CSS 229, 1988. Same paper in same journal
1991, vol 5, no. 3???",
}
@TechReport{Dayde:1990:ULB,
author = "M. J. Dayd\'e and I. S. Duff",
title = "Use of Level 3 {BLAS} in ${LU}$ factorization in a
multiprocessing environment on three vector
multiprocessors: the {ALLIANT FX}\slash 80",
institution = "the CRAY-2, and the IBM 3090 VF Report RAL-90-083,
Rutherford Appleton Laboratory, Didcot, Oxon",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Boor:1972:CS,
author = "Carl de Boor",
title = "On Calculating with {B}-Splines",
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pages = "50--62",
year = "1972",
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author = "C. de Boor and H.-O. Kreiss",
title = "On the Condition of the Linear Systems Associated with
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number = "5",
pages = "936--939",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
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author = "Carl de Boor and Allan Pinkus",
title = "Backward Error Analysis for Totally Positive Linear
Systems",
journal = j-NUM-MATH,
volume = "27",
pages = "485--490",
year = "1977",
CODEN = "NUMMA7",
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ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
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author = "Bart De Moor and Johan David",
title = "Total Linear Least Squares and the Algebraic {Riccati}
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@Article{Moor:1991:RSV,
author = "B. L. R. De Moor and G. H. Golub",
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{Properties} and applications",
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volume = "12",
pages = "401--425",
year = "1991",
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mynote = "Stanford report NA-89-03, April 1989.",
}
@Article{Moor:1991:TGO,
author = "B. L. R. De Moor and H. Zha",
title = "A tree of generalizations of the ordinary singular
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journal = j-LAA,
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pages = "469--500",
year = "1991",
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}
@Unpublished{Moor:1989:GSV,
author = "B. L. R. De Moor and G. H. Golub",
title = "Generalized singular value decompositions: {A}
proposal for a standardized nomenclature",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
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@Article{Oliveira:1969:CSM,
author = "G. N. de Oliveira",
title = "On a certain system of matrix equations",
journal = j-SIREV,
volume = "11",
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bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Find unitary U with real(U)=A. Gives N/S conds and
construction.",
}
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author = "C. R. DePrima and C. R. Johnson",
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volume = "9",
pages = "209--222",
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@Book{Deif:1986:SAL,
author = "A. Deif",
title = "Sensitivity Analysis in Linear Systems",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Quirky. Good set of refs. Nothing new.",
}
@Article{Deif:1990:RPP,
author = "A. S. Deif",
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Computed Eigenvalues",
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author = "A. Deif and J. Rohn",
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Eigenvectors Under Perturbation",
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year = "1994",
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author = "Percy Deift and James W. Demmel and Luen-Chau Li and
Carlos Tomei",
title = "The Bidiagonal Singular Value Decomposition and
{Hamiltonian} Mechanics",
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volume = "28",
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year = "1991",
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mynote = "Aug 89, ANL/MCS-TM-133, LAPACK W'Note 11.",
}
@InCollection{Dekker:1969:FZM,
author = "T. J. Dekker",
editor = "Bruno Dejon and Peter Henrici",
booktitle = "Constructive Aspects of the Fundamental Theorem of
Algebra",
title = "Finding a Zero by Means of Successive Linear
Interpolation",
publisher = pub-WI,
address = pub-WI:adr,
pages = "37--48",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dekker:1971:FPT,
author = "T. J. Dekker",
title = "A Floating-Point Technique for Extending the Available
Precision",
journal = j-NUM-MATH,
volume = "18",
pages = "224--242",
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Dekker:1982:PCM,
author = "T. J. Dekker",
editor = "Paul C. Messina and Almerico Murli",
booktitle = "Problems and Methodologies in Mathematical Software
Production",
title = "Program Correctness and Machine Arithmetic",
volume = "142",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "48--80",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@Article{Dekker:1989:RGJ,
author = "T. J. Dekker and W. Hoffmann",
title = "Rehabilitation of the {Gauss--Jordan} Algorithm",
journal = j-NUM-MATH,
volume = "54",
pages = "591--599",
year = "1989",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Dekker:1994:PAS,
author = "T. J. Dekker and W. Hoffmann and K. Potma",
title = "Parallel Algorithms for Solving Large Linear Systems",
journal = j-JCAM,
volume = "50",
pages = "221--232",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Delosme:1986:PSS,
author = "J.-M. Delosme and I. C. F. Ipsen",
title = "Parallel solution of symmetric positive definite
systems with hyperbolic rotations",
journal = j-LAA,
volume = "77",
pages = "75--111",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Delsarte:1980:MMI,
author = "P. Delsarte and Y. Genin and Y. Kamp",
title = "A method of matrix inverse triangular decomposition
based on contiguous principal submatrices",
journal = j-LAA,
volume = "31",
pages = "199--212",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demeure:1989:FFV,
author = "C{\'e}dric J. Demeure",
title = "Fast {$QR$} Factorization of {Vandermonde} Matrices",
journal = j-LAA,
volume = "122/3/4",
pages = "165--194",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demeure:1990:FCV,
author = "C{\'e}dric J. Demeure",
title = "{$QR$} Factorization of Confluent {Vandermonde}
Matrices",
journal = j-IEEE-TRANS-ACOUST-SPEECH,
volume = "38",
number = "10",
pages = "1799--1802",
year = "1990",
CODEN = "IETABA",
ISSN = "0096-3518",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Acoustics, Speech, and Signal Processing",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29",
}
@InProceedings{Demeure:1989:FLS,
author = "C{\'e}dric J. Demeure and Louis L. Scharf",
booktitle = "Proceedings of the {IEEE} International Conference on
Acoustics, Speech and Signal Processing, May 1989,
Glasgow",
title = "Fast Least Squares Solution of {Vandermonde} Systems
of Equations",
volume = "4",
publisher = "????",
address = "????",
pages = "2198--2201",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "IEEE89",
}
@Article{Demko:1977:IBM,
author = "Stephen Demko",
title = "Inverses of Band Matrices and Local Convergence of
Spline Projections",
journal = j-SINUM,
volume = "14",
number = "4",
pages = "616--619",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demko:1979:BB,
author = "Stephen Demko",
title = "On Bounding {$\|A^{-1}\|_\infty$} for Banded {$A$}",
journal = j-MATH-COMP,
volume = "33",
number = "148",
pages = "1283--1288",
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demko:1984:DRI,
author = "Stephen Demko and William F. Moss and Philip W.
Smith",
title = "Decay Rates for Inverses of Band Matrices",
journal = j-MATH-COMP,
volume = "43",
number = "168",
pages = "491--499",
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1983:CNE,
author = "James W. Demmel",
title = "The Condition Number of Equivalence Transformations
that Block Diagonalize Matrix Pencils",
journal = j-SINUM,
volume = "20",
number = "3",
pages = "599--610",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1984:URN,
author = "James W. Demmel",
title = "Underflow and the Reliability of Numerical Software",
journal = j-SISSC,
volume = "5",
number = "4",
pages = "887--919",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1987:CND,
author = "James W. Demmel",
title = "On Condition Numbers and the Distance to the Nearest
Ill-Posed Problem",
journal = j-NUM-MATH,
volume = "51",
pages = "251--289",
year = "1987",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Demmel:1987:SPS,
author = "J. W. Demmel",
title = "The smallest perturbation of a submatrix which lowers
the rank and constrained total least squares problems",
journal = j-SINUM,
volume = "24",
pages = "199--206",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Demmel:1987:EAA,
author = "James W. Demmel",
editor = "Mary Jane Irwin and Renato Stefanelli",
booktitle = "Proceedings of the Eighth Symposium on Computer
Arithmetic, Como, Italy",
title = "On Error Analysis in Arithmetic With Varying Relative
Precision",
publisher = "IEEE Computer Society",
address = "Washington, DC",
pages = "148--152",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1987:TMR,
author = "James W. Demmel",
title = "Three Methods for Refining Estimates of Invariant
Subspaces",
journal = j-COMPUTING,
volume = "38",
pages = "43--57",
year = "1987",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Demmel:1987:CTC,
author = "James W. Demmel",
title = "A Counterexample for Two Conjectures About Stability",
journal = j-IEEE-AC,
volume = "AC-32",
number = "4",
pages = "340--342",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1988:SSV,
author = "J. W. Demmel",
title = "On structured singular values",
institution = "Technical Report No. 349, Computer Science Department,
Courant Institute of Mathematical Sciences, New York",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Mar",
}
@Article{Demmel:1988:PNA,
author = "J. W. Demmel",
title = "The probability that a numerical analysis problem is
difficult",
journal = j-MATH-COMP,
volume = "50",
pages = "449--480",
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Rep. 294, Courant, April 1987",
}
@TechReport{Demmel:1989:FPE,
author = "James W. Demmel",
title = "On Floating Point Errors in {Cholesky}",
type = "Technical Report",
number = "CS-89-87",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "6",
month = oct,
year = "1989",
bibdate = "Fri Apr 7 10:38:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 14",
}
@InProceedings{Demmel:1990:NDM,
author = "J. W. Demmel",
editor = "M. G. Cox and S. J. Hammarling",
booktitle = "Reliable Numerical Computation",
title = "Nearest Defective Matrices and the Geometry of
Ill-conditioning",
publisher = pub-OXFORD,
pages = "35--55",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cox:1990:RNC",
}
@Article{Demmel:1991:OIA,
author = "James W. Demmel",
title = "On the Odor of {IEEE} Arithmetic",
journal = j-NA-DIGEST,
volume = "91",
number = "39",
pages = "??--??",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "(Response to a message ``IEEE Arithmetic Stinks'' in
Volume 91, Issue 33). Electronic mail magazine:
\path|na.help@na-net.ornl.gov|",
fjournal = "NA Digest",
mynote = "Sunday, September 29, 1991",
}
@Article{Demmel:1992:CDN,
author = "James W. Demmel",
title = "The Componentwise Distance to the Nearest Singular
Matrix",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "10--19",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1992:III,
author = "J. W. Demmel",
title = "The Inherent Inaccuracy of Implicit Tridiagonal {QR}",
type = "IMA Preprint Series",
number = "\# 963",
institution = inst-IMA,
address = inst-IMA:adr,
pages = "????",
month = apr,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1992:SRP,
author = "J. W. Demmel",
title = "Specifications for Robust Parallel Prefix Operations",
institution = "Thinking Machine Corp.",
address = "Boston",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1992:OPN,
author = "James W. Demmel",
title = "Open Problems in Numerical Linear Algebra",
type = "IMA Preprint Series",
number = "\#961",
institution = inst-IMA,
address = inst-IMA:adr,
pages = "21",
month = apr,
year = "1992",
bibdate = "Mon Feb 20 20:22:38 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 47",
}
@TechReport{Demmel:1992:SFP,
author = "James W. Demmel",
title = "A Specification for Floating Point Parallel Prefix",
type = "Technical Report",
number = "CS-92-167",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "8",
month = jul,
year = "1992",
bibdate = "Fri Feb 24 12:12:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 49",
}
@InProceedings{Demmel:1993:TPN,
author = "James W. Demmel",
editor = "Marc S. Moonen and Gene H. Golub and Bart L. De Moor",
booktitle = "Linear Algebra for Large Scale and Real-Time
Applications",
title = "Trading Off Parallelism and Numerical Stability",
volume = "232",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "49--68",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "NATO ASI Series E",
}
@Book{Demmel:1993:NLA,
author = "James W. Demmel",
title = "Numerical Linear Algebra",
volume = "1",
publisher = "Mathematics Department, University of California at
Berkeley",
address = "Berkeley, CA, USA",
pages = "????",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Berkeley Lecture Notes in Mathematics",
}
@TechReport{Demmel:1994:CPB,
author = "James W. Demmel and Inderjit Dhillon and Huan Ren",
title = "On the Correctness of Parallel Bisection in Floating
Point",
type = "Technical Report",
number = "CS-94-228",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "38",
month = mar,
year = "1994",
bibdate = "Sat Feb 18 15:18:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 70",
}
@InProceedings{Demmel:1992:DPH,
author = "James W. Demmel and J. J. Dongarra and W. Kahan",
editor = "D. F. Griffiths and G. A. Watson",
booktitle = "Numerical Analysis 1991, Proceedings of the 14th
Dundee Conference",
title = "On Designing Portable High Performance Numerical
Libraries",
volume = "260",
publisher = pub-LONGMAN-ST,
address = pub-LONGMAN-ST:adr,
pages = "69--84",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Pitman Research Notes in Mathematics",
}
@TechReport{Demmel:1987:PDL,
author = "J. W. Demmel and J. J. Dongarra and J. J. Du Croz and
A. Greenbaum and S. J. Hammarling and D. C. Sorensen",
title = "Prospectus for the Development of a Linear Algebra
Library for High-Performance Computers",
type = "Technical Memorandum",
number = "No. 97",
institution = inst-MCS-Argonne,
address = inst-MCS-Argonne:adr,
pages = "????",
month = sep,
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1988:GDS,
author = "J. W. Demmel and J. J. Du Croz and S. J. Hammarling
and D. C. Sorensen",
title = "Guidelines for the design of symmetric eigenroutines,
{SVD}, and iterative refinement and condition
estimation for linear systems",
institution = "LAPACK Working Note \#4, Technical Memorandum 111,
Mathematics and Computer Science Division, Argonne
National Laboratory",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Feb",
}
@Article{Demmel:1993:CAS,
author = "James W. Demmel and William Gragg",
title = "On Computing Accurate Singular Values and Eigenvalues
of Matrices with Acyclic Graphs",
journal = j-LAA,
volume = "185",
pages = "203--217",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1992:PNL,
author = "James W. Demmel and Michael T. Heath and Henk A. van
der Vorst",
title = "Parallel Numerical Linear Algebra",
type = "Technical Report",
number = "UCB/CSD-92-703",
institution = "Computer Science Division, University of California,
Berkeley",
address = "????",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear in Acta Numerica, Cambridge University
Press",
}
@InCollection{Demmel:1993:PNL,
author = "James W. Demmel and Michael T. Heath and Henk A. van
der Vorst",
booktitle = "Acta Numerica",
title = "Parallel Numerical Linear Algebra",
publisher = pub-CUP,
pages = "111--198",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1990:ASV,
author = "James W. Demmel and W. Kahan",
title = "Accurate Singular Values of Bidiagonal Matrices",
journal = j-SISSC,
volume = "11",
number = "5",
pages = "873--912",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "LAPACK Working Note \#3, Tech. Memo. 110, Argonne, Feb
1988",
}
@Article{Demmel:1987:CSE,
author = "James W. Demmel and Bo K{\aa}gstr{\"o}m",
title = "Computing Stable Eigendecompositions of Matrix
Pencils",
journal = j-LAA,
volume = "88/89",
pages = "139--186",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1988:ASI,
author = "James W. Demmel and Bo K{\aa}gstr{\"o}m",
title = "Accurate Solutions of Ill-Posed Problems in Control
Theory",
journal = j-SIMAX,
volume = "9",
number = "1",
pages = "126--145",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Demmel:1993:GSDa,
author = "J. W. Demmel and B. K{\aa}gstr{\"o}m",
title = "The Generalized {Schur} Decomposition of an Arbitrary
Pencil {$A-\lambda B$}: {Robust} Software With Error
Bounds and Applications. {Part I: Theory and
Algorithms}",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "160--174",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Demmel:1993:GSDb,
author = "J. W. Demmel and B. K{\aa}gstr{\"o}m",
title = "The Generalized {Schur} Decomposition of an Arbitrary
Pencil {$A-\lambda B$}: {Robust} Software With Error
Bounds and Applications. {Part II: Software and
Applications}",
journal = j-TOMS,
volume = "19",
number = "2",
pages = "175--201",
year = "1993",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Demmel:1985:IAS,
author = "James W. Demmel and F. Kr{\"u}ckeberg",
title = "An Interval Algorithm for Solving Systems of Linear
Equations to Prespecified Accuracy",
journal = j-COMPUTING,
volume = "34",
pages = "117--129",
year = "1985",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@TechReport{Demmel:1993:FNA,
author = "James W. Demmel and Xiaoye Li",
title = "Fast Numerical Algorithms via Exception Handling",
type = "LAPACK Working Note",
number = "\#59",
institution = "Department of Computer Science, University of
Tennessee",
address = "????",
pages = "????",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear in Proceedings of 11th IEEE Symposium on
Computer Arithmetic",
mynote = "CS-93-192, Aug",
}
@Article{Demmel:1994:FNA,
author = "James W. Demmel and Xiaoye Li",
title = "Faster Numerical Algorithms via Exception Handling",
journal = j-IEEE-C,
volume = "43",
number = "8",
pages = "983--992",
year = "1994",
bibdate = "Mon Mar 6 21:30:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Demmel:1989:TMG,
author = "James W. Demmel and A. McKenney",
title = "A Test Matrix Generation Suite",
type = "Preprint",
number = "MCS-P69-0389",
institution = inst-MCS-Argonne,
address = inst-MCS-Argonne:adr,
pages = "16",
month = mar,
year = "1989",
bibdate = "Wed Apr 12 09:15:02 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 9",
}
@Article{Demmel:1992:JMM,
author = "James W. Demmel and Kre\u{s}imir Veseli{\'c}",
title = "Jacobi's Method is More Accurate than {$QR$}",
journal = j-SIMAX,
volume = "13",
number = "4",
pages = "1204--1245",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "LAPACK Working Note \#15. Tennessee tech. rep., Oct,
CS-89-88.",
}
@Article{Denman:1981:RRM,
author = "Eugene D. Denman",
title = "Roots of Real Matrices",
journal = j-LAA,
volume = "36",
pages = "133--139",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Denman:1976:MSF,
author = "Eugene D. Denman and Alex N. {Beavers, Jr.}",
title = "The Matrix Sign Function and Computations in Systems",
journal = j-APPL-MATH-COMP,
volume = "2",
pages = "63--94",
year = "1976",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Denman:1981:SDM,
author = "E. D. Denman and J. Leyva-Ramos",
title = "Spectral decomposition of a matrix using the
generalized sign matrix",
journal = j-APPL-MATH-COMP,
volume = "8",
pages = "237--250",
year = "1981",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Denman:1985:CRR,
author = "E. D. Denman and J. Leyva-Ramos",
title = "Computation of Roots of Real and Complex Matrices",
journal = j-APPL-MATH-COMP,
volume = "16",
pages = "213--228",
year = "1985",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
}
@Article{Dennis:1984:UGN,
author = "J. E. {Dennis, Jr.}",
title = "A user's guide to nonlinear optimization algorithms",
journal = j-PROC-IEEE,
volume = "72",
pages = "1765--1776",
year = "1984",
CODEN = "IEEPAD",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
ISSN-L = "0018-9219",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Proceedings of the IEEE",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}
@Article{Dennis:1979:LCS,
author = "J. E. {Dennis, Jr.} and R. B. Schnabel",
title = "Least change secant updates for quasi-{Newton}
methods",
journal = j-SIREV,
volume = "21",
pages = "443--459",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dennis:1983:NMU,
author = "J. E. {Dennis, Jr.} and Robert B. Schnabel",
title = "Numerical Methods for Unconstrained Optimization and
Nonlinear Equations",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiii + 378",
year = "1983",
ISBN = "0-13-627216-9",
ISBN-13 = "978-0-13-627216-8",
bibdate = "Tue Mar 21 17:45:58 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dennis:1984:IQM,
author = "J. E. {Dennis, Jr.} and Homer F. Walker",
title = "Inaccuracy in Quasi-{Newton} Methods: {Local}
Improvement Theorems",
journal = j-MATH-PROG-STUDY,
volume = "22",
pages = "70--85",
year = "1984",
CODEN = "MPSTDF",
ISSN = "0303-3929",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming Study",
}
@Article{Dennis:1991:DSM,
author = "J. E. {Dennis, Jr.} and Virginia Torczon",
title = "Direct search methods on parallel machines",
journal = j-SIOPT,
volume = "1",
number = "4",
pages = "448--474",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Wouk:1987:OMN,
author = "John E. {Dennis, Jr.} and Daniel J. Woods",
editor = "Arthur Wouk",
booktitle = "New Computing Environments: {Microcomputers} in
Large-Scale Computing",
title = "Optimization on Microcomputers: {The Nelder--Mead}
Simplex Algorithm",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "116--122",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dent:1977:MCA,
author = "Warren T. Dent and David C. Cavander",
title = "More on Computational Accuracy in Regression",
journal = j-J-AMER-STAT-ASSOC,
volume = "72",
number = "359",
pages = "598--600",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Foll. by Comment by BRB, Rejoinder by DECA, article by
Espasa. Poor stuff!",
}
@Article{Descloux:1963:NRE,
author = "J. Descloux",
title = "Note on the Round-Off Errors in Iterative Processes",
journal = j-MATH-COMP,
volume = "17",
pages = "18--27",
year = "1963",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Thu Feb 16 09:55:03 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Descloux:1963:BSN,
author = "J. Descloux",
title = "Bounds for the spectral norm of functions of
matrices",
journal = j-NUM-MATH,
volume = "15",
pages = "185--190",
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "f(triangular)",
}
@Article{DeTurck:1989:YCH,
author = "Dennis DeTurck and Herman Gluck and Carolyn Gordon and
David Webb",
title = "You Can Not Hear the Mass of a Homology Class",
journal = j-COMMENT-MATH-HELV,
volume = "64",
pages = "589--617",
year = "1989",
CODEN = "COMHAX",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Commentarii Mathematici Helvetici (Zurich)",
journal-URL = "https://link.springer.com/journal/14",
}
@Article{Deuflhard:1980:RDP,
author = "P. Deuflhard and W. Sautter",
title = "On rank-deficient pseudoinverses",
journal = j-LAA,
volume = "29",
pages = "91--111",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Deuflhard:1990:FSM,
author = "P. Deuflhard and R. Freund and A. Walter",
title = "Fast secant methods for the iterative solution of
large nonsymmetric linear systems",
institution = "Preprint SC-90-5, Konrad-Zuse-Zentrum {f\"ur}
Informationstechnik Berlin",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@Book{Deuflhard:1995:NAF,
author = "Peter Deuflhard and Andreas Hohmann",
title = "Numerical Analysis: {A} First Course in Scientific
Computation",
publisher = pub-GRUYTER,
address = pub-GRUYTER:adr,
pages = "xiii + 355",
year = "1995",
ISBN = "3-11-013882-4",
ISBN-13 = "978-3-11-013882-5",
bibdate = "Tue Oct 24 10:26:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Translated from the German by F. A. Potria and F.
