@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
"\ifx \undefined \cdprime \def \cdprime {$''$} \fi" #
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"\ifx \undefined \mathcal \def \mathcal #1{{\cal #1}}\fi" #
"\ifx \undefined \mathit \def \mathit #1{\hbox{\it #1\/}} \fi" #
"\ifx \undefined \mathrm \def \mathrm #1{{\rm #1}}\fi"
}
@String{inst-BERKELEY-CS = "Department of Computer Science, University
of California"}
@String{inst-BERKELEY-CS:adr = "Berkeley, CA, USA"}
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Analysis, Wavelets, Numerical Algorithms,
and Applications"}
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informationsbehandling)"}
@String{j-BIT-NUM-MATH = "BIT Numerical Mathematics"}
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S{\'e}ances de l'Acad{\'e}mie des Sciences.
S{\'e}ries A et B"}
@String{j-CACM = "Communications of the ACM"}
@String{j-CALCOLO = "Calcolo: a quarterly on numerical analysis
and theory of computation"}
@String{j-COMMENT-MATH-HELV = "Commentarii Mathematici Helvetici (Zurich)"}
@String{j-COMP-PHYS-COMM = "Computer Physics Communications"}
@String{j-COMPOS-MATH = "Compositio Mathematica"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with
Applications"}
@String{j-COMPUTING = "Computing: Archiv f{\"u}r Informatik und
Numerik"}
@String{j-CONST-APPROX = "Constructive Approximation"}
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@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis"}
@String{j-ELEM-MATH = "{Elemente der Mathematik}"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-CELL-BIOL = "Journal of Cell Biology"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
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@String{j-J-INEQUAL-APPL = "Journal of Inequalities and Applications"}
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@String{j-J-RES-NATL-BUR-STAND-1934 = "Journal of Research of the National
Bureau of Standards (1934)"}
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@String{j-MATH-TABLES-OTHER-AIDS-COMPUT = "Mathematical Tables and Other Aids
to Computation"}
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@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-SIAM-J-MATH-ANA = "SIAM Journal on Mathematical Analysis"}
@String{j-SIAM-J-NUMER-ANAL = "SIAM Journal on Numerical Analysis"}
@String{j-SIAM-J-SCI-STAT-COMP = "SIAM Journal on Scientific and Statistical
Computing"}
@String{j-SIAM-NEWS = "SIAM News"}
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@String{j-SOC-STUD-SCI = "Social Studies of Science"}
@String{j-TOMS = "ACM Transactions on Mathematical Software"}
@String{j-Z-ANGE-MATH-PHYS = "{Zeitschrift f{\"u}r Angewandte Mathematik
und Physik = Journal of Applied Mathematics
and Physics}"}
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-BIRKHAUSER = "Birkh{\"a}user"}
@String{pub-BIRKHAUSER:adr = "Cambridge, MA, USA; Berlin, Germany; Basel,
Switzerland"}
@String{pub-BIRKHAUSER-BOSTON = "Birkh{\"a}user Boston Inc."}
@String{pub-BIRKHAUSER-BOSTON:adr = "Cambridge, MA, USA"}
@String{pub-MACMILLAN = "MacMillan Publishing Company"}
@String{pub-MACMILLAN:adr = "New York, NY, USA and London, UK"}
@String{pub-MATH-ASSOC-AMER = "Mathematical Association of America"}
@String{pub-MATH-ASSOC-AMER:adr = "Washington, DC, USA"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Oxford, UK"}
@String{pub-SIAM = "Society for Industrial and Applied
Mathematics"}
@String{pub-SIAM:adr = "Philadelphia, PA, USA"}
@String{pub-SV = "Spring{\-}er-Ver{\-}lag"}
@String{pub-SV:adr = "Berlin, Germany~/ Heidelberg,
Germany~/ London, UK~/ etc."}
@String{pub-WORLD-SCI = "World Scientific Publishing
Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr = "P. O. Box 128, Farrer Road,
Singapore 9128"}
@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 07:49:45 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib",
acknowledgement = ack-nhfb,
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/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@PhdThesis{Gautschi:1953:AGI,
author = "Walter Gautschi",
title = "{Analyse graphischer Integrationsmethoden}. ({German})
[{Analysis} of graphical integration methods]",
type = "{Dr. phil.}",
school = "Universit{\"a}t Basel",
address = "Basel, Switched",
year = "1953",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
advisor = "Alexander Ostrowski and Andreas Speiser",
language = "German",
}
@Article{Gautschi:1953:FGI,
author = "Walter Gautschi",
title = "{Fehlerabsch{\"a}tzungen f{\"u}r die graphischen
Integrationsverfahren von Grammel und Meissner-Ludwig}.
({German}) [{Error} estimates for the graphical
integration procedures of {Grammel} and
{Meissner-Ludwig}]",
journal = "{Verhandlungen der Naturforschenden Gesellschaft in
Basel}",
volume = "64",
pages = "401--435",
year = "1953",
MRclass = "65.0X",
MRnumber = "0060902",
MRreviewer = "H. B{\"u}ckner",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
ajournal = "Verh. Naturf. Ges. Basel",
ajournal-2 = "Verh. Naturforsch. Ges. Basel",
language = "German",
}
@Article{Gautschi:1954:KLS,
author = "Walter Gautschi",
title = "{{\"U}ber eine Klasse von linearen Systemen mit
konstanten Koeffizienten}. ({German}) [{On} a class of
linear systems with constant coefficients]",
journal = j-COMMENT-MATH-HELV,
volume = "28",
pages = "186--196",
year = "1954",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF02566930",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "36.0X",
MRnumber = "64938",
MRreviewer = "C. R. De Prima",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
}
@Article{Gautschi:1954:ZUZ,
author = "Walter Gautschi",
title = "{{\"U}ber die zeichnerischen Ungenauigkeiten und die
zweckm{\"a}ssige Bemessung der Schrittl{\"a}nge beim
graphischen Integrationsverfahren von Meissner-Ludwig}.