Schulz",
}
@InProceedings{Deutsch:1983:NAM,
author = "F. Deutsch",
editor = "C. K. Chui and L. L. Schumaker and J. D. Ward",
booktitle = "Approximation Theory {IV}",
title = "Von {Neumann}'s Alternating Method: {The} Rate of
Convergence",
publisher = pub-AP,
address = pub-AP:adr-NY,
pages = "427--434",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Diamond:1978:SRI,
author = "Harold G. Diamond",
title = "Stability of Rounded Off Inverses Under Iteration",
journal = j-MATH-COMP,
volume = "32",
number = "141",
pages = "227--232",
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Diaz:1989:MLS,
author = "J. C. D{\'\i}az",
booktitle = "Mathematics for Large Scale Computing",
title = "Mathematics for Large Scale Computing",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "12 papers. Nothing of interest.",
}
@Article{Dieci:1992:BMC,
author = "L. Dieci and J. Lorenz",
title = "Block {$M$}-Matrices and Computation of Invariant
Tori",
journal = j-SISSC,
volume = "13",
number = "4",
pages = "885--903",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Tao:1984:CSM,
author = "Pham Dinh Tao",
title = "Convergence of a Subgradient Method for Computing the
Bound Norm of Matrices",
journal = j-LAA,
volume = "62",
pages = "163--182",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "In French",
}
@Article{Tao:1984:SMC,
author = "Pham Dinh Tao",
title = "Some Methods for Computing the Maximum of Quadratic
Form on the Unit Ball of the Maximum Norm",
journal = j-NUM-MATH,
volume = "45",
pages = "377--401",
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "In French",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Dixon:1983:EEE,
author = "John D. Dixon",
title = "Estimating Extremal Eigenvalues and Condition Numbers
of Matrices",
journal = j-SINUM,
volume = "20",
number = "4",
pages = "812--814",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dixon:1972:NO,
author = "L. C. W. Dixon",
title = "Nonlinear Optimisation",
publisher = "English Universities Press",
address = "London",
pages = "ix + 214",
year = "1972",
ISBN = "0-340-05241-4",
ISBN-13 = "978-0-340-05241-9",
bibdate = "Mon Oct 3 12:18:10 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dixon:1976:OA,
author = "L. C. W. Dixon",
booktitle = "Optimization in Action",
title = "Optimization in Action",
publisher = pub-AP,
address = "????",
pages = "????",
year = "1976",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Proc. of IMA conf at Univ Bristol Jan 1975",
}
@TechReport{Dixon:1990:ERE,
author = "L. C. W. Dixon and D. J. Mills",
title = "The Effect of Rounding Error on the Variable Metric
Method",
type = "Technical Report",
number = "229",
institution = "Numerical Optimisation Centre, Hatfield Polytechnic",
address = "Hatfield, UK",
pages = "????",
month = apr,
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dixon:1975:TGO,
author = "L. C. W. Dixon and G. P. Szeg{\H{o}}",
booktitle = "Towards Global Optimization",
title = "Towards Global Optimization",
publisher = pub-NH,
address = pub-NH:adr,
pages = "????",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dodson:19xx:SEF,
author = "D. S. Dodson and R. G. Grimes and J. G. Lewis",
title = "Sparse Extensions to the {FORTRAN} Basic Linear
Algebra Subprograms",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "253--263",
year = "{\noopsort{a}}1991",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Dodson:19xx:AMI,
author = "D. S. Dodson and R. G. Grimes and J. G. Lewis",
title = "Algorithm 692: {Model} Implementation and Test Package
for the Sparse Basic Linear Algebra Subprograms",
journal = j-TOMS,
volume = "17",
number = "2",
pages = "264--272",
year = "{\noopsort{b}}1991",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Don:1995:ASC,
author = "Wai Sun Don and Alex Solomonoff",
title = "Accuracy and Speed in Computing the {Chebyshev}
Collocation Derivative",
journal = j-SISC,
volume = "16",
number = "6",
pages = "1253--1268",
year = "1995",
bibdate = "Thu Nov 23 14:24:48 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dongara:1982:ASF,
author = "J. J. Dongara",
title = "Algorithm 589 {SICEDR}: {A FORTRAN} Subroutine for
Improving the Accuracy of Computed Matrix Eigenvalues",
journal = j-TOMS,
volume = "8",
pages = "371--375",
year = "1982",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "Implements method of Dongarra:1983:IACb",
}
@Article{Dongarra:1983:IACa,
author = "J. J. Dongarra",
title = "Improving the Accuracy of Computed Singular Values",
journal = j-SISSC,
volume = "4",
pages = "712--719",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also report ANL-82-4",
}
@InProceedings{Dongarra:1988:LBE,
author = "J. J. Dongarra",
editor = "E. N. Houstis and T. S. Papatheodorou and C. D.
Polychronopoulos",
booktitle = "Supercomputing, First International Conference,
{Athens}, Proceedings",
title = "The {LINPACK} Benchmark: {An} Explanation",
volume = "297",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "456--474",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@TechReport{Dongarra:1988:PC,
author = "J. J. Dongarra",
title = "Private communication, 1988",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "At Argonne, 19th September 1988.",
}
@TechReport{Dongarra:1995:PVC,
author = "Jack J. Dongarra",
title = "Performance of Various Computers Using Standard Linear
Equations Software",
type = "Technical Report",
number = "CS-89-85",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "34",
month = feb,
year = "1995",
bibdate = "Fri Apr 7 09:38:01 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "An earlier version was Tech. Memo 23, Argonne, 1985.
Has kept 1989 CS report number!",
}
@Article{Dongarra:1990:TAD,
author = "J. J. Dongarra and O. Brewer and J. A. Kohl and S.
Finberg",
title = "A tool to aid in the design, implementation, and
understanding of matrix algorithms for parallel
processors",
journal = j-J-PAR-DIST-COMP,
volume = "9",
pages = "185--202",
year = "1990",
CODEN = "JPDCER",
ISSN = "0743-7315 (print), 1096-0848 (electronic)",
ISSN-L = "0743-7315",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Journal of Parallel and Distributed Computing",
journal-URL = "http://www.sciencedirect.com/science/journal/07437315",
}
@Book{Dongarra:1979:LUG,
author = "J. J. Dongarra and J. R. Bunch and C. B. Moler and G.
W. Stewart",
title = "{LINPACK} Users' Guide",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1979",
ISBN = "0-89871-172-X",
ISBN-13 = "978-0-89871-172-1",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dongarra:1989:VPC,
author = "J. J. Dongarra and I. S. Duff and P. W. Gaffney and S.
McKee",
booktitle = "Vector and Parallel Computing",
title = "Vector and Parallel Computing",
publisher = pub-EH,
address = pub-EH:adr,
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "proc of 2nd Int Par Proc conf at Tromso (2nd hand ref
from KALI89).",
}
@Article{Dongarra:19xx:SLB,
author = "J. J. Dongarra and J. J. Du Croz and I. S. Duff and S.
J. Hammarling",
title = "A Set of {Level 3} Basic Linear Algebra Subprograms",
journal = j-TOMS,
volume = "16",
pages = "1--17",
year = "{\noopsort{a}}1990",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "Preprint No.1, Argonne MCS, August 1988",
}
@Article{Dongarra:19xx:ASL,
author = "J. J. Dongarra and J. J. Du Croz and I. S. Duff and S.
J. Hammarling",
title = "Algorithm 679. {A} set of {Level 3} Basic Linear
Algebra Subprograms: {Model} Implementation and Test
Programs",
journal = j-TOMS,
volume = "16",
pages = "18--28",
year = "{\noopsort{b}}1990",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "Preprint No.2, Argonne MCS, August 1988",
}
@Article{Dongarra:19xx:ESF,
author = "Jack J. Dongarra and Jeremy J. Du Croz and Sven J.
Hammarling and Richard J. Hanson",
title = "An Extended Set of {Fortran} Basic Linear Algebra
Subprograms",
journal = j-TOMS,
volume = "14",
number = "1",
pages = "1--17",
year = "{\noopsort{a}}1988",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "NAG TR3/87, and Argonne MCSD/TM-41. Supersedes
TR3/86.",
}
@Article{Dongarra:19xx:AES,
author = "Jack J. Dongarra and Jeremy J. Du Croz and Sven J.
Hammarling and Richard J. Hanson",
title = "Algorithm 656. {An} Extended Set of {Fortran} Basic
Linear Algebra Subprograms: {Model} Implementation and
Test Programs",
journal = j-TOMS,
volume = "14",
number = "1",
pages = "18--32",
year = "{\noopsort{b}}1988",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "NAG TR4/87, and Argonne MCSD/TM-81.",
}
@TechReport{Dongarra:1995:PFI,
author = "Jack Dongarra and Jeremy J. Du Croz and Sven J.
Hammarling and Jerzy Wa{\'s}niewski and Adam Zemla",
title = "A Proposal for a {Fortran 90} Interface for {LAPACK}",
type = "Technical Report",
number = "CS-95-301",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "????",
month = jul,
year = "1995",
bibdate = "Thu Oct 5 09:50:03 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 101",
}
@Book{Dongarra:1991:SLS,
author = "Jack J. Dongarra and Iain S. Duff and Danny C.
Sorensen and Henk A. {van der Vorst}",
title = "Solving Linear Systems on Vector and Shared Memory
Computers",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 256",
year = "1991",
ISBN = "0-89871-270-X",
ISBN-13 = "978-0-89871-270-4",
LCCN = "QA184 .S65 1991",
bibdate = "Mon Oct 26 07:30:53 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
http://www.math.utah.edu/pub/tex/bib/texbook2.bib;
MathSciNet database",
acknowledgement = ack-nhfb,
tableofcontents = "Introduction / 1 \\
1 Vector and Parallel Processing / 3 \\
1.1 Traditional Computers and Their Limitations / 3 \\
1.2 Parallelism within a Single Processor / 4 \\
1.2.1 Multiple Functional Units / 4 \\
1.2.2 Pipelining / 4 \\
1.2.3 Overlapping / 6 \\
1.2.4 RISC / 7 \\
1.2.5 VLIW / 8 \\
1.2.6 Vector Instructions / 8 \\
1.2.7 Chaining / 9 \\
1.2.8 Memory-to-Memory and Register-to-Register
Organizations / 10 \\
1.2.9 Register Set / 10 \\
1.2.10 Stripmining / 11 \\
1.2.11 Reconfigurable Vector Registers / 11 \\
1.2.12 Memory Organization / 12 \\
1.3 Data Organization / 14 \\
1.3.1 Main Memory / 14 \\
1.3.2 Cache / 16 \\
1.3.3 Local Memory / 18 \\
1.4 Memory Management / 18 \\
1.5 Parallelism through Multiple Pipes or Multiple
Processors / 21 \\
1.6 Interconnection Topology / 22 \\
1.6.1 Crossbar Switch / 23 \\
1.6.2 Timeshared Bus / 24 \\
1.6.3 Ring Connection / 25 \\
1.6.4 Mesh Connection / 25 \\
1.6.5 Hypercube / 26 \\
1.6.6 Multistaged Network / 27 \\
1.7 Programming Techniques / 29 \\
2 Overview of Current High-Performance Computers / 33
\\
2.1 Supercomputers / 33 \\
2.2 Mini-Supercomputers / 36 \\
2.3 Vector Mainframes / 37 \\
2.4 Novel Parallel Processors / 37 \\
3 Implementation Details and Overhead / 43 \\
3.1 Parallel Decomposition and Data Dependency Graphs /
43 \\
3.2 Synchronization / 46 \\
3.3 Load Balancing / 48 \\
3.4 Recurrence / 49 \\
3.5 Indirect Addressing / 51 \\
4 Performance: Analysis, Modeling, and Measurements /
53 \\
4.1 Amdahl's Law / 54 \\
4.1.1 Simple Case of Amdahl's Law / 54 \\
4.1.2 General Form of Amdahl's Law / 55 \\
4.2 Vector Speed and Vector Length / 56 \\
4.3 Amdahl's Law-Parallel Processing / 57 \\
4.3.1 A Simple Model / 60 \\
4.3.2 Gustafson's Model / 60 \\
4.4 Examples of $(r_\infty, n_{1/2})$-values for
Various Computers / 60 \\
4.4.1 CRAY-1 and CRAY-2 (one processor) / 62 \\
4.4.2 CRAY X-MP (one processor; clock cycle time 8.5
nsec) / 63 \\
4.4.3 CYBER 205 (2-pipe) and ETA-10P (single processor)
/ 63 \\
4.4.4 IBM 3090/VF (1 processor; clock cycle time 18.5
nsec) / 64 \\
4.4.5 NEC SX/2 / 65 \\
4.4.6 Convex C-1 and Convex C-210 / 66 \\
4.4.7 Alliant FX/80 / 66 \\
4.4.8 General Observations / 68 \\
4.5 LINPACK Benchmark / 68 \\
4.5.1 Description of the Benchmark / 69 \\
4.5.2 Calls to the BLAS / 69 \\
4.5.3 Asymptotic Performance / 75 \\
5 Building Blocks in Linear Algebra / 75 \\
5.1 Basic Linear Algebra Subprograms / 75 \\
5.1.1 Level 1 BLAS / 76 \\
5.1.2 Level 2 BLAS / 77 \\
5.1.3 Level 3 BLAS / 78 \\
5.2 Levels of Parallelism / 81 \\
5.2.1 Vector Computers / 81 \\
5.2.2 Parallel Processors with Shared Memory / 82 \\
5.2.3 Parallel-Vector Computers / 83 \\
5.2.4 Clusters of Parallel Vector Processors / 84 \\
5.3 Basic Factorizations of Linear Algebra / 84 \\
5.3.1 Point Algorithm: Gaussian Elimination with
Partial Pivoting / 84 \\
5.3.2 Special Matrices / 86 \\
5.4 Blocked Algorithms: Matrix-Vector and Matrix-Matrix
Versions / 89 \\
5.4.1 Right-Looking Algorithm / 90 \\
5.4.2 Left-Looking Algorithm / 92 \\
5.4.3 Crout Algorithm / 98 \\
5.4.4 Typical Performance of Blocked LU Decomposition /
94 \\
5.4.5 Blocked Symmetric Indefinite Factorization / 95
\\
5.4.6 Typical Performance of Blocked Symmetric
Indefinite Factorization. / 98 \\
5.5 Linear Least Squares / 98 \\
5.5.1 Householder Method / 99 \\
5.5.2 Blocked Householder Method / 100 \\
5.5.3 Typical Performance of the Blocked Householder
Factorization / 101 \\
5.6 Organization of the Modules / 102 \\
5.6.1 Matrix--Vector Product / 102 \\
5.6.2 Matrix--Matrix Product / 103 \\
5.6.3 Typical Performance for Parallel Processing / 104
\\
5.6.4 Benefits / 105 \\
5.7 LAPACK / 106 \\
6 Direct Solution of Sparse Linear Systems / 109 \\
6.1 Introduction to Direct Methods for Sparse Linear
Systems / 111 \\
6.1.1 Three Approaches / 111 \\
6.1.2 Description of Sparse Data Structure / 112 \\
6.1.3 Manipulation of Sparse Data Structure / 114 \\
6.2 General Sparse Matrix Methods / 116 \\
6.3 Methods for Symmetric Matrices and Band Systems /
124 \\
6.3.1 The Clique Concept in Gaussian Elimination / 125
\\
6.3.2 Code Performance and Symmetry / 128 \\
6.4 Frontal Methods / 130 \\
6.4.1 Organization / 130 \\
6.4.2 Vector Performance / 132 \\
6.5 Multifrontal Methods / 135 \\
6.5.1 Performance on Vector Machines / 139 \\
6.5.2 Performance on Parallel Machines / 139 \\
6.6 Other Approaches for Exploitation of Parallelism /
141 \\
6.7 Software / 141 \\
6.8 Brief Summary / 142 \\
7 Iterative Solution of Sparse Linear Systems / 143 \\
7.1 Iterative Methods / 145 \\
7.1.1 Conjugate Gradient / 145 \\
7.1.2 Least Squares Conjugate Gradients / 148 \\
7.1.3 Biconjugate Gradients / 150 \\
7.1.4 Conjugate Gradient Squared / 152 \\
7.1.5 GMRES and GMRES(m) / 154 \\
7.1.6 Adaptive Chebychev / 156 \\
7.2 Vector and Parallel Aspects / 158 \\
7.2.1 General Remarks / 158 \\
7.2.2 Sparse Matrix-Vector Multiplication / 160 \\
7.2.3 Performance of the Unpreconditioned Methods / 164
\\
7.3 Preconditioning / 165 \\
7.3.1 General Aspects / 165 \\
7.3.2 Efficient Implementations / 168 \\
7.3.3 Partial Vectorization / 170 \\
7.3.4 Reordering the Unknowns / 172 \\
7.3.5 Changing the Order of Computation / 174 \\
7.3.6 Some Other Vectorizable Preconditioners / 180 \\
7.3.7 Parallel Aspects / 183 \\
7.4 Experiences with Parallelism / 186 \\
7.4.1 General Remarks / 186 \\
7.4.2 Overlapping Local Preconditioners / 186 \\
7.4.3 Repeated Twisted Factorization / 188 \\
7.4.4 Twisted and Nested Twisted Factorization / 189
\\
7.4.5 Hyperplane Ordering / 189 \\
A Acquiring Mathematical Software / 191 \\
B Glossary / 197 \\
C Information on Various High-Performance Computers /
213 \\
D Level 1, 2, and 3 BLAS Quick Reference / 221 \\
E Operation Counts for Various BLAS and Decompositions
/ 227 \\
Index / 247",
}
@TechReport{Dongarra:1995:RCI,
author = "Jack Dongarra and Victor Eijkhout and Ajay Kalhan",
title = "Reverse Communication Interface for Linear Algebra
Templates for Iterative Methods",
type = "Technical Report",
number = "CS-95-291",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "????",
month = may,
year = "1995",
bibdate = "Thu Oct 5 09:50:03 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 99",
}
@Article{Dongarra:1984:SMA,
author = "J. J. Dongarra and S. C. Eisenstat",
title = "Squeezing the most out of an algorithm in {CRAY
FORTRAN}",
journal = j-TOMS,
volume = "10",
pages = "219--230",
year = "1984",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Dongarra:1987:DMS,
author = "Jack J. Dongarra and Eric Grosse",
title = "Distribution of Mathematical Software Via Electronic
Mail",
journal = j-CACM,
volume = "30",
number = "5",
pages = "403--407",
year = "1987",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Dongarra:1984:ILA,
author = "J. J. Dongarra and F. G. Gustavson and A. Karp",
title = "Implementing Linear Algebra Algorithms for Dense
Matrices on a Vector Pipeline Machine",
journal = j-SIREV,
volume = "26",
number = "1",
pages = "91--112",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Dongarra:1990:ENS,
author = "J. J. Dongarra and S. J. Hammarling",
editor = "M. G. Cox and S. J. Hammarling",
booktitle = "Reliable Numerical Computation",
title = "Evolution of Numerical Software for Dense Linear
Algebra",
publisher = pub-OXFORD,
pages = "297--327",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cox:1990:RNC",
}
@Article{Dongarra:1989:BRM,
author = "Jack J. Dongarra and Sven J. Hammarling and Danny C.
Sorensen",
title = "Block Reduction of Matrices to Condensed Forms for
Eigenvalue Computations",
journal = j-JCAM,
volume = "27",
pages = "215--227",
year = "1989",
bibdate = "Sat Nov 5 15:22:16 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "I have only: LAPACK Working Note #2, MCS, Argonne, Sep
1987.",
}
@Article{Dongarra:1992:NCC,
author = "J. J. Dongarra and S. J. Hammarling and J. H.
Wilkinson",
title = "Numerical considerations in computing invariant
subspaces",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "145--161",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "LAPACK Working Note \#25, U. Tennessee Report
CS-90-117",
}
@Article{Dongarra:1986:IDL,
author = "J. J. Dongarra and T. Hewitt",
title = "Implementing dense linear algebra algorithms using
multitasking on the {Cray X-MP}-4 (or approaching the
gigaflop)",
journal = j-SISSC,
volume = "7",
pages = "347--350",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dongarra:1979:ULF,
author = "J. J. Dongarra and A. R. Hinds",
title = "Unrolling loops in {FORTRAN}",
journal = j-SPE,
volume = "9",
pages = "216--226",
year = "1979",
CODEN = "SPEXBL",
ISSN = "0038-0644 (print), 1097-024X (electronic)",
ISSN-L = "0038-0644",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Software---Practice and Experience",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-024X",
}
@Article{Dongarra:1986:SME,
author = "Jack J. Dongarra and Linda Kaufman and Sven J.