({German}) [{On} the graphical inaccuracies and the
appropriate dimensioning of the step length in the
graphical integration method by {Meissner-Ludwig}]",
journal = "{Verhandlungen der Naturforschenden Gesellschaft in
Basel}",
volume = "65",
pages = "49--66",
year = "1954",
CODEN = "VNGBAH",
ISSN = "0077-6122",
ISSN-L = "0077-6122",
MRclass = "65.0X",
MRnumber = "0068323",
MRreviewer = "F. J. Murray",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
ajournal = "Verh. Naturf. Ges. Basel",
ajournal-2 = "Verh. Naturforsch. Ges. Basel",
language = "German",
}
@Article{Gautschi:1955:FRK,
author = "Walter Gautschi",
title = "{{\"U}ber den Fehler des Runge--Kutta-Verfahrens
f{\"u}r die numerische Integration gew{\"o}hnlicher
Differentialgleichungen $n$-ter Ordnung}. ({German})
[{On} the error of the {Runge--Kutta} method for the
numerical integration of ordinary differential
equations of $n$-th order]",
journal = j-Z-ANGE-MATH-PHYS,
volume = "6",
pages = "456--461",
year = "1955",
CODEN = "ZAMPDB",
DOI = "https://doi.org/10.1007/BF01600531",
ISSN = "0044-2275 (print), 1420-9039 (electronic)",
ISSN-L = "0044-2275",
MRclass = "65.0X",
MRnumber = "77236",
MRreviewer = "E. Isaacson",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
ZAMP. Journal of Applied Mathematics and Physics.
Journal de Math{\'e}matiques et de Physique
Appliqu{\'e}es",
journal-URL = "http://link.springer.com/journal/33",
language = "German",
}
@Article{Gautschi:1956:BNB,
author = "Walter Gautschi",
title = "{Bemerkung zu einer notwendigen Bedingung von Picone
in der Variationsrechnung}. ({German}) [{Remark} on a
necessary condition of {Picone} in the variation
calculation]",
journal = j-COMMENT-MATH-HELV,
volume = "31",
pages = "1--4",
year = "1956",
CODEN = "COMHAX",
DOI = "https://doi.org/10.1007/BF02564351",
ISSN = "0010-2571 (print), 1420-8946 (electronic)",
ISSN-L = "0010-2571",
MRclass = "49.0X",
MRnumber = "82043",
MRreviewer = "L. M. Graves",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Commentarii Mathematici Helvetici",
journal-URL = "https://link.springer.com/journal/14",
language = "German",
}
@Article{Gautschi:1956:EAI,
author = "Walter Gautschi",
title = "Una estensione agli integrali doppi di una condizione
di {Picone}, necessaria per un estremo. ({Italian})
[{An} extension to double integrals of a condition of
{Picone}, necessary for one extreme]",
journal = "Atti della Accademia Nazionale dei Lincei. Rendiconti.
Classe di Scienze Fisiche, Matematiche e Naturali.
Serie VIII",
volume = "20",
pages = "283--289",
year = "1956",
CODEN = "????",
ISSN = "0392-7881",
ISSN-L = "0392-7881",
MRclass = "49.0X",
MRnumber = "82044",
MRreviewer = "L. M. Graves",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
ajournal = "Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat.
(8)",
fjournal = "Atti della Accademia Nazionale dei Lincei. Rendiconti.
Classe di Scienze Fisiche, Matematiche e Naturali.
Serie VIII",
language = "Italian",
}
@Article{Gautschi:1959:EIL,
author = "W. Gautschi",
title = "Exponential integral $ \int_1^\infty e^{-x t} t^{-n}
\, d t $ for large values of $n$",
journal = j-J-RES-NATL-BUR-STAND-1934,
volume = "62",
number = "3",
pages = "123--125",
month = mar,
year = "1959",
DOI = "https://doi.org/10.6028/jres.062.022",
ISSN = "0091-0635",
bibdate = "Sat Feb 18 14:39:27 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Research of the National Bureau of
Standards (1934)",
journal-URL = "https://www.nist.gov/nist-research-library/journal-research-nist/past-papers",
}
@Article{Gautschi:1959:NBL,
author = "Walter Gautschi",
title = "Note on Bivariate Linear Interpolation for Analytic
Functions",
journal = j-MATH-TABLES-OTHER-AIDS-COMPUT,
volume = "13",
number = "66",
pages = "91--96",
month = apr,
year = "1959",
CODEN = "MTTCAS",
ISSN = "0891-6837 (print), 2326-4853 (electronic)",
ISSN-L = "0891-6837",
MRclass = "65.00",
MRnumber = "105786",
MRreviewer = "John Todd",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematical Tables and Other Aids to Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1959:SEI,
author = "Walter Gautschi",
title = "Some elementary inequalities relating to the gamma and
incomplete gamma function",
journal = j-J-MATH-PHYS,
volume = "38",
pages = "77--81",
year = "1959/60",
CODEN = "JMAPAQ",
DOI = "https://doi.org/10.1002/sapm195938177",
ISSN = "0097-1421",
ISSN-L = "0022-2488",
MRclass = "33.00",
MRnumber = "103289",
MRreviewer = "H. O. Pollak",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Mathematics and Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Gautschi:1961:NIO,
author = "Walter Gautschi",
title = "Numerical integration of ordinary differential
equations based on trigonometric polynomials",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "381--397",
month = dec,
year = "1961",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386037",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.61",
MRnumber = "138200",
MRreviewer = "R. W. Hamming",
bibdate = "Tue Dec 21 16:41:06 MST 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=3&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=3&issue=1&spage=381",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1961:RCC,
author = "Walter Gautschi",
title = "Recursive Computation of Certain Integrals",
journal = j-J-ACM,
volume = "8",
number = "1",
pages = "21--40",
month = jan,
year = "1961",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/321052.321054",
ISSN = "0004-5411 (print), 1557-735x (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.00",
MRnumber = "119392",
MRreviewer = "F. J. Corbato",
bibdate = "Tue Nov 08 23:16:00 1994",
bibsource = "http://portal.acm.org/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jacm.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Gautschi:1961:RCR,
author = "Walter Gautschi",
title = "Recursive Computation of the Repeated Integrals of the
Error Function",
journal = j-MATH-COMPUT,
volume = "15",
number = "75",
pages = "227--232",
month = jul,
year = "1961",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2002897",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "136074",
MRreviewer = "J. C. P. Miller",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InCollection{Antosiewicz:1962:NMO,
author = "Henry A. Antosiewicz and Walter Gautschi",
booktitle = "Survey of numerical analysis",
title = "Numerical methods in ordinary differential equations",
publisher = "McGraw-Hill, New York",
pages = "314--346",
year = "1962",
MRclass = "65.60",
MRnumber = "0136075",
MRreviewer = "T. E. Hull",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1962:DFS,
author = "Walter Gautschi",
title = "Diffusion Functions for Small Argument",
journal = j-SIAM-REVIEW,
volume = "4",
number = "3",
pages = "227--229",
month = "????",
year = "1962",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1004060",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.20",
MRnumber = "144445",
MRreviewer = "W. Sangren",
bibdate = "Thu Mar 27 09:04:54 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/4/3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review. A Publication of the Society for
Industrial and Applied Mathematics",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "July 1962",
}
@InProceedings{Gautschi:1962:ILS,
author = "Walter Gautschi",
booktitle = "Proceedings of the International Conference on
Information Processing",
title = "Instability of Linear Second-Order Difference
Equations [abstract only]",
publisher = "????",
address = "????",
pages = "207--207",
year = "1962",
bibdate = "Fri Aug 21 11:06:52 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@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",
DOI = "https://doi.org/10.1007/BF01386302",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "15.15",
MRnumber = "139627",
MRreviewer = "W. W. Hooker",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
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",
DOI = "https://doi.org/10.1007/BF01385906",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.35",
MRnumber = "164437",
MRreviewer = "W. W. Hooker",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Gautschi:1963:RCS,
author = "Walter Gautschi",
editor = "????",
booktitle = "{The University of Michigan Engineering Summer
Conferences, Numerical Analysis, Summer 1963}",
title = "Recursive computation of special functions",
publisher = "????",
address = "????",
pages = "??--??",
year = "1963",
bibdate = "Fri Aug 21 11:08:35 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1964:AAB,
author = "W. Gautschi",
title = "{ACM Algorithm 236}: {Bessel} Functions of the First
Kind [{S17}]",
journal = j-CACM,
volume = "7",
number = "8",
pages = "479--480",
month = aug,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/355586.355587",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:55 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See remark \cite{Skovgaard:1975:RBF}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$J_n(x)$; Bessel functions of the first kind; special
functions",
}
@Article{Gautschi:1964:AAI,
author = "W. Gautschi",
title = "{ACM Algorithm 222}: Incomplete Beta Function Ratios",
journal = j-CACM,
volume = "7",
number = "3",
pages = "143--144",
month = mar,
year = "1964",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:32:19 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See remark \cite{Kolm:1971:MAL,Ellis:1974:RAHb}.",
acknowledgement = ack-nhfb,
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Gautschi:1964:AGF,
author = "Walter Gautschi",
title = "{Algorithm 221}: {Gamma} functions",
journal = j-CACM,
volume = "7",
number = "3",
pages = "143--143",
month = mar,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363958.363967",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:52 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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",
keywords = "$\Gamma(x)$; special functions",
}
@Article{Gautschi:1964:AIB,
author = "Walter Gautschi",
title = "{Algorithm 222}: {Incomplete} beta functions ratios",
journal = j-CACM,
volume = "7",
number = "3",
pages = "143--143",
month = mar,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363958.363968",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:52 MST 2005",
bibsource = "http://portal.acm.org/;
http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
note = "See remark \cite{Kolm:1971:MAL,Ellis:1974:RAHb}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "beta functions; special functions",
}
@Article{Gautschi:1964:CAI,
author = "Walter Gautschi",
title = "Certification of {Algorithm 222}: {Incomplete} beta
function ratios",
journal = j-CACM,
volume = "7",
number = "4",
pages = "244--244",
month = apr,
year = "1964",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/364005.364073",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:53 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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",
keywords = "beta functions; special functions",
}
@InCollection{Gautschi:1964:EFF,
author = "Walter Gautschi",
title = "Error Function and {Fresnel} Integrals",
crossref = "Abramowitz:1964:HMF",
pages = "295--330",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@InCollection{Gautschi:1964:EIR,
author = "Walter Gautschi and William F. Cahill",
title = "Exponential Integral and Related Functions",
crossref = "Abramowitz:1964:HMF",
pages = "227--252",
year = "1964",
bibdate = "Sat Oct 30 19:37:56 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
}
@Article{Gautschi:1965:ALF,
author = "W. Gautschi",
title = "{Algorithm 259}: {Legendre} Functions for Arguments
Larger than One [{S16}]",
journal = j-CACM,
volume = "8",
number = "8",
pages = "488--492",
month = aug,
year = "1965",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/365474.355591",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:01 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See also \cite{Jansen:1977:RLF}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "Legendre functions; special functions",
xxtitle = "{ACM Algorithm 259}: {Legendre} Functions for
Arguments Larger than One",
}
@Article{Gautschi:1965:CAS,
author = "Walter Gautschi",
title = "Certification of {Algorithm 236} [{S17}]: {Bessel}
functions of the first kind",
journal = j-CACM,
volume = "8",
number = "2",
pages = "105--106",
month = feb,
year = "1965",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363744.363769",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:19:58 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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",
keywords = "$J_n(x)$; Bessel functions of the first kind; special
functions",
}
@Article{Gautschi:1966:AD,
author = "Walter Gautschi",
title = "{Algorithm 282}: {Derivatives} of $ e^x / x $, $ \cos
(x) / x $, and $ \sin (x) / x $",
journal = j-CACM,
volume = "9",
number = "4",
pages = "272--272",
month = apr,