Hammarling",
title = "Squeezing the Most out of Eigenvalue Solvers on
High-Performance Computers",
journal = j-LAA,
volume = "77",
pages = "113--136",
year = "1986",
bibdate = "Sat Nov 5 15:20:06 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1994:CCI,
author = "Jack Dongarra and Michael Kolatis",
title = "Call Conversion Interface {(CCI)} for {LAPACK/ESSL}",
type = "Technical Report",
number = "CS-94-250",
institution = "Department of Computer Science, University of
Tennessee",
address = "Knoxville",
pages = "23",
month = oct,
year = "1994",
bibdate = "Sat Feb 18 15:18:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 82",
}
@TechReport{Dongarra:1994:SML,
author = "Jack Dongarra and Andrew Lumsdaine and Xinhiu Niu and
Roldan Pozo and Karin Remington",
title = "A Sparse Matrix Library in {C++} for High Performance
Architectures",
type = "Technical Report",
number = "CS-94-236",
institution = "Department of Computer Science, University of
Tennessee",
address = "Knoxville",
pages = "5",
month = jul,
year = "1994",
bibdate = "Sat Feb 18 15:18:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 74",
}
@InProceedings{Dongarra:1984:EPS,
author = "J. J. Dongarra and C. B. Moler",
editor = "Wayne R. Cowell",
booktitle = "Sources and Development of Mathematical Software",
title = "{EISPACK}---a package for solving matrix eigenvalue
problems",
publisher = pub-PH,
address = pub-PH:adr,
pages = "68--87",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cowell:1984:SDM",
}
@Article{Dongarra:1983:IACb,
author = "J. J. Dongarra and C. B. Moler and J. H. Wilkinson",
title = "Improving the accuracy of computed eigenvalues and
eigenvectors",
journal = j-SINUM,
volume = "20",
pages = "23--45",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1990:LBF,
author = "J. J. Dongarra and S. Ostrouchov",
title = "{LAPACK} block factorization algorithms on the Intel
{iPSC}\slash 860",
institution = "LAPACK Working Note \#24, Report CS-90-115, Department
of Computer Science, University of Tennessee,
Knoxville",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1995:LVH,
author = "Jack Dongarra and Roldan Pozo and David W. Walker",
title = "{LAPACK++ V1.0}: {High} Performance Linear Algebra
Users' Guide",
type = "Technical Report",
number = "CS-95-290",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "31",
month = may,
year = "1995",
bibdate = "Thu May 25 08:34:06 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note 98",
}
@TechReport{Dongarra:1994:LDO,
author = "Jack Dongarra and Roldan Pozo and David W. Walker",
title = "{LAPACK++}: {A} Design Overview of Object-Oriented
Extensions for High Performance Linear Algebra",
type = "Technical Report",
number = "CS-xx-yyy",
institution = inst-CS-U-Tenn,
address = inst-CS-U-Tenn:adr,
pages = "????",
month = "????",
year = "1994",
bibdate = "Sat Feb 18 15:18:29 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "LAPACK Working Note ??",
}
@TechReport{Dongarra:1991:NNA,
author = "Jack J. Dongarra and Bill Rosener",
title = "{NA-NET}: {Numerical} Analysis {NET}",
type = "Technical Report",
number = "CS-91-146",
institution = "Department of Computer Science, University of
Tennessee",
address = "Knoxville",
pages = "????",
month = sep,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1993:SDU,
author = "Jack J. Dongarra and Thomas H. Rowan and Reed C.
Wade",
title = "Software Distribution Using {Xnetlib}",
type = "Report",
number = "ORNL/TM-12318",
institution = inst-ORNL,
address = inst-ORNL:adr,
pages = "????",
month = jun,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Dongarra:1992:PAN,
author = "J. J. Dongarra and M. Sidani",
editor = "D. F. Griffiths and G. A. Watson",
booktitle = "Numerical Analysis 1991, Proceedings of the 14th
Dundee Conference",
title = "A Parallel Algorithm for the Non-symmetric Eigenvalue
Problem",
volume = "260",
publisher = pub-LONGMAN-ST,
address = pub-LONGMAN-ST:adr,
pages = "85--102",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Pitman Research Notes in Mathematics",
}
@Article{Dongarra:1993:PAN,
author = "Jack J. Dongarra and Majed Sidani",
title = "A Parallel Algorithm for the Nonsymmetric Eigenvalue
Problem",
journal = j-SISC,
volume = "14",
number = "3",
pages = "542--569",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "ORNL/TM-12003, Dec 1991",
}
@Article{Dongarra:1986:LAH,
author = "J. J. Dongarra and D. C. Sorensen",
title = "Linear algebra on high-performance computers",
journal = j-APPL-MATH-COMP,
volume = "20",
pages = "57--88",
year = "1986",
CODEN = "AMHCBQ",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003",
mynote = "I have manuscript/report.",
}
@Article{Dongarra:1987:FPA,
author = "J. J. Dongarra and D. C. Sorensen",
title = "A fully parallel algorithm for the symmetric
eigenvalue problem",
journal = j-SISSC,
volume = "8",
pages = "s139--s154",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Dongarra:1986:HPC,
author = "J. J. Dongarra and D. C. Sorensen",
title = "High performance computers and algorithms from linear
algebra",
crossref = "Cullum:1986:LSE",
pages = "15--36",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Dongarra:1988:ADH,
author = "J. J. Dongarra and D. C. Sorensen",
title = "Algorithm design for high-performance computers",
crossref = "Paul:1988:PSC",
pages = "83--97",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Dongarra:1984:LPS,
author = "J. J. Dongarra and G. W. Stewart",
editor = "Wayne R. Cowell",
booktitle = "Sources and Development of Mathematical Software",
title = "{LINPACK}---{A} Package for Solving Linear Systems",
publisher = pub-PH,
address = pub-PH:adr,
pages = "20--48",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cowell:1984:SDM",
}
@TechReport{Dongarra:1990:IRS,
author = "J. J. Dongarra and P. Mayes and G. Radicati di
Brozolo",
title = "The {IBM RISC} System/6000 and linear algebra
operations",
institution = "Report CS-90-122, Department of Computer Science,
University of Tennessee, Knoxville",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1988:TMP,
author = "J. J. Dongarra and D. C. Sorensen and O. Brewer",
title = "Tools and methodology for programming parallel
processors",
institution = "Preprint MC-P29-1288, Mathematics and Computer Science
Division, Argonne National Laboratory, Illinois",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "appeared in Parallel Computing?",
}
@Proceedings{Dongarra:1993:ETP,
editor = "Jack. J. Dongarra and Bernard Tourancheau",
title = "Environments and Tools For Parallel Scientific
Computing",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xvii + 362",
year = "1993",
ISBN = "0-444-89963-4",
ISBN-13 = "978-0-444-89963-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Mainly boring. From a France conf, Spet 1992, NSF-CNRS
grant collaboration.",
}
@Proceedings{Dongarra:1994:ETP,
editor = "Jack. J. Dongarra and Bernard Tourancheau",
title = "Environments and Tools For Parallel Scientific
Computing",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "x + 292",
year = "1994",
ISBN = "0-89871-343-9",
ISBN-13 = "978-0-89871-343-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "From 2nd workshop on this topic, Tennessee, May
25--27, 1994. Only two papers of interest - rest very
CS-oriented.",
}
@TechReport{Dongarra:1992:RCF,
author = "J. J. Dongarra and R. A. van de Geijn",
title = "Reduction to Condensed Form for the Eigenvalue Problem
on Distributed Memory architectures",
type = "Report",
number = "ORNL/TM-12006",
institution = "Oak Ridge National Laboratory",
address = "Tennessee",
pages = "????",
month = jan,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1992:PVC,
author = "Jack J. Dongarra and Henk A. {Van der Vorst}",
title = "Performance of Various Computers Using Standard
Techniques for Solving Sparse Linear Equations",
type = "Technical Report",
number = "CS-92-168",
institution = "Department of Computer Science, University of
Tennessee",
address = "????",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1992:LAS,
author = "J. J. Dongarra and R. A. van de Geijn and D. W.
Walker",
title = "A Look at Scalable Dense Linear Algebra Libraries",
type = "Report",
number = "ORNL/TM-12126",
institution = "Oak Ridge National Laboratory",
address = "Tennessee",
pages = "????",
month = jul,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dongarra:1993:DLA,
author = "Jack J. Dongarra and David W. Walker",
title = "The Design of Linear Algebra Libraries for High
Performance Computers",
type = "Report",
number = "ORNL/TM-12404",
institution = "Oak Ridge National Laboratory",
address = "Tennessee",
pages = "????",
month = aug,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dongarra:1995:SLL,
author = "Jack J. Dongarra and David W. Walker",
title = "Software Libraries for Linear Algebra Computations on
High Performance Computers",
journal = j-SIREV,
volume = "37",
number = "2",
pages = "151--180",
year = "1995",
bibdate = "Tue Aug 15 04:44:08 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dorr:1970:DSD,
author = "F. W. Dorr",
title = "The direct solution of the discrete Poisson equation
on a rectangle",
journal = j-SIREV,
volume = "12",
number = "2",
pages = "248--263",
year = "1970",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dorr:1971:EIC,
author = "Fred W. Dorr",
title = "An Example of Ill-Conditioning in the Numerical
Solution of Singular Perturbation Problems",
journal = j-MATH-COMP,
volume = "25",
number = "114",
pages = "271--283",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dorr:1971:REC,
author = "Fred W. Dorr and Cleve B. Moler",
title = "Roundoff Error on the {CDC} 6600/7600 Computers",
journal = j-SIGNUM,
volume = "8",
number = "2",
pages = "24--26",
year = "1971",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Mon Dec 12 21:50:03 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
}
@Article{Douglas:1994:GPL,
author = "Craig C. Douglas and Michael Heroux and Gordon
Slishman and Roger M. Smith",
title = "{GEMMW}: {A} Portable Level 3 {BLAS Winograd} Variant
of {Strassen}'s Matrix--Matrix Multiply Algorithm",
journal = j-J-COMP-PHYS,
volume = "110",
pages = "1--10",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Douglas:1994:VMM,
author = "Craig C. Douglas and Gordon Slishman",
title = "Variants of Matrix-Matrix Multiplication for
{Fortran}-90",
journal = j-SIGNUM,
volume = "29",
pages = "4--6",
year = "1994",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibdate = "Tue Oct 25 20:06:18 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
mynote = "I have LaTeX version. Reference taken from his WWW
entry.",
}
@Article{Douglas:1959:REN,
author = "Jim {Douglas, Jr.}",
title = "Round-Off Error in the Numerical Solution of the Heat
Equation",
journal = j-ACM,
volume = "6",
pages = "48--58",
year = "1959",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Dowd:1993:HPC,
author = "Kevin Dowd",
title = "High Performance Computing",
publisher = "O'Reilly \& Associates",
address = "Sebastopol, CA",
pages = "xxv + 370",
year = "1993",
ISBN = "1-56592-032-5",
ISBN-13 = "978-1-56592-032-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Doyle:1957:ISC,
author = "Thomas C. Doyle",
title = "Inversion of Symmetric Coefficient Matrix of
Positive-Definite Quadratic Form",
journal = j-MTAC,
volume = "11",
pages = "55--58",
year = "1957",
bibdate = "Sat Apr 22 18:31:32 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Drazin:1992:NS,
author = "P. G. Drazin",
title = "Nonlinear Systems",
publisher = pub-CUP,
address = "????",
pages = "????",
year = "1992",
ISBN = "0-521-40668-4",
ISBN-13 = "978-0-521-40668-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Drmac:1994:PCF,
author = "Zlatko Drma\u{c} and Matja\u{z} Omladi\u{c} and
Kre\u{s}imir Veseli{\'c}",
title = "On the Perturbation of the {Cholesky} Factorization",
journal = j-SIMAX,
volume = "15",
number = "4",
pages = "1319--1332",
year = "1994",
bibdate = "Sun Oct 30 22:32:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Croz:1981:SLF,
author = "J. J. Du Croz and S. M. Nugent and J. K. Reid and D.
B. Taylor",
title = "Solving Large Full Sets of Linear Equations in a Paged
Virtual Store",
journal = j-TOMS,
volume = "7",
number = "4",
pages = "527--536",
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@TechReport{Croz:1990:FBM,
author = "J. J. Du Croz and P. Mayes and G. Radicati",
title = "Factorizations of band matrices using level 3 {BLAS}",
institution = "LAPACK Working Note \#21, Report CS-90-109, Department
of Computer Science, University of Tennessee,
Knoxville",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Croz:1990:PNL,
author = "J. J. Du Croz and S. J. Hammarling",
title = "Parallelism and the {NAG} library",
institution = "NAG Technical Report TR5/90, NAG Ltd., Oxford",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Dec",
}
@Article{Dubois:1979:AIM,
author = "P. F. Dubois and A. Greenbaum and G. H. Rodrigue",
title = "Approximating the inverse of a matrix for use in
iterative algorithms on vector processors",
journal = j-COMPUTING,
volume = "22",
pages = "257--268",
year = "1979",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Dubrulle:1983:CNM,
author = "Augustin A. Dubrulle",
title = "A Class of Numerical Methods for the Computation of
{Pythagorean} Sums",
journal = j-IBM-JRD,
volume = "27",
number = "6",
pages = "582--589",
year = "1983",
CODEN = "IBMJAE",
ISSN = "0018-8646 (print), 2151-8556 (electronic)",
ISSN-L = "0018-8646",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IBM Journal of Research and Development",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
}
@Article{Dubrulle:1991:BGR,
author = "A. A. Dubrulle",
title = "Block {Gauss} reduction to {Hessenberg} form",
journal = j-SISSC,
volume = "12",
pages = "1245--1253",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dubrulle:1991:MQA,
author = "A. A. Dubrulle",
title = "The multishift {QR} algorithm: {Is} it worth the
trouble?",
type = "Report",
number = "No. G320-3558x",
institution = "IBM Corporation, Palo Alto Scientific Center",
address = "CA",
pages = "????",
month = aug,
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Dubrulle:1994:FIM,
author = "Augustin A. Dubrulle",
title = "{Frobenius} Iteration for the Matrix Polar
Decomposition",
type = "Report",
number = "HPL-94-??",
institution = "Hewlette Packard Computer Research Center",
address = "CA",
pages = "9",
month = dec,
year = "1994",
bibdate = "Mon Aug 21 10:15:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dubrulle:1994:MQI,
author = "Augustin A. Dubrulle and Gene H. Golub",
title = "A Multishift {QR} Iteration Without Computation of the
Shifts",
journal = j-NUMER-ALGORITHMS,
volume = "7",
pages = "173--181",
year = "1994",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Feb 24 21:12:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Duff:1977:SSM,
author = "I. S. Duff",
title = "A survey of sparse matrix research",
journal = j-PROC-IEEE,
volume = "65",
pages = "500--535",
year = "1977",
CODEN = "IEEPAD",
ISSN = "0018-9219 (print), 1558-2256 (electronic)",
ISSN-L = "0018-9219",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Proceedings of the IEEE",
journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5",
}
@Article{Duff:1981:MAS,
author = "I. S. Duff",
title = "{ME28}: {A} Sparse Unsymmetric Linear Equation Solver
for Complex Equations",
journal = j-TOMS,
volume = "7",
number = "4",
pages = "505--511",
year = "1981",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Duff:1989:MSM,
author = "I. S. Duff",
title = "Multiprocessing a sparse matrix code on the Alliant
{FX/8}",
journal = j-JCAM,
volume = "27",
pages = "229--239",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Duff:1984:SSM,
author = "I. S. Duff",
editor = "Wayne R. Cowell",
booktitle = "Sources and Development of Mathematical Software",
title = "A Survey of Sparse Matrix Software",
publisher = pub-PH,
address = pub-PH:adr,
pages = "165--199",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cowell:1984:SDM",
mynote = "Also Report AERE-R 10512, AERE Harwell, May 1982.",
}
@InProceedings{Duff:1984:RDS,
author = "I. S. Duff",
title = "Research Directions in Sparse Matrix Computations",
crossref = "Golub:1984:SNA",
pages = "83--139",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also Harwell Report AERE R-10547, July.",
}
@InProceedings{Duff:1988:PSM,
author = "I. S. Duff",
title = "Parallelism in Sparse Matrices",
crossref = "Paul:1988:PSC",
pages = "99--106",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Duff:1989:PAS,
author = "I. S. Duff",
title = "Parallel algorithms for sparse matrix solution",
crossref = "Evans:1989:PCM",
pages = "73--82",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Duff:1988:SSG,
author = "I. S. Duff and A. M. Erisman and C. W. Gear and J. K.
Reid",
title = "Sparsity Structure and {Gaussian} Elimination",
journal = j-SIGNUM,
volume = "23",
number = "2",
pages = "2--8",
year = "1988",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
}
@Article{Duff:1989:SMT,
author = "Iain S. Duff and Roger G. Grimes and John G. Lewis",
title = "Sparse Matrix Test Problems",
journal = j-TOMS,
volume = "15",
number = "1",
pages = "1--14",
year = "1989",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@TechReport{Duff:1992:UGH,
author = "Iain S. Duff and Roger G. Grimes and John G. Lewis",
title = "Users' Guide for the {Harwell--Boeing} Sparse Matrix
Collection (Release 1)",
type = "Report",
number = "RAL-92-086",
institution = inst-RAL,
address = inst-RAL:adr,
pages = "84",
month = dec,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Duff:1991:FSS,
author = "I. S. Duff and N. I. M. Gould and J. K. Reid and J. A.