year = "1966",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/365278.365519",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:05 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
note = "See remark \cite{Gautschi:1970:RAD}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$\cos(x)/x$; $\sin(x)/x$; $e^x/x$; elementary
functions",
}
@Article{Gautschi:1966:ARC,
author = "Walter Gautschi",
title = "{Algorithm 292}: {Regular} {Coulomb} Wave Functions",
journal = j-CACM,
volume = "9",
number = "11",
pages = "793--795",
month = nov,
year = "1966",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/365876.365884",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:10 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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",
keywords = "Coulomb wave functions; special functions",
}
@Article{Gautschi:1966:CSD,
author = "Walter Gautschi",
title = "Computation of Successive Derivatives of $ f(z) / z
$",
journal = j-MATH-COMPUT,
volume = "20",
number = "94",
pages = "209--214",
month = apr,
year = "1966",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1967:CAT,
author = "Walter Gautschi",
title = "Computational Aspects of Three-Term Recurrence
Relations",
journal = j-SIAM-REVIEW,
volume = "9",
number = "1",
pages = "24--82",
month = jan,
year = "1967",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1009002",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
MRclass = "65.70",
MRnumber = "213062",
MRreviewer = "E. Frank",
bibdate = "Thu Mar 27 09:05:42 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/9/1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "http://link.aip.org/link/?SIR/9/24/1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
keywords = "Bessel functions; continued fractions; Coulomb wave
functions; Fourier coefficients; incomplete beta
functions; incomplete gamma functions; Legendre
functions; Sturm--Liouville boundary value problems;
three-term recurrence relations",
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.",
onlinedate = "January 1967",
remark = "This paper is frequently cited in later work on
continued fractions, three-term recurrence relations,
and special functions.",
}
@Article{Gautschi:1967:NQP,
author = "Walter Gautschi",
title = "Numerical Quadrature in the Presence of a
Singularity",
journal = j-SIAM-J-NUMER-ANAL,
volume = "4",
number = "3",
pages = "357--362",
month = sep,
year = "1967",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0704031",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.55",
MRnumber = "218014",
MRreviewer = "R. E. Barnhill",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Gautschi:1968:AAG,
author = "Walter Gautschi",
title = "{Algorithm 331}: {Gaussian} Quadrature Formulas
[{D1}]",
journal = j-CACM,
volume = "11",
number = "6",
pages = "432--436",
month = jun,
year = "1968",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363347.363392",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:20 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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{Gautschi:1968:CGC,
author = "Walter Gautschi",
title = "Construction of {Gauss--Christoffel} Quadrature
Formulas",
journal = j-MATH-COMPUT,
volume = "22",
number = "102",
pages = "251--270",
month = apr,
year = "1968",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004654",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.55",
MRnumber = "228171",
MRreviewer = "R. E. Barnhill",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1969:AAC,
author = "W. Gautschi",
title = "{ACM Algorithm 363}: Complex Error Function",
journal = j-CACM,
volume = "12",
number = "11",
pages = "635",
month = nov,
year = "1969",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Thu Sep 08 09:33:14 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See certification \cite{Kolbig:1972:CAC}.",
acknowledgement = ack-nhfb,
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
}
@Article{Gautschi:1969:ACE,
author = "Walter Gautschi",
title = "{Algorithm 363}: {Complex} Error Function [{S15}]",
journal = j-CACM,
volume = "12",
number = "11",
pages = "635--635",
month = nov,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/363269.363618",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:28 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
note = "See certification \cite{Kolbig:1972:CAC}.",
acknowledgement = ack-nhfb,
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$\erf(z)$; special functions",
}
@Article{Gautschi:1969:AMS,
author = "Walter Gautschi",
title = "An application of minimal solutions of three-term
recurrences to {Coulomb} wave functions",
journal = j-AEQUATIONES-MATHEMATICAE,
volume = "2",
pages = "171--176",
year = "1969",
CODEN = "AEMABN",
DOI = "https://doi.org/10.1007/BF01817701",
ISSN = "0001-9054 (print), 1420-8903 (electronic)",
ISSN-L = "0001-9054",
MRclass = "65.61",
MRnumber = "246512",
MRreviewer = "D. C. Gilles",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Aequationes Mathematicae",
journal-URL = "http://link.springer.com/journal/10",
}
@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-COMPUT,
volume = "23",
number = "105",
pages = "109--118",
month = jan,
year = "1969",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005059",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.25",
MRnumber = "239729",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1969:RAS,
author = "Walter Gautschi",
title = "Remark on {Algorithm 292} [{S22}]: {Regular} {Coulomb}
wave functions",
journal = j-CACM,
volume = "12",
number = "5",
pages = "280--280",
month = may,
year = "1969",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/362946.362990",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Fri Nov 25 18:20:26 MST 2005",
bibsource = "http://www.acm.org/pubs/contents/journals/cacm/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.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",
keywords = "Coulomb wave functions; special functions",
}
@Unpublished{Kahan:196x:ACM,
author = "W. M. Kahan",
title = "Note on bounds for generating {Bessel} functions by
recurrence",
institution = inst-BERKELEY-CS,
address = inst-BERKELEY-CS:adr,
year = "196x",
bibdate = "Wed Apr 30 11:14:58 2008",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/k/kahan-william-m.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
acknowledgement = ack-nhfb,
remark = "Cited in reference 28 of Walter Gautschi, {\em
Computational Aspects of Three-Term Recurrence
Relations}, SIAM Review {\bf 9}(1) 24--82 January
(1967), and reference 7 of F. W. J. Olver and D. J.
Sookne, {\em Note on Backward Recurrence Algorithms},
Mathematics of Computation, {\bf 26}(120) 941--947,
October 1972. Web searches do not find mention of this
before 1967, so the date, and contents, remain
uncertain.",
}
@Article{G:1970:BRR,
author = "W. G.",
title = "Book Review: {R. Sauer, I. Szabo, T. P. Angelitch, G.
Aumann, F. L. Bauer, R. Bulirsch, H. P. Kunzi, H.
Rutishauser, K. Samelson, R. Sauer, and J. Stoer,
\booktitle{Mathematische Hilfsmittel des Ingenieurs.
III}, Springer-Verlag, Berlin, 1969, xviv + 534 pp., 24
cm. Price \$24.50}",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "475--475",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004494",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Sun Aug 23 12:18:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
URL = "https://www.jstor.org/stable/2004494",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
subject-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
March 2015); Heinz Rutishauser (30 January 1918--10 November
1970)",
}
@Article{Gautschi:1970:CGQ,
author = "Walter Gautschi",
title = "On the Construction of {Gaussian} Quadrature Rules
from Modified Moments",
journal = j-MATH-COMPUT,
volume = "24",
number = "110",
pages = "245--260",
month = apr,
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004475",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.55",
MRnumber = "285117",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1970:ECC,
author = "Walter Gautschi",
title = "Efficient Computation of the Complex Error Function",
journal = j-SIAM-J-NUMER-ANAL,
volume = "7",
number = "1",
pages = "187--198",
month = mar,
year = "1970",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0707012",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D20",
MRnumber = "293813",
MRreviewer = "P. Barrucand",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
note = "See erratum \cite{Weideman:1995:ECE}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Gautschi:1970:RAD,
author = "Walter Gautschi and Bruce J. Klein",
title = "Remark on {Algorithm 282, Derivatives of $ e^x / x $,
$ \cos (x) / x $, and $ \sin (x) / x $}",
journal = j-CACM,
volume = "13",
number = "1",
pages = "53--54",
month = jan,
year = "1970",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/361953.361988",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Sat Oct 30 07:27:17 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
note = "See \cite{Gautschi:1966:AD}.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
remark = "Fullerton: Corrections are given for several Algol
procedures.",
}
@Article{Gautschi:1970:RCC,
author = "Walter Gautschi and Bruce J. Klein",
title = "Recursive computation of certain derivatives --- a
study of error propagation",
journal = j-CACM,
volume = "13",
number = "1",
pages = "7--9",
month = jan,
year = "1970",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/361953.361959",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
MRclass = "65Q05",
MRnumber = "46 1115",
MRreviewer = "D. F. Mayers",
bibdate = "Tue Mar 25 13:26:09 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
abstract = "A brief study is made of the propagation of errors in
linear first-order difference equations. The recursive
computation of successive derivatives of $ (e^x) / x $
and $ (\cos x) / x $ is considered as an
illustration.",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C4110 (Error analysis in numerical methods)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "difference equations; error analysis; error
propagation; recursive computation; successive
derivatives",
remark = "Fullerton: Recursive calculation of derivatives of $
e^x / x $ and $ \cos (x) / x $ is considered.",
}
@Article{Gautschi:1970:TGQ,
author = "Walter Gautschi",
title = "Tables of {Gaussian} quadrature rules for the
calculation of {Fourier} coefficients",
journal = j-MATH-COMPUT,
volume = "24",
number = "110, loose microfiche suppl",
pages = "A--D",
year = "1970",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2004475",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.55",
MRnumber = "285118",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1971:AFP,
author = "Walter Gautschi",
title = "Attenuation factors in practical {Fourier} analysis",
journal = j-NUM-MATH,
volume = "18",
pages = "373--400",
year = "1971/72",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01406676",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65T05",
MRnumber = "305641",
MRreviewer = "Jack Bryant",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Kolm:1971:MAL,
author = "{\AA}. Kolm and T. Dahlstrand",
title = "Remark on ``{Algorithm 333: Minit Algorithm For Linear
Programming ([H])}''",
journal = j-CACM,
volume = "14",
number = "1",
pages = "50--50",
year = "1971",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:55:39 MST 2001",
bibsource = "ftp://ftp.math.utah.edu/pub/tex/bib/cacm1960.bib;
ftp://ftp.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://dblp.uni-trier.de/db/journals/cacm/cacm14.html#KolmD71;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
note = "See \cite{Gautschi:1964:AAI}.",
acknowledgement = ack-nhfb,
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "KolmD71",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/KolmD71",
}
@Article{Gautschi:1972:AFP,
author = "Walter Gautschi",
title = "Attenuation factors in practical {Fourier} analysis",
journal = j-NUM-MATH,
volume = "18",
number = "5",
pages = "373--400",
month = oct,
year = "1972",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "2 pi periodic function; attenuation factors; Fourier
analysis; function approximation; interpolation;
linearity; piecewise polynomial; time honoured
procedure; translation invariance; trapezoidal rule
approximation",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1972:COP,
author = "Walter Gautschi",
title = "The Condition of Orthogonal Polynomials",
journal = j-MATH-COMPUT,
volume = "26",
number = "120",
pages = "923--924",
month = oct,