Scott and K. Turner",
title = "The Factorization of Sparse Symmetric Indefinite
Matrices",
journal = j-IMAJNA,
volume = "11",
pages = "181--204",
year = "1991",
bibdate = "Sat Mar 4 13:54:14 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Duff:1992:PUL,
author = "Iain S. Duff and Michael Marrone and Giuseppe
Radicati",
title = "A Proposal for User Level Sparse {BLAS}",
type = "Technical Report",
number = "TR/PA/92/85",
institution = "CERFACS",
address = "Toulouse, France",
pages = "????",
month = aug,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Duff:1987:ULP,
author = "I. S. Duff and J. Nocedal and J. K. Reid",
title = "The use of linear programming for the solution of
sparse sets of nonlinear equations",
journal = j-SISSC,
volume = "8",
pages = "99--108",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Duff:1986:DMS,
author = "I. S. Duff and A. M. Erisman and J. K. Reid",
title = "Direct Methods for Sparse Matrices",
publisher = pub-CLARENDON,
address = pub-CLARENDON:adr,
pages = "xiii + 341",
year = "1986",
ISBN = "0-19-853408-6 (hardcover), 0-19-853421-3 (paperback)",
ISBN-13 = "978-0-19-853408-2 (hardcover), 978-0-19-853421-1
(paperback)",
LCCN = "QA188 .D841 1986",
bibdate = "Tue Dec 14 22:47:43 1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/master.bib",
price = "US\$37.50",
acknowledgement = ack-nhfb,
shorttableofcontents = "1: Introduction \\
2: Sparse matrices: storage schemes and simple
Operations \\
3: Gaussian elimination for dense matrices: the
algebraic problem \\
4: Gaussian elimination for dense matrices: numerical
considerations \\
5: Gaussian elimination for sparse matrices: an
introduction \\
6: Reduction to block triangular form \\
7: Local pivotal strategies for sparse matrices \\
8: Ordering sparse matrices to special forms \\
9: Implementing Gaussian elimination: ANALYSE with
numerical values \\
10: Implementing Gaussian elimination with symbolic
ANALYSE \\
11: Partitioning, matrix modification, and tearing \\
12: Other sparsity-oriented issues \\
Appendix A: Matrix and vector norms / 281 \\
Appendix B: The LINPACK condition number estimate / 285
\\
Appendix C: Fortran Conventions / 287 \\
Appendix D: Pictures of sparse matrices / 289 \\
Solutions to selected exercises / 297 \\
References / 313 \\
Author index / 327 \\
Subject index / 331",
tableofcontents = "1: Introduction \\
1.1 Introduction / 1 \\
1.2 Graph theory / 2 \\
1.3 Example / 4 \\
1.4 Advanced Computer architectures / 9 \\
1.5 Problem formulation / 11 \\
1.6 A sparse matrix test collection / 14 \\
2: Sparse matrices: storage schemes and simple
Operations \\
2.1 Introduction / 19 \\
2.2 Sparse vector storage / 19 \\
2.3 Inner product of two packed vectors / 20 \\
2.4 Adding packed vectors / 21 \\
2.5 Use of full-sized arrays / 22 \\
2.6 Coordinate scheme for storing sparse matrices / 23
\\
2.7 Sparse matrix as a collection of sparse vectors /
24 \\
2.8 Linked lists / 25 \\
2.9 Sparse matrix in row-linked list / 28 \\
2.10 Generating collections of sparse vectors / 30 \\
2.11 Access by rows and columns / 31 \\
2.12 Matrix by vector products / 32 \\
2.13 Matrix by matrix products / 33 \\
2.14 Permutation matrices / 34 \\
2.15 Clique (or finite-element) storage / 36 \\
2.16 Comparisons between sparse matrix structures / 37
\\
3: Gaussian elimination for dense matrices: the
algebraic problem \\
3.1 Introduction / 41 \\
3.2 Solution of triangular Systems / 41 \\
3.3 Gaussian elimination / 43 \\
3.4 Required row interchanges / 45 \\
3.5 Relationship with $L U$ factorization / 46 \\
3.6 Equivalent factorization methods, including
Doolittle and Crout / 49 \\
3.7 Computational sequences / 51 \\
3.8 Symmetric matrices / 53 \\
3.9 Gauss--Jordan elimination / 55 \\
3.10 Multiple right-hand sides and inverses / 56 \\
3.11 Computational cost / 57 \\
3.12 Block factorization / 59 \\
4: Gaussian elimination for dense matrices: numerical
considerations \\
4.1 Introduction / 65 \\
4.2 Computer arithmetic error / 66 \\
4.3 Algorithm instability / 67 \\
4.4 Controlling algorithm stability / 69 \\
4.5 Monitoring the stability / 72 \\
4.6 Special stability considerations / 76 \\
4.7 Solving indefinite symmetric systems / 77 \\
4.8 Ill-conditioning: introduction / 78 \\
4.9 Ill-conditioning: theoretical discussion / 79 \\
4.10 Ill-conditioning: automatic detection / 81 \\
4.11 Iterative refinement / 85 \\
4.12 Scaling / 86 \\
4.13 Prevention of ill-conditioning / 88 \\
4.14 Overall error bound / 89 \\
5: Gaussian elimination for sparse matrices: an
introduction \\
5.1 Introduction / 93 \\
5.2 Features of a sparse matrix code / 94 \\
5.3 Orderings / 96 \\
5.4 Numerical stability in sparse computation / 98 \\
5.5 Estimating condition numbers in sparse computation
/ 100 \\
5.6 The ANALYSE phase / 101 \\
5.7 The FACTORIZE and SOLVE phases / 102 \\
5.8 Writing compared with using sparse matrix Software
/ 103 \\
6: Reduction to block triangular form \\
6.1 Introduction / 105 \\
6.2 Background for finding a transversal / 107 \\
6.3 A depth-first search algorithm for transversal
extension / 109 \\
6.4 Analysis of the depth-first search transversal
algorithm / 111 \\
6.5 Implementation of the transversal algorithm / 112
\\
6.6 Symmetric permutations to block triangular form /
113 \\
6.7 The algorithm of Sargent and Westerberg / 114 \\
6.8 Tarjan's algorithm / 117 \\
6.9 Implementation of Tarjan's algorithm / 120 \\
6.10 Essential uniqueness of the block triangular form
/ 121 \\
6.11 Experience with block triangular forms / 122 \\
6.12 Maximum transversals / 124 \\
7: Local pivotal strategies for sparse matrices \\
7.1 Introduction / 127 \\
7.2 The Markowitz criterion / 128 \\
7.3 Minimum degree (Tinney scheme 2) / 129 \\
7.4 Simpler strategies / 130 \\
7.5 Local minimum fill-in / 133 \\
7.6 Other local strategies / 135 \\
7.7 The effect of tie-breaking on the minimum degree
algorithm / 136 \\
7.8 Numerical pivoting / 139 \\
7.9 Sparsity in the right-hand side and partial
Solution / 140 \\
7.10 Variability-type ordering / 143 \\
7.11 The Symmetric indefinite case / 145 \\
7.12 Solution methods based on orthogonalization / 145
\\
8: Ordering sparse matrices to special forms \\
8.1 Introduction / 149 \\
8.2 Desirable forms / 149 \\
8.3 Band and variable-band matrices / 151 \\
8.4 Ordering for small bandwidth / 153 \\
8.5 Refined quotient trees / 157 \\
8.6 One-way dissection / 161 \\
8.7 Nested dissection / 163 \\
8.8 The Boeing version of the Hellerman--Rarick
algorithm / 168 \\
8.9 The Hellerman--Rarick ordering / 172 \\
9: Implementing Gaussian elimination: ANALYSE with
numerical values \\
9.1 Introduction / 177 \\
9.2 Markowitz ANALYSE / 178 \\
9.3 FACTORIZE / 183 \\
9.4 SOLVE / 186 \\
9.5 Switching to full form / 188 \\
9.6 Loop-free code / 191 \\
9.7 Interpretative code / 192 \\
9.8 A posteriori ordering for stability / 193 \\
9.9 The use of drop tolerances to preserve sparsity /
195 \\
10: Implementing Gaussian elimination with symbolic
ANALYSE 10.1 Introduction / 199 \\
10.2 Band methods / 200 \\
10.3 Variable-band (profile) methods / 204 \\
10.4 Special methods for banded Systems / 205 \\
10.5 Frontal methods for finite-element problems / 210
\\
10.6 Frontal methods for non-element problems / 216 \\
10.7 Multifrontal (substructuring) methods for
finite-element problems / 218 \\
10.8 Multifrontal methods for non-element problems /
222 \\
10.9 Minimum degree ordering / 226 \\
10.10 Generating static data structures for FACTORIZE /
229 \\
10.11 Numerical FACTORIZE and SOLVE using static data
structures / 232 \\
10.12 Accommodating numerical pivoting within static
data structures / 233 \\
10.13 Nested dissection, refined quotient tree, and
one-way dissection / 234 \\
10.14 Effects of Computer architecture / 234 \\
11: Partitioning, matrix modification, and tearing \\
11.1 Introduction / 239 \\
11.2 Exploiting the partitioned form / 240 \\
11.3 Using partitioning to handle low-rank
perturbations / 242 \\
11.4 The matrix modification formula / 243 \\
11.5 Low-rank modifications / 244 \\
11.6 Use of the modification formula to solve equations
/ 245 \\
11.7 Perturbations that are full-rank submatrices / 247
\\
11.8 The equivalence of modification and partitioning /
249 \\
11.9 Modifications that change the matrix Order / 250
\\
11.10 Artificial perturbations / 251 \\
11.11 Branch tearing / 252 \\
11.12 Node tearing / 254 \\
11.13 Implementation of node and branch tearing / 255
\\
11.14 Manual choice of partitions and tear sets / 255
\\
11.15 Automatic choice of partitions and tear sets /
257 \\
11.16 Nonlinear tearing / 259 \\
11.17 Conclusions / 260 \\
12: Other sparsity-oriented issues \\
12.1 Introduction / 265 \\
12.2 Sparsity in nonlinear computations / 266 \\
12.3 Estimating a sparse Jacobian matrix / 267 \\
12.4 Updating a sparse Hessian matrix / 269 \\
12.5 Approximating a sparse matrix by a
positive-definite one / 270 \\
12.6 The inverse of a sparse matrix / 271 \\
12.7 Computing entries of the inverse of a sparse
matrix / 273 \\
12.8 Sparsity constrained backward error analysis / 275
\\
12.9 Assembling large finite-element matrices to band
form / 277 \\
12.10 Hypermatrices / 278 \\
Appendix A: Matrix and vector norms / 281 \\
Appendix B: The LINPACK condition number estimate / 285
\\
Appendix C: Fortran Conventions / 287 \\
Appendix D: Pictures of sparse matrices / 289 \\
Solutions to selected exercises / 297 \\
References / 313 \\
Author index / 327 \\
Subject index / 331",
mynote = "Typeset using TSSD at Harwell.",
}
@Article{Duff:1983:MSI,
author = "Iain S. Duff and John K. Reid",
title = "The Multifrontal Solution of Indefinite Sparse
Symmetric Linear Equations",
journal = j-TOMS,
volume = "9",
number = "3",
pages = "302--325",
year = "1983",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Mar 4 13:51:54 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@TechReport{Duff:1982:MSF,
author = "Iain S. Duff and John K. Reid",
title = "{MA27}---{A} Set of {Fortran} Subroutines for Solving
Sparse Symmetric Sets of Linear Equations",
number = "AERE R10533",
institution = inst-HARWELL,
publisher = pub-HMSO,
address = pub-HMSO:adr,
pages = "????",
month = jul,
year = "1982",
ISBN = "0-7058-0985-4",
ISBN-13 = "978-0-7058-0985-6",
bibdate = "Tue Jun 20 14:28:37 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Published by " # pub-HMSO,
mynote = "Adapted from duff.bib. JKR gave me ph'copy of title
pages.",
}
@TechReport{Duff:1993:MFC,
author = "Iain S. Duff and John K. Reid",
title = "{MA48}, a {Fortran} Code for Direct Solution of Sparse
Unsymmetric Linear Systems of Equations",
type = "Report",
number = "RAL-93-072",
institution = inst-RAL,
address = inst-RAL:adr,
pages = "????",
month = oct,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Duff:1995:MFC,
author = "Iain S. Duff and John K. Reid",
title = "{MA47}, a {Fortran} Code for Direct Solution of
Indefinite Sparse Symmetric Linear Systems",
type = "Report",
number = "RAL-95-001",
institution = inst-RAL,
address = inst-RAL:adr,
pages = "63",
month = jan,
year = "1995",
bibdate = "Sat Mar 4 14:01:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Duff:1979:DSS,
author = "Iain S. Duff and John K. Reid and Neils Munskgaard and
Hans B. Nielsen",
title = "Direct Solution of Sets of Linear Equations Whose
Matrix is Sparse, Symmetric and Indefinite",
journal = j-JIMA,
volume = "23",
pages = "235--250",
year = "1979",
bibdate = "Sat Mar 4 13:56:01 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "First names from duff.bib, not the paper itself.",
}
@TechReport{Duff:1993:MNF,
author = "Iain S. Duff and Jennifer A. Scott",
title = "{MA42}---{A} New Frontal Code for Solving Sparse
Unsymmetric Systems",
type = "Report",
number = "RAL-93-064",
institution = inst-RAL,
address = inst-RAL:adr,
pages = "????",
month = sep,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Duff:1979:SMP,
editor = "I. S. Duff and G. W. Stewart",
booktitle = "Sparse Matrix Proceedings 1978",
title = "Sparse Matrix Proceedings 1978",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Dunham:1982:CBC,
author = "Charles B. Dunham",
title = "Choice of Basis for {Chebyshev} Approximation",
journal = j-TOMS,
volume = "8",
number = "1",
pages = "21--25",
year = "1982",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Dwyer:1951:LC,
author = "Paul S. Dwyer",
title = "Linear Computations",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "xi + 344",
year = "1951",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Basically a book on how to solve linear equations.",
}
@InCollection{Dwyer:1953:EMC,
author = "Paul S. Dwyer",
editor = "L. J. Paige and Olga Taussky",
booktitle = "Simultaneous Linear Equations and the Determination of
Eigenvalues",
title = "Errors of Matrix Computations",
number = "29",
publisher = "National Bureau of Standards, United States Department
of Commerce",
address = "Washington, DC",
pages = "49--58",
year = "1953",
bibdate = "Sun Dec 18 15:23:29 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Applied Mathematics Series",
}
@Article{Dwyer:1967:SAM,
author = "P. S. Dwyer",
title = "Some applications of matrix derivatives in
multivariate analysis",
journal = j-J-AMER-STAT-ASSOC,
volume = "62",
pages = "607--625",
year = "1967",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Eberlein:1965:MNN,
author = "P. J. Eberlein",
title = "On measures of non-normality for matrices",
journal = j-AMM,
volume = "72",
pages = "995--996",
year = "1965",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Eberlein:1971:DCS,
author = "P. J. Eberlein",
title = "On the diagonalization of complex symmetric matrices",
journal = j-JIMA,
volume = "7",
pages = "377--383",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Eberlein:1971:NMD,
author = "P. J. Eberlein",
title = "A Note on the Matrices Denoted by {$B_n$}",
journal = j-SIAMA,
volume = "20",
number = "1",
pages = "87--92",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Eckart:1936:AOM,
author = "Carl Eckart and Gale Young",
title = "The Approximation of One Matrix by Another of Lower
Rank",
journal = j-PSYCHOMETRIKA,
volume = "1",
number = "3",
pages = "211--218",
year = "1936",
CODEN = "PSMIA3",
ISSN = "0033-3123 (print), 1860-0980 (electronic)",
ISSN-L = "0033-3123",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Psychometrika",
}
@Article{Edelman:1988:ECN,
author = "Alan Edelman",
title = "Eigenvalues and Condition Numbers of Random Matrices",
journal = j-SIMAX,
volume = "9",
number = "4",
pages = "543--560",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also NA Rep 87-8",
}
@PhdThesis{Edelman:1989:ECN,
author = "Alan Edelman",
title = "Eigenvalues and Condition Numbers of Random Matrices",
school = "M.I.T.",
address = "Cambridge, MA",
pages = "????",
month = may,
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Numerical Analysis Report 89-7, Department of
Mathematics",
}
@Article{Edelman:1991:FAL,
author = "Alan Edelman",
title = "The First Annual Large Dense Linear System Survey",
journal = j-SIGNUM,
volume = "26",
pages = "6--12",
month = oct,
year = "1991",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
mynote = "I haven't seen the SIGNUM article, but have an MS
obtained by ftp.",
}
@Article{Anonymous:1991:EN,
author = "Anonymous",
key = "Editor",
title = "Editor's Note",
journal = j-SIMAX,
volume = "12",
number = "3",
pages = "??--??",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "No page number. Re. Edelman and Ohlrich growth factor
discovery.",
}
@Article{Edelman:1991:DMS,
author = "Alan Edelman",
title = "The Distribution and Moments of the Smallest
Eigenvalue of a Random Matrix of {Wishart} Type",
journal = j-LAA,
volume = "159",
pages = "55--80",
year = "1991",
bibdate = "Tue Nov 15 20:15:14 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Edelman:1992:CPC,
author = "Alan Edelman",
title = "The Complete Pivoting Conjecture for {Gaussian}
Elimination is False",
journal = j-MATHEMATICA-J,
volume = "2",
pages = "58--61",
year = "1992",
ISSN = "1047-5974 (print), 1097-1610 (electronic)",
ISSN-L = "1047-5974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematica Journal",
journal-URL = "http://www.mathematica-journal.com/",
mynote = "Not seen reprint, but have LaTeX and reference is from
AE.",
}
@Article{Edelman:1992:DSC,
author = "Alan Edelman",
title = "On the Distribution of a Scaled Condition Number",
journal = j-MATH-COMP,
volume = "58",
number = "197",
pages = "185--190",
year = "1992",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Tue Nov 15 20:13:32 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Edelman:1993:ERR,
author = "Alan Edelman",
editor = "Marc S. Moonen and Gene H. Golub and Bart L. De Moor",
booktitle = "Linear Algebra for Large Scale and Real-Time
Applications",
title = "Eigenvalue Roulette and Random Test Matrices",
volume = "232",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "365--368",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "NATO ASI Series E",
}
@Article{Edelman:1993:LDN,
author = "Alan Edelman",
title = "Large Dense Numerical Linear Algebra in 1993: {The}
Parallel Computing Influence",
journal = j-IJSA,
volume = "7",
number = "2",
pages = "113--128",
year = "1993",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
mynote = "Seen, but have only MS.",
}
@InProceedings{Edelman:1994:SDN,
author = "Alan Edelman",
editor = "John G. Lewis",
booktitle = "Proceedings of the Fifth SIAM Conference on Applied
Linear Algebra",
title = "Scalable Dense Numerical Linear Algebra in 1994: {The}
Multicomputer Influence",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "344--348",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Edelman:1994:W,
author = "Alan Edelman",
title = "When is {$x*(1/x) \ne 1$}?",
address = "????",
pages = "????",
year = "1994",
bibdate = "Tue Nov 22 12:02:18 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Unpublished{Edelman:1995:PFD,
author = "Alan Edelman",
title = "The {Pentium} Flaw: {A} Devilish Recreational
Mathematical Puzzle",
address = "????",
pages = "11",
day = "7",
month = jul,
year = "1995",
bibdate = "Sun Jul 16 15:40:27 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Unpublished{Edelman:1994:CCG,
author = "Alan Edelman and Toma{\'a}s A. Arias and Steven T.
Smith",
title = "Curvature in Conjugate Gradient Eigenvalue Computation
with Applications to Materials and Chemistry
Calculations",
institution = "Manuscript",
address = "????",
pages = "6",
year = "1994",
bibdate = "Mon Dec 26 21:04:34 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Edelman:1993:HMR,
author = "Alan Edelman and Eric Kostlan",
title = "How Many Roots of a Random Polynomial Are Real?",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Edelman:1994:RKM,
author = "Alan Edelman and Eric Kostlan",
editor = "John G. Lewis",
booktitle = "Proceedings of the Fifth SIAM Conference on Applied
Linear Algebra",
title = "The Road From {Kac}'s Matrix to {Kac}'s Random
Polynomials",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "503--507",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Edelman:1994:HME,
author = "Alan Edelman and Eric Kostlan and Michael Shub",
title = "How Many Eigenvalues of a Random Matrix are Real?",
journal = j-JAMS,
volume = "7",
number = "1",
pages = "247--267",
year = "1994",
bibdate = "Thu Oct 27 11:04:37 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Edelman:1995:CPC,
author = "Alan Edelman and Walter Mascarenhas",
title = "On the Complete Pivoting Conjecture for a {Hadamard}
Matrix of Order 12",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "38",
number = "3",
pages = "181--188",
year = "1995",
CODEN = "LNMLAZ",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
bibdate = "Tue Apr 25 08:44:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
mynote = "I've not seen the journal article. Lawrence Berkeley
Laboratory, University of California, Preprint,
LBL-31840, feb 1992",
}
@InProceedings{Edelman:1994:PRC,
author = "Alan Edelman and H. Murakami",
editor = "John G. Lewis",
booktitle = "Proceedings of the Fifth SIAM Conference on Applied
Linear Algebra",
title = "Polynomial Roots from Companion Matrix Eigenvalues",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "326--330",
year = "1994",
bibdate = "Thu Sep 14 15:47:28 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Full version \cite{Edelman:1995:PRC}",
}
@Article{Edelman:1995:PRC,
author = "Alan Edelman and H. Murakami",
title = "Polynomial Roots from Companion Matrix Eigenvalues",
journal = j-MATH-COMP,
volume = "64",
number = "210",
pages = "763--776",
year = "1995",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Fri Aug 18 04:50:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Edelman:1993:SO,
author = "Alan Edelman and G. W. Stewart",
title = "Scaling for Orthogonality",
journal = j-IEEE-SP,
volume = "41",
number = "4",
pages = "1676--1677",
year = "1993",
bibdate = "Sat Apr 15 11:21:12 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Edlefsen:1986:GPL,
author = "L. E. Edlefsen and S. D. Jones",
title = "{GAUSS} Programming Language Manual",
institution = "Aptech Systems, Inc., 26250 196th Place South East,
Kent, WA 98042",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Software version 1.49B, Documentation version 1.00,
1/9/86.",
}
@Article{Egecloglu:1989:FAR,
author = "{\"O}mer E{\~g}eclo{\~g}lu and {\c C}etin K. Ko{\c
c}",
title = "A Fast Algorithm for Rational Interpolation via
Orthogonal Polynomials",
journal = j-MATH-COMP,
volume = "53",
number = "187",
pages = "249--264",
year = "1989",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Egecloglu:1992:PPC,
author = "{\"O}. E{\~g}eclo{\~g}lu and {\c C}. K. Ko{\c c}",
title = "Parallel Prefix Computation with Few Processors",
journal = j-COMPUT-MATH-APPL,
volume = "24",
number = "4",
pages = "77--84",
year = "1992",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Ehrlich:1970:CMI,
author = "L. W. Ehrlich",
title = "Complex Matrix Inversion Versus Real",
journal = j-CACM,
volume = "13",
number = "9",
pages = "561--562",
year = "1970",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Eiermann:1988:SSL,
author = "Michael Eiermann and Ivo Marek and Wilhelm
Niethammer",
title = "On the Solution of Singular Linear Systems of
Algebraic Equations by Semiiterative Methods",
journal = j-NUM-MATH,
volume = "53",
pages = "265--283",
year = "1988",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Einarsson:1979:BEN,
author = "B. Einarsson",
title = "Bibliography on the evaluation of numerical software",
journal = j-JCAM,
volume = "5",
pages = "145--159",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "About 230 refs. Only a few of interest that I hadn't
seen.",
}
@Article{Eirola:1993:ABE,
author = "Timo Eirola",
title = "Aspects of Backward Error Analysis of Numerical
{ODEs}",
journal = j-JCAM,
volume = "45",
number = "1-2",
pages = "65--73",
year = "1993",
bibdate = "Thu Mar 9 08:32:59 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not copied. Theoretical and boring.",
}
@Article{Eisenhart:1973:CHP,
author = "Laurance C. Eisenhart and George E. {Trapp, Jr.}",
title = "Computation of {Hermite} Polynomials",
journal = j-MATH-COMP,
volume = "27",
number = "123",
pages = "625--632",
year = "1973",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Eisenstat:1988:MCA,
author = "S. C. Eisenstat and Michael T. Heath and C. S. Henkel
and Charles H. Romine",
title = "Modified Cyclic Algorithms for Solving Triangular
Systems on Distributed-Memory Multiprocessors",
journal = j-SISSC,
volume = "9",
number = "3",
pages = "589--600",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Eisenstat:1993:RPT,
author = "Stanley C. Eisenstat and Ilse C. F. Ipsen",
title = "Relative Perturbation Techniques for Singular Value
Problems",
type = "Research Report",
number = "YALEU/DCS/RR-942",
institution = "Department of Computer Science, Yale University",
address = "????",
pages = "????",
month = jul,
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Eisinburg:1994:EIC,
author = "Alfredo Eisinburg and Paolo Pugliese",
editor = "John G. Lewis",
booktitle = "Proceedings of the Fifth SIAM Conference on Applied
Linear Algebra",
title = "Exact Inversion of a Class of {Vandermonde} Matrices",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "239--243",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Elden:1980:PTL,
author = "Lars Eld{\'e}n",
title = "Perturbation Theory for the Least Squares Problem with
Linear Equality Constraints",
journal = j-SINUM,
volume = "17",
number = "3",
pages = "338--350",
year = "1980",
bibdate = "Sat Jan 28 18:27:41 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Elden:1994:PAB,
author = "Lars Eld{\'e}n and Haesun Park",
title = "Perturbation Analysis for Block Downdating of a
{Cholesky} Decomposition",
journal = j-NUM-MATH,
volume = "68",
number = "4",
pages = "457--467",
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Tue Mar 7 19:32:47 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Book{Elden:1990:NAI,
author = "L. Eld{\'e}n and L. Wittmeyer-Koch",
title = "Numerical Analysis: An Introduction",
publisher = pub-AP,
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Quite nice. Broad but often little detail. Perhaps
good for 226/7",
}
@Article{Eldersveld:1992:BUL,
author = "Samuel K. Eldersveld and Michael A. Saunders",
title = "A Block-{$LU$} Update for Large-Scale Linear
Programming",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "191--201",
year = "1992",
bibdate = "Fri Feb 3 15:15:45 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ellacott:1994:TMA,
author = "S. W. Ellacott",
title = "Techniques for the Mathematical Analysis of Neural
Networks",
journal = j-JCAM,
volume = "50",
pages = "283--297",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ellacott:1988:CMG,
author = "S. W. Ellacott and E. B. Saff",
title = "On {Clenshaw}'s Method and a Generalisation to {Faber}
Series",
journal = j-NUM-MATH,
volume = "52",
pages = "499--509",
year = "1988",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "Typo in title! The correct `Clenshaw's' appears in the
text.",
}
@Article{Elsner:1976:IIC,
author = "Ludwig Elsner",
title = "Inverse Iteration for Calculating the Spectral Radius
of a Non-Negative Irreducible Matrix",
journal = j-LAA,
volume = "15",
pages = "235--242",
year = "1976",
bibdate = "Thu May 18 12:04:28 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Elsner:1991:ACD,
author = "L. Elsner and C. He",
title = "An Algorithm for Computing the Distance to
Uncontrollability",
journal = j-SYS-CTL-LETT,
volume = "17",
pages = "453--464",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Elsner:1991:PIT,
author = "L. Elsner and C. He",
title = "Perturbation and Interlace Theorems for the Unitary
Eigenvalue Problem",
journal = j-LAA,
pages = "??--??",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear",
}
@Unpublished{Elsner:1992:EFS,
author = "L. Elsner and C. He",
title = "An Eigenvector Formula for Symmetric and Unitary
Matrices",
address = "????",
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Elsner:1994:MCN,
author = "L. Elsner and C. He and V. Mehrmann",
title = "Minimizing the Condition Number of a Positive Definite
Matrix by Completion",
journal = j-NUM-MATH,
volume = "69",
pages = "17--23",
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sat Mar 4 14:20:37 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Elsner:1993:ACP,
author = "L. Elsner and I. Koltracht and M. Neumann and D.