year = "1972",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005876",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33A65",
MRnumber = "313558",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290K (Nonlinear and functional equations); C4150
(Nonlinear and functional equations)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "condition number; coordinate map; orthogonal
polynomials; polynomials",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1972:NRR,
author = "W. Gautschi",
title = "{Zur Numerik rekurrenter Relationen}. ({German})
[{Numerical} aspects of recurrence relations]",
journal = j-COMPUTING,
volume = "9",
number = "2",
pages = "107--126",
month = jun,
year = "1972",
CODEN = "CMPTA2",
DOI = "https://doi.org/10.1007/BF02236961",
ISSN = "0010-485X (print), 1436-5057 (electronic)",
ISSN-L = "0010-485X",
MRclass = "65G05",
MRnumber = "312714",
MRreviewer = "Y. L. Luke",
bibdate = "Tue Jan 2 17:40:51 MST 2001",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/computing.bib;
INSPEC Axiom database (1968--date)",
acknowledgement = ack-ec # " and " # ack-nhfb,
affiliation = "Purdue Univ. Lafayette, IN, USA",
annote = "Mit 3 Abbildungen ({German}) [With 3 figures].",
classification = "B0290Z; C4190",
description = "numerical analysis",
fjournal = "Computing. Archiv f{\"u}r Elektronisches Rechnen.
Archives for Electronic Computing",
journal-URL = "http://link.springer.com/journal/607",
keywords = "counteracting instability; numerical stability;
recurrence relations; severe numerical instability",
language = "German",
}
@Article{Kolbig:1972:CAC,
author = "K. S. K{\"o}lbig",
title = "Certification of ``{Algorithm 363}: {Complex} error
function''",
journal = j-CACM,
volume = "15",
number = "6",
pages = "465--466",
month = jun,
year = "1972",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:55:38 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm15.html#Kolbig72;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1960.bib",
note = "See \cite{Gautschi:1969:ACE}.",
acknowledgement = ack-nhfb,
classcodes = "C4120 (Functional analysis); C7310 (Mathematics
computing)",
corpsource = "CERN, Geneva, Switzerland",
fjournal = "Communications of the ACM",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "$\erf(z)$; complex error function; function
evaluation; special functions; subroutines; Voigt
function",
oldlabel = "Kolbig72",
treatment = "T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Kolbig72",
}
@Article{Gautschi:1973:AAE,
author = "Walter Gautschi",
title = "{ACM Algorithm 471}: Exponential Integrals [{S13}]",
journal = j-CACM,
volume = "16",
number = "12",
pages = "761--763",
month = dec,
year = "1973",
CODEN = "CACMA2",
DOI = "https://doi.org/10.1145/362552.362557",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:43:23 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm16.html#Gautschi73;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation);
C7310 (Mathematics computing)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
keywords = "ALGOL; computation; continued fractions; exponential
integrals; integration; recurrence relations;
recursive; subroutine; subroutines",
oldlabel = "Gautschi73",
treatment = "A Application; T Theoretical or Mathematical",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gautschi73",
}
@Article{Gautschi:1973:CAE,
author = "Walter Gautschi",
title = "On the condition of algebraic equations",
journal = j-NUM-MATH,
volume = "21",
number = "5",
pages = "405--424",
month = oct,
year = "1973",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01436491",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65H05",
MRnumber = "339478",
MRreviewer = "A. S. Householder",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "algebraic equations; condition; linear algebra;
polynomial; polynomials; roots; sensitivity",
treatment = "T Theoretical or Mathematical",
}
@Book{Gautschi:1973:NAR,
author = "Walter Gautschi",
title = "Numerical aspects of recurrence relations",
publisher = "Aerospace Research Laboratories, Air Force Systems
Command, United States Air Force, Wright-Patterson Air
Force Base, Ohio",
pages = "v + 38",
year = "1973",
MRclass = "65G05",
MRnumber = "0312715",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
note = "Translated by the author, with the publisher's
permission, from Computing (Arch. Elektron. Rechnen)
{{\bf{9}}} (1972), 107--126, ARL 73-0005",
acknowledgement = ack-nhfb,
}
@Article{Ellis:1974:RAHb,
author = "T. M. R. Ellis",
title = "Remark on ``{Algorithm 420}: Hidden-Line Plotting
Program''",
journal = j-CACM,
volume = "17",
number = "12",
pages = "706--??",
year = "1974",
CODEN = "CACMA2",
ISSN = "0001-0782 (print), 1557-7317 (electronic)",
ISSN-L = "0001-0782",
bibdate = "Mon Jan 22 06:37:51 MST 2001",
bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm17.html#Ellis74a;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib",
acknowledgement = ack-nhfb,
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79",
oldlabel = "Ellis74a",
XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Ellis74a",
xxnote = "See remarks
\cite{Williamson:1972:AAH,Macleod:1973:RAH,Williamson:1973:RAH,Ellis:1974:RAHa,Gaither:1974:RAH,Gautschi:1964:AAI}.",
}
@Article{Gautschi:1974:CTQ,
author = "Walter Gautschi and Hiroki Yanagiwara",
title = "On {Chebyshev}-Type Quadratures",
journal = j-MATH-COMPUT,
volume = "28",
number = "125",
pages = "125--134",
month = jan,
year = "1974",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005819",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30",
MRnumber = "331731",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
B0290M (Numerical integration and differentiation);
C4130 (Interpolation and function approximation); C4160
(Numerical integration and differentiation)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebraic equations; Chebyshev approximation;
Chebyshev type quadratures; integration; multiple node;
n point Chebyshev quadrature formulas; single",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1974:HMI,
author = "Walter Gautschi",
title = "A Harmonic Mean Inequality for the Gamma Function",
journal = j-SIAM-J-MATH-ANA,
volume = "5",
number = "2",
pages = "278--281",
month = apr,
year = "1974",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0505030",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A15",
MRnumber = "350077",
MRreviewer = "S. Saran",
bibdate = "Sun Nov 28 19:27:42 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/5/2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Gautschi:1974:SMV,
author = "Walter Gautschi",
title = "Some Mean Value Inequalities for the Gamma Function",
journal = j-SIAM-J-MATH-ANA,
volume = "5",
number = "2",
pages = "282--292",
month = apr,
year = "1974",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0505031",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A15",
MRnumber = "350078",
MRreviewer = "S. Saran",
bibdate = "Sun Nov 28 19:27:42 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/5/2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Anderson:1975:OWC,
author = "L. A. Anderson and W. Gautschi",
title = "Optimal weighted {Chebyshev}-type quadrature
formulas",
journal = j-CALCOLO,
volume = "12",
number = "3",
pages = "211--248",
year = "1975",
CODEN = "CALOBK",
DOI = "https://doi.org/10.1007/BF02576818",
ISSN = "0008-0624 (print), 1126-5434 (electronic)",
ISSN-L = "0008-0624",
MRclass = "65D30",
MRnumber = "423764",
MRreviewer = "Sven-\AA ke Gustafson",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory
of Computation",
journal-URL = "http://link.springer.com/journal/10092",
}
@InProceedings{Gautschi:1975:CMS,
author = "Walter Gautschi",
booktitle = "Theory and application of special functions ({Proc}.
{Advanced} {Sem}., {Math}. {Res}. {Center}, {Univ}.
{Wisconsin}, {Madison}, {Wis}., 1975)",
title = "Computational Methods in Special Functions --- a
Survey",
crossref = "Askey:1975:TAS",
pages = "1--98. Math. Res. Center, Univ. Wisconsin Publ., No.
35",
year = "1975",
MRclass = "65D15",
MRnumber = "0391476",
MRreviewer = "H. E. Fettis",
bibdate = "Sat Oct 30 07:42:41 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
remark = "Fullerton: Extensive list of references.",
}
@Article{Gautschi:1975:NCT,
author = "Walter Gautschi",
title = "Nonexistence of {Chebyshev}-Type Quadratures on
Infinite Intervals",
journal = j-MATH-COMPUT,
volume = "29",
number = "129",
pages = "93--99",
month = jan,
year = "1975",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2005465",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30",
MRnumber = "368392",
MRreviewer = "Henning Esser",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0220 (Mathematical analysis); B0290F (Interpolation
and function approximation); C1120 (Mathematical
analysis); C4130 (Interpolation and function
approximation)",
corpsource = "Purdue Univ., Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebraic; Chebyshev approximation; Chebyshev type
quadratures; degree of accuracy; infinite; integration;
intervals; number theory; polynomials; quadrature
rules; weight function",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1975:NEI,
author = "Walter Gautschi",
title = "Norm Estimates for Inverses of {Vandermonde}
Matrices",
journal = j-NUM-MATH,
volume = "23",
number = "4",
pages = "337--347",
month = aug,
year = "1975",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01438260",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F35",
MRnumber = "378382",
MRreviewer = "Alan L. Andrew",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Purdue Univ., La Fayette, IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "asymptotic estimates; inverses; matrix algebra; norm
estimates; scaling; Vandermonde matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1975:OCV,
author = "Walter Gautschi",
title = "Optimally Conditioned {Vandermonde} Matrices",
journal = j-NUM-MATH,
volume = "24",
number = "1",
pages = "1--12",
month = feb,
year = "1975",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01437212",
ISSN = "0029-599x (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F35",
MRnumber = "426401",
MRreviewer = "L. Fox",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290H (Linear
algebra); C1180 (Optimisation techniques); C4140
(Linear algebra)",
corpsource = "Purdue Univ., W. Lafayette, IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "condition number; matrix algebra; minimisation;
minimize; nonlinear constraints; nonlinear minimax
problem; nonlinear programming; optimally conditioned
Vandermonde matrices; symmetric point configurations",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1975:SDG,
author = "Walter Gautschi",
title = "Stime dell'errore globale nei metodi ``one-step'' per
equazioni differenziali ordinarie. ({Italian})
[{Estimates} of the global error in ``one-step''
methods for ordinary differential equations]",
journal = "Rendiconti di Matematica. Serie VII. Universit{\`a}
degli Studi di Roma. Istituto Matematica Guido
Castelnuovo. Istituto di Matematica Applicata. Istituto
Nazionale di Alta Matematica",
volume = "8",
number = "2",
pages = "601--617",
year = "1975",
ISSN = "0034-4427",
MRclass = "65L05",
MRnumber = "383751",
MRreviewer = "H. C. Kranzer",
bibdate = "Thu Jan 09 14:46:25 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
note = "Collection of articles dedicated to Mauro Picone, II",
acknowledgement = ack-nhfb,
ajournal = "Rend. Mat. (6)",
fjournal = "Rendiconti di Matematica. Serie VI.",
language = "Italian",
}
@Article{Skovgaard:1975:RBF,
author = "Ove Skovgaard",
title = "Remark on ``{Algorithm 236: Bessel Functions of the
First Kind [S17]}''",
journal = j-TOMS,
volume = "1",
number = "3",
pages = "282--284",
month = sep,
year = "1975",
CODEN = "ACMSCU",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Feb 06 05:26:43 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cacm1970.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
note = "See \cite{Gautschi:1964:AAB}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Gautschi:1976:ACQ,
author = "Walter Gautschi",
title = "Advances in {Chebyshev} quadrature",
journal = j-LECT-NOTES-MATH,