Xiao",
title = "On Accurate Computations of the {Perron} Root",
journal = j-SIMAX,
volume = "14",
number = "2",
pages = "456--467",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Elsner:1987:MNM,
author = "L. Elsner and M. H. C. Paardekooper",
title = "On measures of nonnormality of matrices",
journal = j-LAA,
volume = "92",
pages = "107--124",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Enns:1990:SMI,
author = "M. K. Enns and W. F. Tinney and F. L. Alvarado",
title = "Sparse Matrix Inverse Factors",
journal = j-IEEE-TRANS-POWER-SYSTEMS,
volume = "5",
number = "2",
pages = "466--472",
year = "1990",
CODEN = "ITPSEG",
ISSN = "0885-8950 (print), 1558-0679 (electronic)",
ISSN-L = "0885-8950",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IEEE Transactions on Power Systems",
}
@Article{Enright:1979:ERN,
author = "W. Enright",
title = "On the efficient and reliable numerical solution of
large linear systems of {ODE}'s",
journal = j-IEEE-AC,
volume = "AC-24",
pages = "905--908",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Epton:1980:MSA,
author = "Michael A. Epton",
title = "Methods for the Solution of {$AXD-BXC=E$} and its
Application in the Numerical Solution of Implicit
Ordinary Differential Equations",
journal = j-BIT,
volume = "20",
pages = "341--345",
year = "1980",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Erhel:1993:EDP,
author = "J. Erhel",
title = "Experiments with Data Perturbations to Study Condition
Numbers and Numerical Stability",
journal = j-COMPUTING,
volume = "51",
pages = "29--44",
year = "1993",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Erisman:1987:EOU,
author = "A. M. Erisman and R. G. Grimes and J. G. Lewis and W.
G. Poole and H. D. Simon",
title = "Evaluation of Orderings for Unsymmetric Sparse
Matrices",
journal = j-SISSC,
volume = "8",
number = "4",
pages = "600--624",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Erisman:1974:MST,
author = "A. M. Erisman and J. K. Reid",
title = "Monitoring the Stability of the Triangular
Factorization of a Sparse Matrix",
journal = j-NUM-MATH,
volume = "22",
pages = "183--186",
year = "1974",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@TechReport{Espelid:1978:FPS,
author = "Terje O. Espelid",
title = "On Floating-Point Summation",
type = "Report",
number = "No. 67",
institution = "Department of Applied Mathematics, University of
Bergen",
address = "Bergen, Norway",
pages = "????",
month = dec,
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Evans:1971:NSS,
author = "D. J. Evans",
editor = "J. Ll. Morris",
booktitle = "Conference on Applications of Numerical Analysis",
title = "Numerical Solution of the {Sturm Liouville} Problem
with Periodic Boundary Conditions",
volume = "228",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "277--289",
year = "1971",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Mathematics",
mynote = "Re. quasi-tridiagonal matrices. Dundee, March 23-26,
1971, during NA year.",
}
@Book{Evans:1974:SNM,
editor = "D. J. Evans",
title = "Software for Numerical Mathematics",
publisher = pub-AP,
address = pub-AP:adr-L,
pages = "????",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Evans:1982:PPS,
editor = "David J. Evans",
title = "Parallel Processing Systems",
publisher = pub-CUP,
address = "????",
pages = "????",
year = "1982",
ISBN = "0-521-24366-1",
ISBN-13 = "978-0-521-24366-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Just one interesting article: \cite{feil80}.",
}
@Article{Evans:1983:PST,
author = "D. J. Evans and R. C. Dunbar",
title = "The Parallel Solution of Triangular Systems of
Equations",
journal = j-IEEE-C,
volume = "C-32",
number = "2",
pages = "201--204",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Evans:1979:COS,
author = "D. J. Evans and M. Hatzopoulos",
title = "A comparison of optimal scaling and preconditioning",
journal = j-SIGNUM,
volume = "14",
pages = "20--22",
year = "1979",
CODEN = "SNEWD6",
ISSN = "0163-5778 (print), 1558-0237 (electronic)",
ISSN-L = "0163-5778",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGNUM Newsletter",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J690",
}
@Article{Evans:1979:GSF,
author = "D. J. Evans and S. O. Okolie",
title = "A Generalised Sparse Factorisation Method for the
Solution of Periodic Tridiagonal Systems",
journal = j-COMPUT-MATH-APPL,
volume = "5",
pages = "211--216",
year = "1979",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Book{Evans:1989:PCM,
author = "D. J. Evans and C. Sutti",
booktitle = "Parallel Computing: Methods, Algorithms and
Applications",
title = "Parallel Computing: Methods, Algorithms and
Applications",
publisher = "Adam Hilger",
address = "Bristol",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Proceedings of meeting in Verona, Italy, 1988",
}
@Article{Evard:1992:ME,
author = "Jean-Claude Evard and Frank Uhlig",
title = "On the Matrix Equation {$f(X) = A$}",
journal = j-LAA,
volume = "162--164",
pages = "447--519",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Evans:1990:SS,
editor = "R. J. Evans and S. Wilson",
title = "Supercomputational Science",
publisher = pub-PLENUM,
address = pub-PLENUM:adr,
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Eds from Rutherford Appleton Lab. Generally poor.
Typos even in preface! Three moderate articles on
testing, all by same author.",
}
@Book{Eves:1966:EMT,
author = "Howard Eves",
title = "Elementary Matrix Theory",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "????",
year = "1966",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Faddeev:1968:SLAa,
author = "D. K. Faddeev and V. N. Kublanovskaja and V. N.
Faddeeva",
title = "Solution of Linear Algebraic Systems with Rectangular
Matrices",
journal = j-PROC-STEKLOV-INST-MATH,
volume = "96",
pages = "93--111",
year = "1968",
CODEN = "TMISAF",
ISSN = "0081-5438",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Trudy Matematicheskogo instituta imeni V. A. Steklova = Proceedings of the Steklov Institute of Mathematics",
}
@Book{Faddeev:1963:CML,
author = "D. K. Faddeev and V. N. Faddeeva",
title = "Computational Methods of Linear Algebra",
publisher = pub-FREEMAN,
address = pub-FREEMAN:adr,
pages = "????",
year = "1963",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Faddeev:1964:NML,
author = "D. K. Faddeev and V. N. Faddeeva",
title = "Numerische Methoden der Linearen Algebra",
publisher = "Veb Deutscher Verlag der Wissenschaften",
address = "Berlin",
pages = "????",
year = "1964",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "German edition. Photocopy from Ake Bjorck.",
}
@InProceedings{Faddeev:1968:SLAb,
author = "D. K. Faddeev and V. N. Kublanovskaja and V. N.
Faddeeva",
booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques,
Besan{\c{c}}on, 1966",
title = "Sur les syst\'emes lin\'eaires alg\'ebriques de
matrices rectangulaires et mal-condition\'ees",
volume = "7",
number = "165",
pages = "161--170",
year = "1968",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "{\'E}ditions Centre Nat. Recherche Sci., Paris",
}
@Book{Faddeeva:1959:CML,
author = "V. N. Faddeeva",
title = "Computational Methods of Linear Algebra",
publisher = pub-DOVER,
address = pub-DOVER:adr,
pages = "x + 252",
year = "1959",
ISBN = "0-486-60424-1",
ISBN-13 = "978-0-486-60424-4",
bibdate = "Fri Apr 7 10:54:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fairgrieve:1991:KFM,
author = "Thomas F. Fairgrieve and Allan D. Jepson",
title = "{O.K. Floquet} Multipliers",
journal = j-SINUM,
volume = "28",
number = "5",
pages = "1446--1462",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fairweather:1971:EEC,
author = "Graeme Fairweather",
title = "On the Eigenvalues and Eigenvectors of a Class of
{Hessenberg} Matrices",
journal = j-SIREV,
volume = "13",
number = "2",
pages = "220--221",
year = "1971",
bibdate = "Wed Jun 14 17:13:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fam:1988:ECM,
author = "Adly T. Fam",
title = "Efficient Complex Matrix Multiplication",
journal = j-IEEE-C,
volume = "C-37",
number = "7",
pages = "877--879",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fan:1951:MPI,
author = "K. Fan",
title = "Maximum properties and inequalities for the
eigenvalues of completely continuous operators",
journal = j-PROC-NAS,
volume = "37",
pages = "760--766",
year = "1951",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fan:1960:NM,
author = "Ky Fan",
title = "Note on {$M$}-Matrices",
journal = j-QUART-J-MATH,
volume = "11",
pages = "43--49",
year = "1960",
CODEN = "QJMAAT",
ISSN = "0033-5606 (print), 1464-3847 (electronic)",
ISSN-L = "0033-5606",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Quarterly Journal of Mathematics",
}
@Article{Fan:1955:SMI,
author = "Ky Fan and A. J. Hoffman",
title = "Some Metric Inequalities in the Space of Matrices",
journal = j-PROC-AMS,
volume = "6",
pages = "111--116",
year = "1955",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fan:1993:QCL,
author = "Michael K. H. Fan",
title = "A Quadratically Convergent Local Algorithm On
Minimizing the Largest Eigenvalue of a Symmetric
Matrix",
journal = j-LAA,
volume = "188",
pages = "231--253",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fan:1988:FNR,
author = "M. K. H. Fan and A. L. Tits",
title = "{$m$}-form numerical range and the computation of the
structured singular value",
journal = j-IEEE-AC,
volume = "AC-33",
pages = "284--289",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Fan:19xx:MCD,
author = "M. K. H. Fan and A. L. Tits",
title = "A Method for Computing the Distance of a Stable Matrix
to the Set of Unstable Matrices",
address = "????",
pages = "????",
year = "19xx",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@Article{Farebrother:1985:LUA,
author = "R. W. Farebrother",
title = "Linear Unbiased Approximators of the Disturbances in
the Standard Linear Model",
journal = j-LAA,
volume = "67",
pages = "259--274",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Farebrother:1987:MLM,
author = "R. W. Farebrother",
title = "A Memoir of the Life of {M. H. Doolittle}",
journal = j-IMA-BULL,
volume = "23",
number = "6/7",
pages = "102",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
mynote = "June/July",
}
@Article{Farebrother:1987:TTA,
author = "R. W. Farebrother",
title = "Three Theorems with Applications to {Euclidean}
Distance Matrices",
journal = j-LAA,
volume = "95",
pages = "11--16",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Farebrother:1988:LLS,
author = "R. W. Farebrother",
title = "Linear Least Squares Computations",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "xiii + 293",
year = "1988",
ISBN = "0-8247-7661-5",
ISBN-13 = "978-0-8247-7661-9",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Farnum:1988:CSF,
author = "Charles Farnum",
title = "Compiler Support for Floating-Point Computation",
journal = j-SPE,
volume = "18",
number = "7",
pages = "701--709",
year = "1988",
CODEN = "SPEXBL",
ISSN = "0038-0644 (print), 1097-024X (electronic)",
ISSN-L = "0038-0644",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Software---Practice and Experience",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-024X",
}
@TechReport{Farouki:1987:NCB,
author = "R. T. Farouki and V. T. Rajan",
title = "On the numerical condition of {Bernstein}
polynomials",
institution = "Report RC 12626, Manufacturing Research Department,
IBM Thomas J. Watson Research Center, Yorktown Heights,
New York",
address = "????",
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fateman:1982:HLL,
author = "Richard J. Fateman",
title = "High-Level Language Implications of the Proposed
{IEEE} Floating-Point Standard",
journal = j-TOPLAS,
volume = "4",
number = "2",
pages = "239--257",
month = apr,
year = "1982",
CODEN = "ATPSDT",
DOI = "https://doi.org/10.1145/357162.357168",
ISSN = "0164-0925 (print), 1558-4593 (electronic)",
ISSN-L = "0164-0925",
bibdate = "Thu Nov 8 14:50:28 2007",
bibsource = "Compiler/bevan.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/fortran2.bib;
http://www.math.utah.edu/pub/tex/bib/toplas.bib",
abstract = "An IEEE Computer Society working group on
floating-point arithmetic has recommended a standard
for binary floating-point number formats, operations,
and semantics. This paper, which has evolved in part
during the deliberations of that committee, describes
the significance to languages and, in particular, to
FORTRAN and its variants, of various novel features of
the recommended standard.",
acknowledgement = ack-pb,
checked = "19940302",
fjournal = "ACM Transactions on Programming Languages and
Systems",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J783",
keywords = "computer arithmetic; control structures; data types
and structures; error handling and recovery;
floating-point arithmetic; FORTRAN; run-time
environments",
source = "Dept. Library",
}
@InCollection{Feilmeier:1982:PNA,
author = "M. Feilmeier",
editor = "David J. Evans",
booktitle = "Parallel Processing Systems",
title = "Parallel Numerical Algorithms",
publisher = pub-CUP,
pages = "285--338",
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Feingold:1962:BDD,
author = "David G. Feingold and Richard S. Varga",
title = "Block Diagonally Dominant Matrices and Generalizations
of the {Gerschgorin} Circle Theorem",
journal = j-PACIFIC-MATH,
volume = "12",
pages = "1241--1250",
year = "1962",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Feldman:1990:FCC,
author = "S. I. Feldman and David M. Gay and Mark W. Maimone and
N. L. Schryer",
title = "A {Fortran} to {C} converter",
type = "Computing Science Technical Report",
number = "No. 149",
institution = inst-ATT,
address = inst-ATT:adr,
pages = "26",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Feldstein:1982:LSF,
author = "Alan Feldstein and Richard Goodman",
title = "Loss of Significance in Floating Point Subtraction and
Addition",
journal = j-IEEE-C,
volume = "C-31",
number = "4",
pages = "328--335",
year = "1982",
bibdate = "Sat Nov 19 13:37:20 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Feldstein:1986:OUS,
author = "Alan Feldstein and Peter Turner",
title = "Overflow, Underflow, and Severe Loss of Significance
in Floating-Point Addition and Subtraction",
journal = j-IMAJNA,
volume = "6",
pages = "241--251",
year = "1986",
bibdate = "Thu Nov 24 11:45:23 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Felippa:1975:SLE,
author = "C. A. Felippa",
title = "Solution of linear equations with skyline-stored
symmetric matrix",
journal = j-COMP-STRUCTURES,
volume = "5",
pages = "13--29",
year = "1975",
CODEN = "CMSTCJ",
ISSN = "0045-7949 (print), 1879-2243 (electronic)",
ISSN-L = "0045-7949",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computers and Structures",
journal-URL = "http://www.sciencedirect.com/science/journal/00457949",
}
@Article{Feller:1951:NMT,
author = "William Feller and George E. Forsythe",
title = "New Matrix Transformations For Obtaining
Characteristic Vectors",
journal = j-QUART-APPL-MATH,
volume = "8",
number = "4",
pages = "325--331",
year = "1951",
CODEN = "QAMAAY",
ISSN = "0033-569X (print), 1552-4485 (electronic)",
ISSN-L = "0033-569X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Quarterly of Applied Mathematics",
journal-URL = "http://dl.acm.org/citation.cfm?id=J641; http://www.ams.org/journals/qam",
}
@Article{Fenner:1974:SNB,
author = "T. I. Fenner and G. Loizou",
title = "Some New Bounds on the Condition Numbers of Optimally
Scaled Matrices",
journal = j-ACM,
volume = "21",
number = "3",
pages = "514--524",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Ferguson:1994:ECS,
author = "Warren E. {Ferguson, Jr.}",
title = "Exact Computation of a Sum or Difference with
Applications to Argument Reduction",
address = "????",
pages = "9",
year = "1994",
bibdate = "Fri Mar 3 11:20:46 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Submitted to 12th IEEE Symposium on Computer
Arithmetic",
}
@InProceedings{Knowles:1995:ECS,
author = "Warren E. {Ferguson, Jr.}",
editor = "Simon Knowles and William H. McAllister",
booktitle = "Proc. 12th IEEE Symposium on Computer Arithmetic,
Bath, England",
title = "Exact Computation of a Sum or Difference with
Applications to Argument Reduction",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "216--221",
year = "1995",
bibdate = "Mon Sep 18 08:42:12 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Details from author. Conf. was July 19-21, 1995.",
}
@InProceedings{Kornerup:1991:AMA,
author = "Warren E. {Ferguson, Jr.} and Tom Brightman",
editor = "Peter Kornerup and David W. Matula",
booktitle = "Proc. 10th IEEE Symposium on Computer Arithmetic",
title = "Accurate and Monotone Approximations of Some
Transcendental Functions",
publisher = pub-IEEE,
address = pub-IEEE:adr,
pages = "237--244",
year = "1991",
bibdate = "Sat Apr 1 13:09:08 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Fernando:1992:ASV,
author = "K. Vince Fernando and Beresford N. Parlett",
title = "Accurate Singular Values and Differential qd
Algorithms",
type = "Technical Report",
number = "TR2/92",
institution = "NAG Ltd.",
address = "Oxford",
pages = "????",
month = jul,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear in Numer. Math.",
}
@Article{Ferng:1991:ALM,
author = "William R. Ferng and Gene H. Golub and Robert J.
Plemmons",
title = "Adaptive {Lanczos} Methods for Recursive Condition
Estimation",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "1",
pages = "1--19",
year = "1991",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Feb 24 20:41:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Book{Fiacco:1968:NPS,
author = "A. V. Fiacco and G. P. McCormick",
title = "Nonlinear Programming: Sequential Unconstrained
Minimization Techniques",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1968",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "reprinted in SIAM Classics in Applied Mathematics
series, 1990",
}
@Book{Fiedler:1986:SMT,
author = "Miroslav Fiedler",
title = "Special Matrices and Their Applications in Numerical
Mathematics",
publisher = "Martinus Nijhoff Publishers",
address = "Dordrecht, The Netherlands",
pages = "xi + 307",
year = "1986",
ISBN = "90-247-2957-2",
ISBN-13 = "978-90-247-2957-9",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Nothing original or unusual here. Little on test
matrices. More just a mix of standard theoretical
matrix theory.",
}
@Article{Fiedler:1962:MNP,
author = "Miroslav Fiedler and Vlastimil Pt{\'a}k",
title = "On Matrices with Non-Positive Off-Diagonal Elements
and Positive Principal Minors",
journal = j-CZECH-MATH-J,
volume = "12",
number = "87",
pages = "382--400",
year = "1962",
CODEN = "CZMJAE",
ISSN = "0528-9181",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Czechoslovak mathematical journal = Chekhoslovatskii matematicheskii zhurnal",
}
@Article{Fike:1967:MEP,
author = "C. T. Fike",
title = "Methods of Evaluating Polynomial Approximations in
Function Evaluation Routines",
journal = j-CACM,
volume = "10",
number = "3",
pages = "175--178",
year = "1967",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Filipponi:1981:ACF,
author = "P. Filipponi",
title = "An algorithm for computing functions of triangular
matrices",
journal = j-COMPUTING,
volume = "26",
pages = "67--71",
year = "1981",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Proceedings{Fincham:1987:PC,
editor = "A. E. Fincham and B. Ford",
title = "Parallel Computation",
publisher = pub-OXFORD,
address = "????",
pages = "xi + 366",
year = "1987",
ISBN = "0-19-853680-1",
ISBN-13 = "978-0-19-853680-2",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "IMA Conference series No. 46, Little of interest.
Articles by Sven and Jeremy OK, but nothing new. Paper
`From Dinos to Rhinos' by Dongarra, but poor.",
}
@Article{Fischer:1983:CBD,
author = "J. Fischer",
title = "The convergence of the best discrete linear {$L_p$}
approximation as {$p\to 1$}",
journal = j-APPROX,
volume = "39",
pages = "374--385",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Fischer:1974:FSC,
author = "Patrick C. Fischer",
editor = "Jacques Loeckx",
booktitle = "Automata, Languages and Programming",
title = "Further Schemes for Combining Matrix Algorithms",
volume = "14",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "428--436",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@Article{Fischer:1969:PST,
author = "C. F. Fischer and R. A. Usmani",
title = "Properties of some tridiagonal matrices and their
applications to boundary value problems",
journal = j-SINUM,
volume = "6",
pages = "127--142",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Fischer:1974:EPU,
author = "Patrick C. Fischer and Robert L. Probert",
editor = "Jacques Loeckx",
booktitle = "Automata, Languages and Programming",
title = "Efficient Procedures for Using Matrix Algorithms",
volume = "14",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "413--427",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@Article{Fletcher:1965:FME,
author = "R. Fletcher",
title = "Function Minimization Without Evaluating
Derivatives---{A} Review",
journal = j-COMP-J,
volume = "8",
pages = "33--41",
year = "1965",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibdate = "Fri Sep 30 15:53:23 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Fletcher:1976:FSI,
author = "R. Fletcher",
title = "Factorizing Symmetric Indefinite Matrices",
journal = j-LAA,
volume = "14",
pages = "257--272",
year = "1976",
bibdate = "Sat Jan 28 19:01:38 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fletcher:1980:PMO,
author = "R. Fletcher",
title = "Practical Methods of Optimization, Volume 1,
Unconstrained Optimization",
publisher = pub-WILEY,
address = pub-WILEY:adr-C,
pages = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fletcher:1981:PMO,
author = "R. Fletcher",
title = "Practical Methods of Optimization, Volume 2,
Constrained Optimization",
publisher = pub-WILEY,
address = pub-WILEY:adr-C,
pages = "????",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1981:NPP,
author = "R. Fletcher",
title = "A nonlinear programming problem in statistics
(educational testing)",
journal = j-SISSC,
volume = "2",
pages = "257--267",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1984:SCF,
author = "R. Fletcher",
title = "The self consistent field problem",
journal = j-IMA-BULL,
volume = "20",
pages = "72--76",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
}
@Article{Fletcher:1985:EC,
author = "R. Fletcher",
title = "Expected Conditioning",
journal = j-IMAJNA,
volume = "5",
pages = "247--273",
year = "1985",
bibdate = "Wed Nov 16 18:26:51 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also Dundee Report NA/63.",
}
@Article{Fletcher:1985:SDM,
author = "R. Fletcher",
title = "Semi-definite matrix constraints in optimization",
journal = j-SIAM-CONTROL-OPT,
volume = "23",
pages = "493--513",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1986:CEQ,
author = "R. Fletcher",
title = "Cancellation Errors in Quasi-{Newton} Methods",
journal = j-SISSC,
volume = "7",
number = "4",
pages = "1387--1399",
year = "1986",
bibdate = "Wed Nov 16 18:21:25 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fletcher:1987:PMO,
author = "R. Fletcher",
title = "Practical Methods of Optimization",
publisher = pub-WILEY,
address = pub-WILEY:adr-C,
edition = "Second",
pages = "xiv + 436",
year = "1987",
ISBN = "0-471-91547-5",
ISBN-13 = "978-0-471-91547-8",
bibdate = "Fri Apr 7 11:03:42 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1988:DPR,
author = "R. Fletcher",
title = "Degeneracy in the Presence of Roundoff Errors",
journal = j-LAA,
volume = "106",
pages = "149--183",
year = "1988",
bibdate = "Tue Jan 31 18:18:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Fletcher:1990:LSM,
author = "R. Fletcher",
title = "Low storage methods for unconstrained optimization",
crossref = "Allgower:1990:CSN",
pages = "165--179",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Fletcher:1989:NVR,
author = "R. Fletcher",
title = "A new variational result for quasi-{Newton} formulae",
institution = "Report NA/119, Department of Mathematics and Computer
Science, University of Dundee",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@Article{Fletcher:1993:RDQ,
author = "R. Fletcher",
title = "Resolving Degeneracy in Quadratic Programming",
journal = j-ANN-OPER-RESEARCH,
volume = "47",
pages = "307--334",
year = "1993",
CODEN = "AOREEV",
ISSN = "0254-5330 (print), 1572-9338 (electronic)",
ISSN-L = "0254-5330",
bibdate = "Tue Jan 31 18:19:31 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Annals of Operations Research",
}
@TechReport{Fletcher:1994:SED,
author = "R. Fletcher",
title = "Steepest Edge, Degeneracy and Conditioning in {LP}",
type = "Numerical Analysis Report",
number = "NA/154",
institution = inst-U-Dundee,
address = inst-U-Dundee:adr,
pages = "21",
month = nov,
year = "1994",
bibdate = "Tue Jan 31 18:21:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1971:CLB,
author = "R. Fletcher and J. A. Grant and M. D. Hebden",
title = "The calculation of linear best ${L}_p$
approximations",
journal = j-COMP-J,
volume = "14",
pages = "276--279",
year = "1971",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@InProceedings{Fletcher:1990:TRL,
author = "R. Fletcher and J. A. J. Hall",
title = "Towards reliable linear programming",
crossref = "Griffiths:1990:NAP",
pages = "89--104",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "to appear in Proc. 1989 Dundee Conference",
mynote = "also Dundee report NA/120, October 89",
}
@Article{Fletcher:1984:SME,
author = "R. Fletcher and S. P. J. Matthews",
title = "Stable Modification of Explicit {LU} Factors for
Simplex Updates",
journal = j-MATH-PROG,
volume = "30",
pages = "267--284",
year = "1984",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Sat Jan 28 18:59:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Fletcher:1985:SAU,
author = "R. Fletcher and S. P. J. Matthews",
title = "A Stable Algorithm for Updating Triangular Factors
Under a Rank One Change",
journal = j-MATH-COMP,
volume = "45",
number = "172",
pages = "471--485",
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Sat Jan 28 19:00:24 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1963:RCD,
author = "R. Fletcher and M. J. D. Powell",
title = "A Rapidly Convergent Descent Method for Minimization",
journal = j-COMP-J,
volume = "6",
pages = "163--168",
year = "1963",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
mynote = "Second most cited paper in Math or Computer Science
1961-82. Fifth most cited 1945-88.",
}
@Article{Fletcher:1974:MF,
author = "R. Fletcher and M. J. D. Powell",
title = "On the Modification of {$LDL^T$} Factorizations",
journal = j-MATH-COMP,
volume = "28",
number = "128",
pages = "1067--1087",
year = "1974",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibdate = "Wed Nov 16 18:21:01 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fletcher:1983:ADJ,
author = "R. Fletcher and D. C. Sorensen",
title = "An Algorithmic Derivation of the {Jordan} Canonical
Form",
journal = j-AMM,
volume = "90",
number = "1",
pages = "12--16",
year = "1983",
bibdate = "Tue Jan 24 10:13:20 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Flowe:1993:NGV,
author = "Randolph P. Flowe and Gary A. Harris",
title = "A Note on Generalized {Vandermonde} Determinants",
journal = j-SIMAX,
volume = "4",
number = "4",
pages = "1146--1151",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Flury:1986:ASO,
author = "B. N. Flury and W. Gautschi",
title = "An algorithm for simultaneous orthogonal
transformation of several positive definite symmetric
matrices to nearly diagonal form",
journal = j-SISSC,
volume = "7",
pages = "169--184",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Forbes:1992:PCS,
author = "A. B. Forbes",
title = "Position Calibration Software for the Form Assessment
of Complex Workpieces",
type = "NPL Report",
number = "DITC 203/92",
institution = inst-NPL,
address = inst-NPL:adr,
pages = "????",
month = jul,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Orthogonal Procrustes used in getting starting values
for Gauss--Newton.",
}
@Article{Ford:1978:PET,
author = "Brian Ford",
title = "Parameterization of the Environment for Transportable
Numerical Software",
journal = j-TOMS,
volume = "4",
number = "2",
pages = "100--103",
year = "1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Ford:1986:SA,
editor = "B. Ford and J. Kok and M. W. Rogers",
title = "Scientific {Ada}",
publisher = pub-CUP,
address = "????",
pages = "388",
year = "1986",
ISBN = "0-521-33258-3",
ISBN-13 = "978-0-521-33258-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "In the Ada Companion series. Nothing of particular
note, and no detail on the Ada/Brown model, but good
stuff - the best I've seen for numerical
considerations.",
}
@Article{Ford:1976:DSN,
author = "B. Ford and D. K. Sayers",
title = "Developing a Single Numerical Algorithms Library for
Different Machine Ranges",
journal = j-TOMS,
volume = "2",
number = "2",
pages = "115--131",
year = "1976",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Forsgren:1995:CMN,
author = "Anders Forsgren and Philip E. Gill and Walter Murray",
title = "Computing Modified {Newton} Directions Using a Partial
{Cholesky} Factorization",
journal = j-SISC,
volume = "16",
number = "1",
pages = "139--150",
year = "1995",
bibdate = "Wed Mar 1 18:55:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsgren:1995:SSI,
author = "Anders Forsgren and Philip E. Gill and Joseph R.
Shinnerl",
title = "Stability of Symmetric Ill-Conditioned Systems Arising
in Interior Methods for Constrained Optimization",
journal = j-SIMAX,
volume = "16",
number = "4",
pages = "??--??",
year = "1995",
bibdate = "Sun Mar 19 15:30:53 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear",
}
@Article{Forsythe:1951:GGR,
author = "George E. Forsythe",
title = "Gauss to {Gerling} on Relaxation",
journal = j-MATH-TAB,
volume = "5",
pages = "255--258",
year = "1951",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1953:SLA,
author = "George E. Forsythe",
title = "Solving Linear Algebraic Equations Can Be
Interesting",
journal = j-BAMS,
volume = "59",
number = "4",
pages = "299--329",
year = "1953",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1957:GUO,
author = "G. E. Forsythe",
title = "Generation and Use of Orthogonal Polynomials for
Data-Fitting with a Digital Computer",
journal = j-J-SOC-IND-MATH,
volume = "5",
number = "2",
pages = "74--88",
year = "1957",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Read, but not copied.",
}
@Article{Forsythe:1959:SNS,
author = "George E. Forsythe",
title = "Singularity and Near Singularity in Numerical
Analysis",
journal = j-AMM,
volume = "65",
number = "4",
pages = "229--240",
year = "1959",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1959:RNR,
author = "George E. Forsythe",
title = "Reprint of a Note on Rounding-Off Errors",
journal = j-SIREV,
volume = "1",
number = "1",
pages = "66--67",
year = "1959",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1960:ACP,
author = "George E. Forsythe",
title = "{Algorithm 16}: {Crout} with Pivoting",
journal = j-CACM,
volume = "3",
number = "9",
pages = "507--508",
month = sep,
year = "1960",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/367390.367406",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:28 MST 2005",
bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Forsythe:1967:TCM,
author = "George E. Forsythe",
title = "Today's Computational Methods of Linear Algebra",
journal = j-SIREV,
volume = "9",
number = "3",
pages = "489--515",
year = "1967",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Forsythe:1969:WSQ,
author = "George E. Forsythe",
editor = "Bruno Dejon and Peter Henrici",
booktitle = "Constructive Aspects of the Fundamental Theorem of
Algebra",
title = "What is a Satisfactory Quadratic Equation Solver?",
publisher = pub-WI,
address = pub-WI:adr,
pages = "53--61",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Forsythe:1969:SQE,
author = "George E. Forsythe",
editor = "National Research Council's Committee on Support of
Research in the Mathematical Sciences",
booktitle = "The Mathematical Sciences: {A} Collection of Essays",
title = "Solving a Quadratic Equation on a Computer",
publisher = pub-MIT,
address = pub-MIT:adr,
pages = "138--152",
year = "1969",
bibdate = "Thu Sep 14 12:41:36 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1970:PCW,
author = "George E. Forsythe",
title = "Pitfalls in Computation, or Why a Math Book Isn't
Enough",
journal = j-AMM,
volume = "77",
pages = "931--956",
year = "1970",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1960:CJM,
author = "G. E. Forsythe and P. Henrici",
title = "The cyclic {Jacobi} method for computing the principal
values of a complex matrix",
journal = j-TRANS-AMS,
volume = "94",
pages = "1--23",
year = "1960",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1955:BCM,
author = "G. E. Forsythe and E. G. Straus",
title = "On Best Conditioned Matrices",
journal = j-PROC-AMS,
volume = "6",
pages = "340--345",
year = "1955",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Forsythe:1977:CMM,
author = "George E. (George Elmer) Forsythe and Michael A.
Malcolm and Cleve B. Moler",
title = "Computer Methods for Mathematical Computations",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xi + 259",
year = "1977",
ISBN = "0-13-165332-6",
ISBN-13 = "978-0-13-165332-0",
LCCN = "QA297 .F5681",
MRclass = "65-01",
MRnumber = "MR0458783 (56 \#16983)",
MRreviewer = "Sven-{\AA}ke Gustafson",
bibdate = "Tue May 25 09:01:08 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
http://www.math.utah.edu/pub/bibnet/authors/m/moler-cleve-b.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/fortran1.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
note = "Cited in {\AA}ke Bj{\"o}rck's bibliography on least
squares, which is available by anonymous ftp from
\path=math.liu.se= in \path=pub/references=",
price = "US\$16.95",
series = "Prentice-Hall series in automatic computation",
ZMnumber = "0361.65002",
acknowledgement = ack-nhfb,
classmath = "*65-01 Textbooks (numerical analysis) 68-01 Textbooks
(computer science)",
keywords = "Fortran (computer program language); numerical
analysis -- data processing",
remark = "Subroutines and exercises for the computer solution of
problems involving matrices, integrals, differential
equations, spline functions, zeros and extrema of
functions, least squares, and Monte Carlo techniques.",
subject = "Numerical analysis; Data processing; Computer
programs; Problems, exercises, etc; FORTRAN (Computer
program language)",
tableofcontents = "Introduction \\
Floating-point computation \\
Linear systems of equations \\
Interpolation \\
Numerical integration \\
Initial value problems in ordinary differential
equations \\
Solution of nonlinear equations \\
Optimization \\
Least squares and the singular value decomposition \\
Random number generation and Monte Carlo methods",
}
@Book{Forsythe:1967:CSL,
author = "George E. Forsythe and Cleve B. Moler",
title = "Computer Solution of Linear Algebraic Systems",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xi + 148",
year = "1967",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Forsythe:1952:EGT,
author = "George E. Forsythe and Theodore S. Motzkin",
title = "An Extension of {Gauss'} Transformation for Improving
the Condition of Systems of Linear Equations",
journal = j-MATH-TAB,
volume = "6",
number = "37",
pages = "9--17",
year = "1952",
bibdate = "Sun Dec 18 15:31:19 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fosdick:1979:PEN,
editor = "Lloyd D. Fosdick",
title = "Performance Evaluation of Numerical Software",
publisher = pub-NH,
address = pub-NH:adr,
pages = "xi + 335",
year = "1979",
ISBN = "0-444-85330-8",
ISBN-13 = "978-0-444-85330-1",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Proceedings of IFIP Tech. Committee 2.5 Working Conf
on <title>. In Math Res. lib. Some good authors, but
nothing copied.",
}
@InProceedings{Fosdick:1979:DEP,
author = "L. D. Fosdick",
title = "Detecting errors in programs",
crossref = "Fosdick:1979:PEN",
pages = "77--87",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Foster:1986:RNS,
author = "Leslie V. Foster",
title = "Rank and Null Space Calculations Using Matrix
Decomposition Without Column Interchanges",
journal = j-LAA,
volume = "74",
pages = "47--71",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Foster:1990:PLD,
author = "L. V. Foster",
title = "The Probability of Large Diagonal Elements in the
{$QR$} Factorization",
journal = j-SISSC,
volume = "11",
pages = "531--544",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Foster:1991:MNE,
author = "Leslie Foster",
editor = "G. H. Golub and P. M. {Van Dooren}",
booktitle = "Numerical Linear Algebra, Digital Signal Processing
and Parallel Algorithms",
title = "Modifications of the Normal Equations Method That Are
Numerically Stable",
volume = "F70",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "501--512",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "NATO ASI Series",
mynote = "Leuven 1988",
}
@Article{Foster:1994:GEP,
author = "Leslie V. Foster",
title = "Gaussian Elimination with Partial Pivoting Can Fail in
Practice",
journal = j-SIMAX,
volume = "15",
number = "4",
pages = "1354--1362",
year = "1994",
bibdate = "Sun Oct 30 22:32:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Foulds:1981:OTI,
author = "L. R. Foulds",
title = "Optimization Techniques: An Introduction",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "????",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fox:1969:ALA,
author = "B. L. Fox",
title = "Accelerating {LP} Algorithms",
journal = j-CACM,
volume = "12",
number = "7",
pages = "384--385",
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Fox:1977:CCH,
author = "Kenneth Fox and Burton J. Krohn",
title = "Computation of Cubic Harmonics",
journal = j-J-COMP-PHYS,
volume = "25",
pages = "386--408",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fox:1964:INL,
author = "L. Fox",
title = "An Introduction to Numerical Linear Algebra",
publisher = pub-OXFORD,
address = "????",
pages = "xi + 328",
year = "1964",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Reprinted with corrections William Clowes, 1973",
}
@Article{Fox:1971:HGM,
author = "L. Fox",
title = "How to Get Meaningless Answers in Scientific
Computation (and What to Do About it)",
journal = j-IMA-BULL,
volume = "7",
number = "10",
pages = "296--302",
year = "1971",
bibdate = "Wed Feb 15 21:40:25 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
}
@InProceedings{Fox:1978:AAJ,
author = "L. Fox",
booktitle = "The Contribution of {Dr. J. H. Wilkinson} to Numerical
Analysis",
title = "All About {Jim Wilkinson}, with a Commemorative
Snippet on Backward Error Analysis",
publisher = inst-IMA-UK,
address = inst-IMA-UK:adr,
pages = "1--20",
year = "1978",
bibdate = "Mon Nov 21 22:18:58 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Symposium Proceedings Series No. 19",
}
@Article{Fox:1987:JHW,
author = "L. Fox",
title = "{James Hardy Wilkinson}, 1919--1986",
journal = j-BIOGRAPH-MEMOIRS-FELLOWS-ROY-SOC,
volume = "33",
pages = "671--708",
year = "1987",
CODEN = "BMFRA3",
ISSN = "0080-4606 (print), 1748-8494 (electronic)",
ISSN-L = "0080-4606",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Biographical Memoirs of Fellows of the Royal Society",
journal-URL = "http://www.jstor.org/journals/00804606.html",
}
@InProceedings{Fox:1990:ENA,
author = "L. Fox",
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "Early Numerical Analysis in the {United Kingdom}",
publisher = pub-AW,
address = pub-AW:adr,
pages = "280--300",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Nash:1990:HSC",
mynote = "Good on relaxation methods, math. tables, early days
of NPL.",
}
@InProceedings{Fox:1990:EJW,
author = "L. Fox",
editor = "M. G. Cox and S. J. Hammarling",
booktitle = "Reliable Numerical Computation",
title = "Epilogue. {Jim Wilkinson}: {Some} After-Dinner
Sentiments",
publisher = pub-OXFORD,
pages = "329--335",
year = "1990",
bibdate = "Wed Jan 25 09:19:47 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cox:1990:RNC",
}
@Article{Fox:1967:ABE,
author = "L. Fox and P. Henrici and C. B. Moler",
title = "Approximations and bounds for eigenvalues of elliptic
operators",
journal = j-SINUM,
volume = "4",
pages = "89--102",
year = "1967",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fox:1948:NSA,
author = "L. Fox and H. D. Huskey and J. H. Wilkinson",
title = "Notes on the Solution of Algebraic Linear Simultaneous
Equations",
journal = j-QJMAM,
volume = "1",
pages = "149--173",
year = "1948",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fox:1968:CMS,
author = "L. Fox and D. F. Mayers",
title = "Computing Methods for Scientists and Engineers",
publisher = pub-OXFORD,
address = "????",
pages = "xii + 255",
year = "1968",
bibdate = "Sun Mar 19 15:27:39 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Quite a lot of error analysis, but all JHW stuff -
nothing original. Good for the time, but nothing of
note.",
}
@Book{Fox:1968:CPN,
author = "L. Fox and I. B. Parker",
title = "Chebyshev Polynomials in Numerical Analysis",
publisher = pub-OXFORD,
address = "????",
pages = "????",
year = "1968",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "JRUL: 517",
}
@Article{Fox:1978:PMS,
author = "P. A. Fox and A. D. Hall and N. L. Schryer",
title = "The {PORT} Mathematical Subroutine Library",
journal = j-TOMS,
volume = "4",
number = "2",
pages = "104--126",
year = "1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Franca:1989:ACS,
author = "L. P. Franca",
title = "An Algorithm to Compute the Square Root of a {$3
\times 3$} Positive Definite Matrix",
journal = j-COMPUT-MATH-APPL,
volume = "18",
number = "5",
pages = "459--466",
year = "1989",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
mynote = "Utter rubbish!",
}
@InProceedings{Francois:1991:SPM,
author = "Philippe Fran{\c{c}}ois and Jean-Michel Muller",
booktitle = "Proceedings of IMACS '91, 13th World Congress on
Computation and Applied Mathematics, Dublin, Volume 1",
title = "The {SCALP} Perturbation Method",
pages = "59--60",
year = "1991",
bibdate = "Tue Mar 7 08:45:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Frank:1958:CEC,
author = "Werner L. Frank",
title = "Computing Eigenvalues of Complex Matrices by
Determinant Evaluation and by Methods of {Danilewski}
and {Wielandt}",
journal = j-J-SOC-IND-MATH,
volume = "6",
number = "4",
pages = "378--392",
year = "1958",
bibdate = "Mon Sep 4 09:32:05 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@PhdThesis{Fraysse:1992:RCS,
author = "V. Frayss{\'e}",
title = "Reliability of Computer Solutions",
school = "L'Institut National Polytechnique de Toulouse",
address = "Toulouse, France",
pages = "????",
month = jul,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "CERFACS Report TH/PA/92/11",
}
@Article{Freeman:1979:MCA,
author = "T. L. Freeman",
title = "A method for computing all the zeros of a polynomial
with real coefficients",
journal = j-BIT,
volume = "19",
pages = "321--333",
year = "1979",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@TechReport{Freeman:1980:SVS,
author = "T. L. Freeman",
title = "Solution of {Vandermonde} systems of equations: {An}
alternative view",
type = "Numerical Analysis Report",
number = "No. 45",
institution = inst-U-Manchester,
address = inst-U-Manchester:adr,
pages = "????",
year = "1980",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Freeman:1992:PNA,
author = "T. L. Freeman and C. Phillips",
title = "Parallel Numerical Algorithms",
publisher = pub-PH,
address = pub-PH:adr,
pages = "????",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "ISBN 0-13-651597-5. Prentice Hall International Series
in Computer Science, C. A. R. Hoare, Series Editor.
Softback: \pounds 19.95 (UK).",
}
@TechReport{Freund:1990:CGT,
author = "R. W. Freund",
title = "Conjugate gradient type methods for linear systems
with complex symmetric coefficient matrices",
address = "????",
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "to appear in SIAM J. Sci. Stat. Comput.",
}
@Article{Freund:1993:TFQ,
author = "Roland W. Freund",
title = "A Transpose-Free Quasi-Minimal Residual Algorithm for
Non-{Hermitian} Linear Systems",
journal = j-SISC,
volume = "14",
number = "2",
pages = "470--482",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Freund:1992:ISL,
author = "R. W. Freund and G. H. Golub and N. M. Nachtigal",
booktitle = "Acta Numerica",
title = "Iterative Solution of Linear Systems",
publisher = pub-CUP,
pages = "57--100",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Friedland:1991:RMS,
author = "Shmuel Friedland",
title = "Revisiting Matrix Squaring",
journal = j-LAA,
volume = "154-156",
pages = "59--63",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Friedland:1987:FAN,
author = "S. Friedland and J. Nocedal and M. L. Overton",
title = "The formulation and analysis of numerical methods for
inverse eigenvalue problems",
journal = j-SINUM,
volume = "24",
pages = "634--667",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Also Tech. Rep. 179, Dept CS, New York Univ, Sept.
1985",
}
@Article{Friedland:1980:GPN,
author = "Shmuel Friedland and Hans Schneider",
title = "The Growth of Powers of a Nonnegative Matrix",
journal = j-SIAD,
volume = "1",
number = "2",
pages = "185--200",
year = "1980",
bibdate = "Thu Nov 24 14:11:42 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Fritsch:1973:STE,
author = "F. N. Fritsch and R. E. Shafer and W. P. Crowley",
title = "Solution of the Transcendental Equation {$we^w =
\chi$}",
journal = j-CACM,
volume = "16",
number = "2",
pages = "123--124",
year = "1973",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InCollection{Froeberg:1953:SLS,
author = "Carl-Erik Fr{\"o}berg",
editor = "L. J. Paige and Olga Taussky",
booktitle = "Simultaneous Linear Equations and the Determination of
Eigenvalues",
title = "Solutions of Linear Systems on a Relay Machine",
number = "29",
publisher = "National Bureau of Standards, United States Department
of Commerce",
address = "Washington, DC",
pages = "39--42",
year = "1953",
bibdate = "Sun Dec 18 15:23:29 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Applied Mathematics Series",
}
@Book{Froberg:1969:INA,
author = "C.-E. Froberg",
title = "Introduction to Numerical Analysis",
publisher = pub-AW,
address = pub-AW:adr,
edition = "Second Edition",
pages = "????",
year = "1969",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Froeberg:1990:BCC,
author = "Carl-Erik Fr{\"o}berg",
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "{BIT}---{A} Child of the Computer",
publisher = pub-AW,
address = pub-AW:adr,
pages = "228--233",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Fuller:1987:MEM,
author = "W. A. Fuller",
title = "Measurement Error Models",
publisher = pub-WILEY,
address = pub-WILEY:adr,
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Funaro:1988:CIC,
author = "D. Funaro",
title = "Computing the inverse of the {Chebyshev} collocation
derivative",
journal = j-SISSC,
volume = "9",
pages = "1050--1057",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Funderlic:1982:DGD,
author = "R. E. Funderlic and M. Neumann and R. J. Plemmons",
title = "{$LU$} Decompositions of Generalized Diagonally
Dominant Matrices",
journal = j-NUM-MATH,
volume = "40",
pages = "57--69",
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Funderlic:1986:SSD,
author = "R. E. Funderlic and C. D. {Meyer, Jr.}",
title = "Sensitivity of the stationary distribution vector for
an ergodic {Markov} chain",
journal = j-LAA,
volume = "76",
pages = "1--17",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Funderlic:1981:DME,
author = "R. E. Funderlic and R. J. Plemmons",
title = "{$LU$} Decomposition of {$M$}-Matrices by Elimination
Without Pivoting",
journal = j-LAA,
volume = "41",
pages = "99--110",
year = "1981",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Funderlic:1986:ULF,
author = "R. E. Funderlic and R. J. Plemmons",
title = "Updating {LU} factorizations for computing stationary
distributions",
journal = j-SIAD,
volume = "7",
pages = "30--42",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Funderlic:1986:UFC,
author = "R. E. Funderlic and R. J. Plemmons",
title = "Updating {$LU$} factorizations for computing
stationary distributions",
journal = j-SIAD,
volume = "7",
number = "1",
pages = "30--42",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gabriel:1979:MMD,
author = "R. Gabriel",
title = "Matrizen mit maximaler Diagonale bei {unit\"arer}
{Similarit\"at}",
journal = j-J-REINE-ANG-MATH,
volume = "307/308",
pages = "31--52",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gabriel:1987:NMC,
author = "R. Gabriel",
title = "The normal {$\Delta H$}-matrices with connection to
some {Jacobi}-like methods",
journal = j-LAA,
volume = "91",
pages = "181--194",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gahinet:1990:SSD,
author = "Pascal M. Gahinet and Alan J. Laub and Charles S.
Kenney and Gary A. Hewer",
title = "Sensitivity of the Stable Discrete-Time {Lyapunov}
Equation",
journal = j-IEEE-AC,
volume = "AC-35",
number = "11",
pages = "1209--1217",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gal:1991:AEM,
author = "Shmuel Gal and Boris Bachelis",
title = "An Accurate Elementary Mathematical Library for the
{IEEE} Floating Point Standard",
journal = j-TOMS,
volume = "17",
number = "1",
pages = "26--45",
year = "1991",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Fri Jan 6 17:52:27 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
mynote = "Not copied. Uses Knuth poly eval trick in log(x) poly
approx.",
}
@Article{Galant:1971:ICT,
author = "David Galant",
title = "An Implementation of {Christoffel}'s Theorem in the
Theory of Orthogonal Polynomials",
journal = j-MATH-COMP,
volume = "25",
number = "113",
pages = "111--113",
year = "1971",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Galimberti:1970:NDS,
author = "G. Galimberti and V. Pereyra",
title = "Numerical Differentiation and the Solution of
Multidimensional {Vandermonde} Systems",
journal = j-MATH-COMP,
volume = "24",
number = "110",
pages = "357--364",
year = "1970",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Galimberti:1971:SCV,
author = "G. Galimberti and V. Pereyra",
title = "Solving Confluent {Vandermonde} Systems of {Hermite}
Type",
journal = j-NUM-MATH,
volume = "18",
pages = "44--60",
year = "1971",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Book{Gallian:1994:CAA,
author = "Joseph A. Gallian",
title = "Contemporary Abstract Algebra",
publisher = pub-DCH,
address = pub-DCH:adr,
edition = "Third",
pages = "xix + 525 + 52 pages back matter",
year = "1994",
ISBN = "0-669-33907-5",
ISBN-13 = "978-0-669-33907-9",
bibdate = "Fri Aug 11 12:18:38 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Lots of good quotes and biographies of
mathematicians.",
}
@Article{Galligani:1994:EAN,
author = "E. Galligani and A. Laratta",
title = "Error Analysis of Null Space Algorithm for Linear
Equality Constrained Least Squares Problems",
journal = j-COMPUTING,
volume = "52",
pages = "161--176",
year = "1994",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Gallivan:1987:UBL,
author = "Kyle Gallivan and William Jalby and Ulrike Meier",
title = "The Use of {BLAS3} in Linear Algebra on a Parallel
Processor with a Hierarchical Memory",
journal = j-SISSC,
volume = "8",
number = "6",
pages = "1079--1084",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gallivan:1988:IHM,
author = "Kyle Gallivan and William Jalby and Ulrike Meier and
Ahmed Sameh",
title = "Impact of Hierarchical Memory Systems on Linear
Algebra Algorithm Design",
journal = j-IJSA,
volume = "2",
number = "1",
pages = "12--48",
year = "1988",
CODEN = "IJSAE9",
ISSN = "0890-2720",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "International Journal of Supercomputer Applications",
journal-URL = "http://hpc.sagepub.com/content/by/year",
}
@Article{Gallivan:1990:PAD,
author = "K. A. Gallivan and R. J. Plemmons and A. H. Sameh",
title = "Parallel Algorithms for Dense Linear Algebra
Computations",
journal = j-SIREV,
volume = "32",
pages = "54--135",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gallivan:1990:PAM,
author = "K. A. Gallivan and M. T. Heath and E. Ng and J. M.
Ortega and B. W. Peyton and R. J. Plemmons and C. H.
Romine and A. H. Sameh and R. G. Voigt",
title = "Parallel Algorithms for Matrix Computations",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "????",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gander:1985:HIM,
author = "W. Gander",
title = "On {Halley}'s iteration method",
journal = j-AMM,
volume = "92",
pages = "131--134",
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gander:1990:APD,
author = "Walter Gander",
title = "Algorithms for the Polar Decomposition",
journal = j-SISSC,
volume = "11",
number = "6",
pages = "1102--1115",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gander:1989:CEP,
author = "W. Gander and G. H. Golub and U. Von Matt",
title = "A constrained eigenvalue problem",
journal = j-LAA,
volume = "114/115",
pages = "815--839",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gander:1993:SPS,
author = "Walter Gander and Ji{\v{r}}{\i}
H{\v{r}}eb{\i}{\v{c}}ek",
title = "Solving Problems in Scientific Computing Using {Maple}
and {Matlab}",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "xiii + 268",
year = "1993",
ISBN = "3-540-57329-1",
ISBN-13 = "978-3-540-57329-6",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gantmacher:1959:TMa,
author = "F. R. Gantmacher",
title = "The Theory of Matrices",
volume = "one",
publisher = "Chelsea",
address = "New York",
pages = "x + 374",
year = "1959",
ISBN = "0-8284-0131-4",
ISBN-13 = "978-0-8284-0131-9",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gantmacher:1959:TMb,
author = "F. R. Gantmacher",
title = "The Theory of Matrices",
volume = "two",
publisher = "Chelsea",
address = "New York",
pages = "ix + 276",
year = "1959",
ISBN = "0-8284-0133-0",
ISBN-13 = "978-0-8284-0133-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gantmakher:1937:MCN,
author = "F. Gantmakher and M. Krein",
title = "Sur les Matrices Compl{\`e}tement Non {N}{\'e}gatives
et Oscillatoires",
journal = j-COMPOS-MATH,
volume = "4",
pages = "445--476",
year = "1937",
CODEN = "CMPMAF",
ISSN = "0010-437X (print), 1570-5846 (electronic)",
ISSN-L = "0010-437X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Compositio Mathematica",
}
@Book{Garbow:1977:MER,
author = "B. S. Garbow and J. M. Boyle and J. J. Dongarra and C.
B. Moler",
title = "Matrix Eigensystem Routines---{EISPACK} Guide
Extension",
volume = "51",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "????",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Computer Science",
}
@Article{Gardiner:1986:GMS,
author = "Judith D. Gardiner and Alan J. Laub",
title = "A Generalization of the Matrix-Sign-Function Solution
for Algebraic {Riccati} Equations",
journal = j-INT-J-CTL,
volume = "44",
number = "3",
pages = "823--832",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InCollection{Gardiner:1988:SAR,
author = "Judith D. Gardiner and Alan J. Laub",
editor = "G. Fox",
booktitle = "Hypercube Concurrent Computers and Applications, Vol.
II",
title = "Solving the Algebraic {Riccati} Equation on a
Hypercube Multiprocessor",
publisher = pub-ACM,
address = pub-ACM:adr,
pages = "1562--1568",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gardiner:1991:PAA,
author = "Judith D. Gardiner and Alan J. Laub",
title = "Parallel Algorithms for Algebraic {Riccati}
Equations",
journal = j-INT-J-CTL,
volume = "54",
number = "6",
pages = "1317--1333",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gardiner:1992:SSM,
author = "Judith D. Gardiner and Alan J. Laub and James J. Amato
and Cleve B. Moler",
title = "Solution of the {Sylvester} Matrix Equation
{$AXB^T+CXD^T=E$}",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "223--231",
year = "1992",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Gardiner:1992:AFS,
author = "Judith D. Gardiner and Matthew R. Wette and Alan J.
Laub and James J. Amato and Cleve B. Moler",
title = "Algorithm 705: {A FORTRAN}-77 Software Package for
Solving the {Sylvester} Matrix Equation
{$AXB^T+CXD^T=E$}",
journal = j-TOMS,
volume = "18",
number = "2",
pages = "232--238",
year = "1992",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Garey:1979:CIG,
author = "Michael R. Garey and David S. Johnson",
title = "Computers and Intractability: {A} Guide to the Theory
of {NP}-Completeness",
publisher = pub-FREEMAN,
address = pub-FREEMAN:adr,
pages = "????",
year = "1979",
ISBN = "0-7167-1045-5",
ISBN-13 = "978-0-7167-1045-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Garner:1976:SSR,
author = "Harvey L. Garner",
title = "A Survey of Some Recent Contributions to Computer
Arithmetic",
journal = j-IEEE-C,
volume = "C-25",
number = "12",
pages = "1277--1282",
year = "1976",
bibdate = "Sat Apr 15 11:26:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gasca:1992:TPN,
author = "M. Gasca and J. M. Pe{\~n}a",
title = "Total Positivity and {Neville} Elimination",
journal = j-LAA,
volume = "165",
pages = "25--44",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gasca:1993:TPF,
author = "M. Gasca and J. M. Pe{\~n}a",
title = "Total Positivity, {$QR$} Factorization, and {Neville}
Elimination",
journal = j-SIMAX,
volume = "4",
number = "4",
pages = "1132--1140",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gastinel:1983:LNA,
author = "Noel Gastinel",
title = "Linear Numerical Analysis",
publisher = "Kershaw Publishing",
address = "London",
pages = "ix + 341",
year = "1983",
ISBN = "0-901665-16-9",
ISBN-13 = "978-0-901665-16-4",
bibdate = "Thu Sep 14 12:46:43 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "First published in English by Academic Press, London,
1970",
mynote = "Not sure whether London or New York for note field -
check.",
}
@Article{Gautschi:1953:ABPa,
author = "Walter Gautschi",
title = "The Asymptotic Behaviour of Powers of Matrices",
journal = j-DUKE-MATH-J,
volume = "20",
pages = "127--140",
year = "1953",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Thu Jan 19 07:50:37 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Gautschi:1953:ABPb,
author = "Walter Gautschi",
title = "The Asymptotic Behaviour of Powers of Matrices. {II}",
journal = j-DUKE-MATH-J,
volume = "20",
pages = "375--379",
year = "1953",
CODEN = "DUMJAO",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
bibdate = "Thu Jan 19 07:50:37 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@Article{Gautschi:1962:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "4",
pages = "117--123",
year = "1962",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1963:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices. {II}",
journal = j-NUM-MATH,
volume = "5",
pages = "425--430",
year = "1963",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1967:CAT,
author = "Walter Gautschi",
title = "Computational Aspects of Three-Term Recurrence
Relations",
journal = j-SIREV,
volume = "9",
number = "1",
pages = "24--82",
year = "1967",
bibdate = "Thu Oct 13 11:11:11 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not copied. Has a good section on evaluating continued
fractions. Plenty on Bessel recurrences, etc. Worth
looking at again if want to know about recurrences.",
}
@Article{Gautschi:1969:CMA,
author = "Walter Gautschi",
title = "On the Condition of a Matrix Arising in the Numerical
Inversion of the {Laplace} Transform",
journal = j-MATH-COMP,
volume = "23",
number = "105",
pages = "109--118",
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gautschi:1975:OCV,
author = "Walter Gautschi",
title = "Optimally Conditioned {Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "24",
pages = "1--12",
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1975:NEI,
author = "Walter Gautschi",
title = "Norm Estimates for Inverses of {Vandermonde}
Matrices",
journal = j-NUM-MATH,
volume = "23",
pages = "337--347",
year = "1975",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1978:IVC,
author = "Walter Gautschi",
title = "On Inverses of {Vandermonde} and Confluent
{Vandermonde} Matrices {III}",
journal = j-NUM-MATH,
volume = "29",
pages = "445--450",
year = "1978",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
mynote = "15A12, 65F35",
}
@InProceedings{Gautschi:1978:QNC,
author = "Walter Gautschi",
title = "Questions of Numerical Condition Related to
Polynomials",
crossref = "DBGO78",
pages = "45--72",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gautschi:1983:CVL,
author = "Walter Gautschi",
title = "The Condition of {Vandermonde}-Like Matrices Involving
Orthogonal Polynomials",
journal = j-LAA,
volume = "52/53",
pages = "293--300",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gautschi:1983:HHC,
author = "Walter Gautschi",
title = "How and How Not to Check {Gaussian} Quadrature
Formulae",
journal = j-BIT,
volume = "23",
pages = "209--216",
year = "1983",
CODEN = "BITTEL",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "BIT (Nordisk tidskrift for informationsbehandling)",
journal-URL = "http://link.springer.com/journal/10543",
}
@InProceedings{Gautschi:1990:HSV,
author = "Walter Gautschi",
editor = "R. Wong",
booktitle = "Asymptotic and Computational Analysis",
title = "How (Un)stable are {Vandermonde} Systems?",
volume = "124",
publisher = pub-DEKKER,
address = pub-DEKKER:adr,
pages = "193--210",
year = "1990",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Lecture Notes in Pure and Applied Mathematics",
mynote = "crossref Wong:1990:ACA",
}
@Proceedings{Gautschi:1994:MCH,
editor = "Walter Gautschi",
title = "{Mathematics of Computation} 1943--1993: {A} Half
Century of Computational Mathematics",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 643",
year = "1994",
ISBN = "0-8218-0291-7",
ISBN-13 = "978-0-8218-0291-5",
bibdate = "Fri Mar 24 08:51:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Proceedings of Symposia in Applied Mathematics",
}
@Article{Gautschi:1988:LBC,
author = "Walter Gautschi and Gabriele Inglese",
title = "Lower Bounds for the Condition Number of {Vandermonde}
Matrices",
journal = j-NUM-MATH,
volume = "52",
pages = "241--250",
year = "1988",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gay:1979:SCP,
author = "D. M. Gay",
title = "Some convergence properties of {Broyden}'s method",
journal = j-SINUM,
volume = "16",
pages = "623--630",
year = "1979",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Broyden cges in at most 2n steps for linear f.",
}
@Article{Gay:1985:EMD,
author = "David M. Gay",
title = "Electronic Mail Distribution of Linear Programming
Test Problems",
journal = j-MATH-PROG-SOC-COAL-NEWSLETTER,
pages = "10--12",
month = dec,
year = "1985",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming Society Committee on Algorithms Newsletter",
}
@InProceedings{Gay:1988:ILS,
author = "David M. Gay",
editor = "Ramon E. Moore",
booktitle = "Reliability in Computing: {The} Role of Interval
Methods in Scientific Computing",
title = "Interval Least Squares---{A} Diagnostic Tool",
publisher = pub-AP,
address = pub-AP:adr-B,
pages = "183--205",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "ramo88",
}
@TechReport{Gay:1990:CRB,
author = "David M. Gay",
title = "Correctly Rounded Binary-Decimal and Decimal-Binary
Conversions",
type = "Numerical Analysis Manuscript",
number = "90-10",
institution = inst-ATT,
address = inst-ATT:adr,
pages = "16",
month = nov,
year = "1990",
bibdate = "Wed Apr 5 18:58:42 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gay:1991:MMB,
author = "D. M. Gay",
title = "Massive memory buys little speed for complete, in-core
sparse {Cholesky} factorizations on some scalar
computers",
journal = j-LAA,
volume = "152",
pages = "291--314",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Gay:1984:TRA,
author = "D. M. Gay",
title = "A trust-region approach to linearly constrained
optimization",
crossref = "Griffiths:1984:NAD",
pages = "72--105",
year = "1984",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Gay:1987:ULL,
author = "D. M. Gay",
title = "Using a large library on a small machine",
crossref = "Wouk:1987:NCE",
pages = "80--91",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Gay:1978:SSN,
author = "D. M. Gay and R. B. Schnabel",
title = "Solving systems of nonlinear equations by {Broyden}'s
method with projected updates",
crossref = "Mangasarian:1978:NPP",
pages = "245--281",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not copied - Schnabel 1983 largely subsumes this.",
}
@Article{Anonymous:1924:GFN,
author = "Anonymous",
key = "Mathematical Gazette",
title = "Gleanings Far and Near",
journal = j-MATH-GAZ,
volume = "22",
number = "170",
pages = "95",
year = "1924",
CODEN = "MAGAAS",
ISSN = "0025-5572 (print), 2056-6328 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Gazette",
journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620",
mynote = "Mrs La Touche `sums' quote.",
}
@Article{Gear:1969:SST,
author = "C. W. Gear",
title = "A Simple Set of Test Matrices for Eigenvalue
Programs",
journal = j-MATH-COMP,
volume = "23",
number = "105",
pages = "119--125",
year = "1969",
CODEN = "MCMPAF",
ISSN = "0025-5718 (paper), 1088-6842 (electronic)",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@InProceedings{Gear:1977:SCB,
author = "C. W. Gear",
title = "Simulation: Conflicts between real-time and software",
crossref = "Rice:1977:MSI",
pages = "??--??",
year = "1977",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gehringer:1988:SCP,
author = "E. F. Gehringer and J. Abullarade and M. H. Gulyn",
title = "A survey of commercial parallel processors",
journal = j-COMP-ARCH-NEWS,
volume = "16",
pages = "75--107",
year = "1988",
CODEN = "CANED2",
ISSN = "0163-5964 (ACM), 0884-7495 (IEEE)",
ISSN-L = "0163-5964",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM SIGARCH Computer Architecture News",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J89",
mynote = "Sept.",
}
@Article{Geist:1991:RGM,
author = "George A. Geist",
title = "Reduction of a General Matrix to Tridiagonal Form",
journal = j-SIMAX,
volume = "12",
number = "2",
pages = "362--373",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Geist:1989:SGR,
author = "G. A. Geist and A. Lu and E. L. Wachpress",
title = "Stabilized {Gaussian} reduction of an arbitrary matrix
to tridiagonal form",
institution = "Report ORNL/TM-11089, Oak Ridge National Laboratory,
Tennessee",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "June",
}
@Article{Geman:1980:LTN,
author = "Stuart Geman",
title = "A Limit Theorem for the Norm of Random Matrices",
journal = j-ANN-PROBAB,
volume = "8",
number = "2",
pages = "252--261",
month = apr,
year = "1980",
CODEN = "APBYAE",
ISSN = "0091-1798 (print), 2168-894X (electronic)",
ISSN-L = "0091-1798",
bibdate = "Sun Apr 20 10:44:17 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/annprobab1980.bib",
URL = "http://projecteuclid.org/euclid.aop/1176994775",
acknowledgement = ack-nhfb,
fjournal = "Annals of Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aop",
}
@Article{Geman:1986:SRL,
author = "Stuart Geman",
title = "The Spectral Radius of Large Random Matrices",
journal = j-ANN-PROBAB,
volume = "14",
number = "4",
pages = "1318--1328",
month = oct,
year = "1986",
CODEN = "APBYAE",
ISSN = "0091-1798 (print), 2168-894X (electronic)",
ISSN-L = "0091-1798",
bibdate = "Sun Apr 20 10:44:17 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/annprobab1980.bib",
URL = "http://projecteuclid.org/euclid.aop/1176992372",
acknowledgement = ack-nhfb,
fjournal = "Annals of Probability",
journal-URL = "http://projecteuclid.org/all/euclid.aop",
}
@Article{Gentleman:1969:EAG,
author = "W. M. Gentleman",
title = "An Error Analysis of {Goertzel's (Watt's)} Method for
Computing {Fourier} Coefficients",
journal = j-COMP-J,
volume = "12",
pages = "160--165",
year = "1969",
CODEN = "CMPJA6",
ISSN = "0010-4620 (print), 1460-2067 (electronic)",
ISSN-L = "0010-4620",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "The Computer Journal",
journal-URL = "http://comjnl.oxfordjournals.org/",
}
@Article{Gentleman:1973:LSC,
author = "W. Morven Gentleman",
title = "Least Squares Computations by {Givens} Transformations
Without Square Roots",
journal = j-JIMA,
volume = "12",
pages = "329--336",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gentleman:1974:RPQ,
author = "W. Morven Gentleman",
title = "Regression Problems and the {QR} Decomposition",
journal = j-IMA-BULL,
volume = "10",
number = "5/6",
pages = "195--197",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
mynote = "May/June. Special issue: computational problems i
statistics",
}
@Article{Gentleman:1975:EAD,
author = "W. Morven Gentleman",
title = "Error Analysis of {$QR$} Decompositions by {Givens}
Transformations",
journal = j-LAA,
volume = "10",
pages = "189--197",
year = "1975",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gentleman:1978:SCR,
author = "W. M. Gentleman",
title = "Some complexity results for matrix computations on
parallel processors",
journal = j-ACM,
volume = "25",
pages = "112--115",
year = "1978",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gentleman:1974:MAR,
author = "W. Morven Gentleman and Scott B. Marovich",
title = "More on Algorithms that Reveal Properties of Floating
Point Arithmetic Units",
journal = j-CACM,
volume = "17",
number = "5",
pages = "276--277",
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InProceedings{Gentleman:1966:FFT,
author = "W. M. Gentleman and G. Sande",
booktitle = "Fall Joint Computer Conference",
title = "Fast {Fourier} Transforms---For Fun and Profit",
volume = "29",
publisher = pub-SPARTAN,
address = pub-SPARTAN:adr,
pages = "563--578",
year = "1966",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "AFIPS Conference Proceedings",
}
@Article{George:1972:BES,
author = "A. George",
title = "On block elimination for sparse linear systems",
journal = j-SINUM,
volume = "11",
pages = "585--603",
year = "1972",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Sparsity issues dominate. Little on block triang. LU.
Not copied.",
}
@Article{George:1986:PCF,
author = "Alan George and Michael T. Heath and Joseph Liu",
title = "Parallel {Cholesky} Factorization on a Shared-Memory
Multiprocessor",
journal = j-LAA,
volume = "77",
pages = "165--187",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{George:1981:CSL,
author = "Alan George and Joseph W-H Liu",
title = "Computer Solution of Large Sparse Positive Definite
Systems",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xii + 324",
year = "1981",
ISBN = "0-13-165274-5",
ISBN-13 = "978-0-13-165274-3",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{George:1978:ARR,
author = "James E. George",
title = "Algorithms to Reveal the Representation of Characters,
Integers, and Floating-Point Numbers",
journal = j-TOMS,
volume = "1",
number = "3",
pages = "210--216",
year = "1978",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Geurts:1982:CTC,
author = "A. J. Geurts",
title = "A Contribution to the Theory of Condition",
journal = j-NUM-MATH,
volume = "39",
pages = "85--96",
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ghavimi:1995:BES,
author = "Ali R. Ghavimi and Alan J. Laub",
title = "Backward Error, Sensitivity, and Refinement of
Computed Solutions of Algebraic {Riccati} Equations",
journal = j-NUM-LINEAR-ALGEBRA-WITH-APPL,
volume = "2",
number = "1",
pages = "29--49",
year = "1995",
bibdate = "Mon Mar 6 11:38:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ghavimi:1995:RBD,
author = "Ali R. Ghavimi and Alan J. Laub",
title = "Residual Bounds for Discrete-Time {Lyapunov}
Equations",
journal = j-IEEE-TRANS-AUTO-CONTROL,
volume = "40",
number = "7",
pages = "1244--1249",
year = "1995",
bibdate = "Fri Sep 15 14:48:27 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ghavimi:1995:CAN,
author = "Ali R. Ghavimi and Alan J. Laub",
title = "Computation of Approximate Null Vectors of {Sylvester}
and {Lyapunov} Operators",
journal = j-IEEE-AC,
volume = "40",
number = "2",
pages = "387--391",
year = "1995",
bibdate = "Thu May 18 16:24:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gibbs:1974:TP,
author = "N. E. Gibbs and W. G. {Poole, Jr.}",
title = "Tridiagonalization by permutations",
journal = j-CACM,
volume = "17",
pages = "20--24",
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Communications of the ACM",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Gilbert:1992:SMM,
author = "J. R. Gilbert and C. B. Moler and R. S. Schreiber",
title = "Sparse Matrices in {MATLAB}: {Design} and
Implementation",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "333--356",
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Longer version: Technical Report CSL-91-4, Xerox Palo
Alto Research Center, Palo Alto, June 1991",
}
@Article{Gill:1974:RDN,
author = "P. E. Gill",
title = "Recent Developments in Numerically Stable Methods for
Linear Programming",
journal = j-IMA-BULL,
volume = "10",
pages = "180--186",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "IMA Bulletin",
mynote = "May/June Special issue: computational problems and
statistics",
}
@Article{Gill:1973:NSF,
author = "P. E. Gill and W. Murray",
title = "A Numerically Stable Form of the Simplex Algorithm",
journal = j-LAA,
volume = "7",
pages = "99--138",
year = "1973",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Proceedings{Gill:1974:NMC,
editor = "P. E. Gill and W. Murray",
title = "Numerical Methods for Constrained Optimization",
publisher = pub-AP,
address = pub-AP:adr,
pages = "????",
year = "1974",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gill:1974:NTM,
author = "Philip E. Gill and Walter Murray",
title = "Newton-type Methods for Unconstrained and Linearly
Constrained Optimization",
journal = j-MATH-PROG,
volume = "7",
pages = "311--350",
year = "1974",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibdate = "Mon Dec 18 11:48:51 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Gill:1992:PIS,
author = "Philip E. Gill and Walter Murray and Dulce B.
Poncele{\'o}n and Michael A. Saunders",
title = "Preconditioners For Indefinite Systems Arising in
Optimization",
journal = j-SIMAX,
volume = "13",
number = "1",
pages = "292--311",
year = "1992",
bibdate = "Fri Feb 3 11:00:13 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gill:1985:PRB,
author = "P. E. Gill and W. Murray and M. A. Saunders and G. W.
Stewart and M. H. Wright",
title = "Properties of a Representation of a Basis for the Null
Space",
journal = j-MATH-PROG,
volume = "33",
pages = "172--186",
year = "1985",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Gill:1986:PNB,
author = "P. E. Gill and W. Murray and M. A. Saunders and J. A.
Tomlin and M. H. Wright",
title = "On projected {Newton} barrier methods for linear
programming and an equivalence to {Karmarkar}'s
projective method",
journal = j-MATH-PROG,
volume = "36",
pages = "183--209",
year = "1986",
CODEN = "MHPGA4",
ISSN = "0025-5610",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Mathematical Programming",
journal-URL = "http://link.springer.com/journal/10107",
}
@Article{Gill:1984:SMM,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "Sparse Matrix Methods in Optimization",
journal = j-SISSC,
volume = "5",
number = "3",
pages = "562--589",
year = "1984",
bibdate = "Wed Jan 25 09:49:14 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gill:1987:MFG,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H.
Wright",
title = "Maintaining ${LU}$ factors of a general sparse
matrix",
journal = j-LAA,
volume = "88/89",
pages = "239--270",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gill:1988:RDC,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "Recent Developments in Constrained Optimzation",
journal = j-JCAM,
volume = "22",
pages = "257--270",
year = "1988",
bibdate = "Wed Jan 25 09:49:39 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gill:1981:PO,
author = "Philip E. Gill and Walter Murray and Margaret H.
Wright",
title = "Practical Optimization",
publisher = pub-AP,
address = pub-AP:adr-L,
pages = "xvi + 401",
year = "1981",
ISBN = "0-12-283952-8",
ISBN-13 = "978-0-12-283952-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gill:1991:NLA,
author = "Philip E. Gill and Walter Murray and Margaret H.
Wright",
title = "Numerical Linear Algebra and Optimization",
volume = "1",
publisher = pub-AW,
address = pub-AW:adr,
pages = "xvii + 426",
year = "1991",
ISBN = "0-201-12649-4",
ISBN-13 = "978-0-201-12649-5",
bibdate = "Thu Mar 2 12:58:30 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Gill:1986:UGL,
author = "P. E. Gill and S. J. Hammarling and W. Murray and M.
A. Saunders and M. H. Wright",
title = "User's guide for {LSSOL} (Version 1.0): {A Fortran}
package for constrained linear least-squares and convex
quadratic programming",
institution = "Technical Report SOL 86-1, Department of Operations
Research, Stanford University",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Jan",
}
@TechReport{Gill:1988:IPM,
author = "P. E. Gill and W. Murray and M. A. Saunders",
title = "Interior-point methods for linear programming: {A}
challenge to the simplex method",
institution = "Technical Report SOL 88-14, Department of Operations
Research, Stanford University",
address = "????",
pages = "????",
year = "1988",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "July",
}
@TechReport{Gill:1986:UGN,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "User's Guide for {NPSOL} (Version 4.0): {A Fortran}
Package for Nonlinear Programming",
type = "Technical Report",
number = "SOL 86-2",
institution = inst-OR-U-STANFORD,
address = inst-U-STANFORD:adr,
pages = "53",
month = jan,
year = "1986",
bibdate = "Fri Apr 7 11:33:35 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Replaces SOL 84-7",
}
@TechReport{Gill:1986:NNA,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H.
Wright",
title = "A note on nonlinear approaches to linear programming",
institution = "Technical Report SOL 86-7, Department of Operations
Research, Stanford University",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "April",
}
@InProceedings{Gill:1986:CNA,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H.
Wright",
title = "Considerations of numerical analysis in a sequential
quadratic programming method",
crossref = "Hennart:1986:NAM",
pages = "46--62",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@TechReport{Gill:1987:CNP,
author = "P. E. Gill and W. Murray and M. A. Saunders and M. H.
Wright",
title = "Constrained nonlinear programming",
institution = "Technical Report SOL 87-13, Department of Operations
Research, Stanford University",
address = "????",
pages = "????",
year = "1987",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Dec, for Handbook on Optimization, ed. M. Todd",
}
@InProceedings{Gill:1990:SCM,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
editor = "M. G. Cox and S. J. Hammarling",
booktitle = "Reliable Numerical Computation",
title = "A {Schur}-Complement Method for Sparse Quadratic
Programming",
publisher = pub-OXFORD,
pages = "113--138",
year = "1990",
bibdate = "Thu Feb 9 10:25:00 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mycrossref = "Cox:1990:RNC",
}
@Article{Gill:1991:ICM,
author = "Philip E. Gill and Walter Murray and Michael A.
Saunders and Margaret H. Wright",
title = "Inertia-Controlling Methods for General Quadratic
Programming",
journal = j-SIREV,
volume = "33",
number = "1",
pages = "1--36",
year = "1991",
bibdate = "Thu Feb 9 09:51:52 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gill:1996:SCF,
author = "Philip E. Gill and Michael A. Saunders and Joseph R.
Shinnerl",
title = "On the Stability of {Cholesky} Factorization for
Symmetric Quasi-Definite Systems",
journal = j-SIMAX,
volume = "17",
pages = "??--??",
year = "1996",
bibdate = "Sun Mar 19 15:31:55 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "To appear",
}
@InCollection{Gillespie:1991:NVT,
author = "T. A. Gillespie",
editor = "John H. Ewing and F. W. Gehring",
booktitle = "{Paul Halmos}: {Celebrating} 50 Years of Mathematics",
title = "Noncommutative Variations on Theorems of {Marcel
Riesz} and Others",
publisher = pub-SPRINGER,
address = pub-SPRINGER:adr-B,
pages = "221--236",
year = "1991",
bibdate = "Sat Apr 8 11:12:08 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@PhdThesis{Gilvary:1986:EEM,
author = "B. Gilvary",
title = "Element by Element Methods for Heat Conduction
Problems",
type = "Ph.D. Thesis",
school = "University of Manchester, England",
address = "????",
pages = "????",
year = "1986",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Oct",
}
@TechReport{Givens:1954:NCC,
author = "Wallace J. Givens",
title = "Numerical Computation of the Characteristic Values of
a Real Symmetric Matrix",
number = "ORNL-1574",
institution = inst-ORNL,
address = inst-ORNL:adr,
pages = "107",
year = "1954",
bibdate = "Thu Sep 14 12:53:09 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Givens:1958:CPU,
author = "Wallace Givens",
title = "Computation of Plane Unitary Rotations Transforming a
General Matrix to Triangular Form",
journal = j-J-SOC-IND-MATH,
volume = "6",
number = "1",
pages = "26--50",
year = "1958",
bibdate = "Sun Nov 6 14:38:39 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Proceedings{Gladwell:1982:POD,
editor = "I. Gladwell",
title = "Proceedings of a one-day colloquium on numerical
linear algebra and its applications",
publisher = "University of Manchester",
address = "Manchester, England",
pages = "????",
month = jul,
year = "1982",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Numerical Analysis Report No. 78",
}
@Article{Gladwell:1988:LSE,
author = "I. Gladwell and L. F. Shampine and R. W. Brankin",
title = "Locating Special Events when Solving {ODEs}",
journal = j-APPL-MATH-LETT,
volume = "1",
pages = "153--156",
year = "1988",
CODEN = "AMLEEL",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
ISSN-L = "0893-9659",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Applied Mathematics Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/08939659",
mynote = "NA Rep Dec 87",
}
@Article{Glanz:1995:MLF,
author = "James Glanz",
title = "Mathematical Logic Flushes Out the Bugs in Chip
Designs",
journal = j-SCIENCE,
volume = "267",
pages = "332--333",
year = "1995",
CODEN = "SCIEAS",
ISSN = "0036-8075 (print), 1095-9203 (electronic)",
ISSN-L = "0036-8075",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "20 " # jan,
bibdate = "Sun Mar 19 15:24:52 GMT 1995",
fjournal = "Science",
journal-URL = "http://www.sciencemag.org/archive/",
}
@Book{Glassey:1993:NCU,
author = "Robert Glassey",
title = "Numerical Computation Using {C}",
publisher = pub-AP,
address = pub-AP:adr,
pages = "vii + 283",
year = "1993",
ISBN = "0-12-286155-8",
ISBN-13 = "978-0-12-286155-0",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gluchowska:1990:SLL,
author = "J. Gluchowska and A. Smoktunowicz",
title = "Solving the Linear Least Squares Problem with Very
High Relative Accuracy",
journal = j-COMPUTING,
volume = "45",
pages = "345--354",
year = "1990",
CODEN = "COSPDM",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Computing: Archiv f{\"u}r informatik und numerik",
journal-URL = "http://link.springer.com/journal/607",
}
@Article{Glunt:1993:MCD,
author = "W. Glunt and T. L. Hayden and M. Raydan",
title = "Molecular conformations from distance matrices",
journal = j-J-COMPUT-CHEM,
volume = "14",
number = "1",
pages = "114--120",
month = jan,
year = "1993",
CODEN = "JCCHDD",
DOI = "https://doi.org/10.1002/jcc.540140115",
ISSN = "0192-8651 (print), 1096-987X (electronic)",
ISSN-L = "0192-8651",
bibdate = "Thu Nov 29 14:54:20 MST 2012",
bibsource = "http://www.interscience.wiley.com/jpages/0192-8651;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputchem1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Chemistry",
journal-URL = "http://www.interscience.wiley.com/jpages/0192-8651",
onlinedate = "7 Sep 2004",
}
@TechReport{Godunov:1990:SPM,
author = "S. K. Godunov and O. P. Kirilyuk and V. I. Kostin",
title = "Spectral Portraits of Matrices",
type = "Preprint",
number = "3",
institution = "Inst. of Math.",
address = "Sib. Branch of USSR Acad. Sci.",
pages = "????",
year = "1990",
bibdate = "Wed Oct 4 09:28:07 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "In Russian. Cited in \cite{Trefethen:19xx:SPB}",
}
@Book{Godunov:1993:GAN,
author = "S. K. Godunov and A. G. Antonov and O. P. Kiriljuk and
V. I. Kostin",
title = "Guaranteed Accuracy in Numerical Linear Algebra",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "535",
year = "1993",
ISBN = "0-7923-2352-1",
ISBN-13 = "978-0-7923-2352-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Not seen. List price \pounds 157.50 acc. to H&H!",
}
@Article{Goedecker:1994:RAF,
author = "S. Goedecker",
title = "Remark on Algorithms to Find Roots of Polynomials",
journal = j-SISC,
volume = "15",
number = "5",
pages = "1059--1063",
year = "1994",
bibdate = "Tue Sep 27 22:36:45 GMT 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Book{Gohberg:1974:CEP,
author = "I. C. Gohberg and I. A. Fel{\'d}man",
title = "Convolution Equations and Projection Methods for Their
Solution",
volume = "41",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "????",
year = "1974",
ISBN = "0-8218-1591-1",
ISBN-13 = "978-0-8218-1591-5",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Translations of Mathematical Monographs",
mynote = "At Snowbird (June 1994) Gohberg told me this contains
Newton polar iteration. Couldn't find it, though p. 85
has scalar iteration $x(k+1) = (x(k)-1/x(k))/2$.",
}
@Unpublished{Gohberg:1994:GEP,
author = "I. Gohberg and T. Kailath and V. Olshevsky",
title = "Gaussian Elimination with Partial Pivoting for
Structured Matrices",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Gohberg:1989:EAC,
author = "I. Gohberg and I. Koltracht",
title = "Error analysis for {Cauchy} and {Vandermonde}
matrices",
institution = "Manuscript",
address = "????",
pages = "????",
year = "1989",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "I edited \& rejected for SIMAX. Earlier paper in Proc
MNTS 1989.",
}
@InProceedings{Gohberg:1990:SPS,
author = "I. Gohberg and I. Koltracht",
editor = "M. A. Kaashoek and J. H. van Schuppen and A. C. M.
Ran",
booktitle = "Signal Processing, Scattering and Operator Theory, and
Numerical Methods. Proceedings of the International
Symposium MTNS-89, Volume III",
title = "On the Inversion of {Cauchy} Matrices",
publisher = pub-BH,
address = pub-BH:adr,
pages = "381--392",
year = "1990",
bibdate = "Tue Dec 12 14:58:14 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Unpublished{Gohberg:1990:EAT,
author = "I. Gohberg and I. Koltracht",
title = "Error Analysis for Triangular Factorization of
{Cauchy} and {Vandermonde} matrices",
address = "????",
pages = "????",
year = "1990",
bibdate = "Wed Mar 8 08:24:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Manuscript",
}
@TechReport{Gohberg:1992:SCN,
author = "I. Gohberg and I. Koltracht",
title = "Structured Condition Numbers for Linear Matrix
Structures",
type = "IMA Preprint Series",
number = "\# 1030",
institution = inst-IMA,
address = inst-IMA:adr,
pages = "????",
month = sep,
year = "1992",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gohberg:1993:MCS,
author = "I. Gohberg and I. Koltracht",
title = "Mixed, Componentwise, and Structured Condition
Numbers",
journal = j-SIMAX,
volume = "14",
number = "3",
pages = "688--704",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gohberg:1993:CNF,
author = "I. Gohberg and I. Koltracht",
title = "Condition Numbers for Functions of Matrices",
journal = j-APP-NUM-MATH,
volume = "12",
pages = "107--117",
year = "1993",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Gohberg:1994:FIC,
author = "I. Gohberg and V. Olshevsky",
title = "Fast Inversion of {Chebyshev--Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "67",
number = "1",
pages = "71--92",
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Goldberg:1991:WEC,
author = "David Goldberg",
title = "What Every Computer Scientist Should Know About
Floating-Point Arithmetic",
journal = j-COMP-SURV,
volume = "23",
number = "1",
pages = "5--48",
year = "1991",
CODEN = "CMSVAN",
ISSN = "0360-0300 (print), 1557-7341 (electronic)",
ISSN-L = "0360-0300",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
fjournal = "ACM Computing Surveys",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J204",
mynote = "IEEE arithmetic",
}
@Article{Goldberg:1967:BED,
author = "I. Bennett Goldberg",
title = "$ 27 $ Bits Are Not Enough For $8$-Digit Accuracy",
journal = j-CACM,
volume = "10",
number = "2",
pages = "105--106",
month = feb,
year = "1967",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363067.363112",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:11 MST 2005",
bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
abstract = "From the inequality $ 10^8 < 2^{27} $, we are likely
to conclude that we can represent 8-digit decimal
floating-point numbers accurately by 27-bit [binary]
floating-point numbers. However, we need 28 significant
bits to represent some 8-digit numbers accurately. In
general, we can show that if $ 10^p < 2^{q - 1} $, then
$q$ significant bits are always enough for $p$-digit
decimal accuracy. Finally, we can define a compact
27-bit floating-point representation that will give 28
significant bits, for numbers of practical
importance.",
acknowledgement = ack-nj # " and " # ack-mfc # " and " # ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "decimal floating-point arithmetic",
received = "August 1966 (revised October 1966)",
}
@Book{Goldberg:1991:MTA,
author = "Jack L. Goldberg",
title = "Matrix Theory With Applications",
publisher = pub-MH,
address = pub-MH:adr,
pages = "????",
year = "1991",
ISBN = "0-07-557200-1",
ISBN-13 = "978-0-07-557200-8",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
mynote = "Matlab exercises seem tacked on. Very first example is
magic square, with Durer's Melencolia I picture
shown.",
}
@Article{Goldberg:1983:MNM,
author = "Moshe Goldberg and E. G. Straus",
title = "Multiplicativity of {$l_p$} Norms for Matrices",
journal = j-LAA,
volume = "52/53",
pages = "351--360",
year = "1983",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Goldstein:1991:LAQ,
author = "Jerome A. Goldstein and Mel Levy",
title = "Linear Algebra and Quantum Chemistry",
journal = j-AMM,
volume = "98",
number = "8",
pages = "710--718",
year = "1991",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Goldstine:1959:PDN,
author = "H. H. Goldstine and L. P. Horwitz",
title = "A Procedure for the Diagonalization of Normal
Matrices",
journal = j-ACM,
volume = "6",
pages = "176--195",
year = "1959",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Goldstine:1951:NIM,
author = "Herman H. Goldstine and John von Neumann",
title = "Numerical Inverting of Matrices of High Order {II}",
journal = j-PROC-AMS,
volume = "2",
pages = "188--202",
year = "1951",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
note = "Reprinted in \cite[pp.~558--572]{Taub:1963:JNC}",
}
@Book{Goldstine:1977:HNA,
author = "Herman H. Goldstine",
title = "A History of Numerical Analysis From the 16th Through
the 19th Century",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xiv + 348",
year = "1977",
ISBN = "0-387-90277-5",
ISBN-13 = "978-0-387-90277-7",
bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Article{Ch:1985:DBN,
author = "E. Goles Ch",
title = "Dynamical Behaviour of Neural Networks",
journal = j-SIAD,
volume = "6",
number = "4",
pages = "749--754",
year = "1985",
bibsource = "