volume = "506",
pages = "100--121",
year = "1976",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0080118",
ISBN = "3-540-07610-7 (print), 3-540-38129-5 (e-book)",
ISBN-13 = "978-3-540-07610-0 (print), 978-3-540-38129-7
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "65D30",
MRnumber = "0468117 (57 \#7956)",
MRreviewer = "M. M. Chawla",
bibdate = "Fri May 9 19:07:56 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1975.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0080118/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0080109",
book-URL = "http://www.springerlink.com/content/978-3-540-38129-7",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Gautschi:1977:ACC,
author = "Walter Gautschi",
title = "Anomalous convergence of a continued fraction for
ratios of {Kummer} functions",
journal = j-MATH-COMPUT,
volume = "31",
number = "140",
pages = "994--999",
month = oct,
year = "1977",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis); C4170 (Differential
equations)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "apparent; Bessel functions; continued fraction;
convergence; differential equations; gamma functions;
Kummer functions; wrong limit",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1977:ARI,
author = "Walter Gautschi",
title = "{Algorithm 521}: Repeated Integrals of the Coerror
Function [{S15}]",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "301--302",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355744.355756",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 23:03:07 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Gautschi:1977:ERI,
author = "Walter Gautschi",
title = "Evaluation of Repeated Integrals of the Coerror
Function",
journal = j-TOMS,
volume = "3",
number = "3",
pages = "240--252",
month = sep,
year = "1977",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355744.355748",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sat Aug 27 22:26:34 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
remark = "Fullerton: An arbitrary-accuracy method for evaluating
$ i^n \erfc (x) $ is given.",
}
@Article{Gautschi:1977:OCQ,
author = "Walter Gautschi and Giovanni Monegato",
title = "On optimal {Chebyshev-type} quadratures",
journal = j-NUM-MATH,
volume = "28",
number = "1",
pages = "59--67",
month = mar,
year = "1977",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Jun 02 08:56:06 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4160 (Numerical integration and differentiation)",
corpsource = "Math. Res. Center, Univ. of Wisconsin-Madison,
Madison, WI, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Chebyshev quadrature; exactness; integration;
minimize; optimal",
treatment = "T Theoretical or Mathematical",
}
@Article{Jansen:1977:RLF,
author = "J. K. M. Jansen",
title = "Remark on ``{Algorithm 259}: {Legendre} Functions for
Arguments Larger than One''",
journal = j-TOMS,
volume = "3",
number = "2",
pages = "204--205",
month = jun,
year = "1977",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355732.356467",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Feb 06 05:28:08 1996",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Gautschi:1965:ALF}.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
xxpages = "204--250",
}
@Article{Gautschi:1978:CMB,
author = "Walter Gautschi and Josef Slavik",
title = "On the computation of modified {Bessel} function
ratios",
journal = j-MATH-COMPUT,
volume = "32",
number = "143",
pages = "865--875",
month = jul,
year = "1978",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
classcodes = "C1120 (Mathematical analysis); C4130 (Interpolation
and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Bessel; Bessel functions; continued fraction;
fraction; function approximation; functions; Gauss'
continued; modified Bessel function ratios; Perron's
continued fraction",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1978:IVC,
author = "Walter Gautschi",
title = "On inverses of {Vandermonde} and confluent
{Vandermonde} matrices. {III}",
journal = j-NUM-MATH,
volume = "29",
number = "4",
pages = "445--450",
month = apr,
year = "1978",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "15A12, 65F35",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Computer Sci., Purdue Univ., Lafayette, IN,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "analytic function theory; inverse confluent
Vandermonde matrices; inverse Vandermonde matrix;
matrix algebra; polynomials",
treatment = "A Application; T Theoretical or Mathematical",
}
@InCollection{Gautschi:1978:QNC,
author = "Walter Gautschi",
booktitle = "Recent advances in numerical analysis ({Proc. Sympos.,
Math. Res. Center, Univ. Wisconsin, Madison, Wis.,
1978})",
title = "Questions of numerical conditions related to
polynomials",
volume = "41",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "45--72",
year = "1978",
MRclass = "65D99",
MRnumber = "519056",
MRreviewer = "Gerhard Merz",
bibdate = "Fri Feb 9 15:26:45 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
series = "Publ. Math. Res. Center Univ. Wisconsin",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1979:AIG,
author = "W. Gautschi",
title = "{Algorithm 542}: Incomplete Gamma Functions [{S14}]",
journal = j-TOMS,
volume = "5",
number = "4",
pages = "482--489",
month = dec,
year = "1979",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355853.355864",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sun Aug 28 00:39:50 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
remark = "Fullerton: FORTRAN routines of adjustable accuracy.",
}
@Article{Gautschi:1979:CPI,
author = "Walter Gautschi",
title = "A Computational Procedure for Incomplete Gamma
Functions",
journal = j-TOMS,
volume = "5",
number = "4",
pages = "466--481",
month = dec,
year = "1979",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/355853.355863",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Sun Aug 28 00:32:50 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Article{Gautschi:1979:CPP,
author = "Walter Gautschi",
title = "The Condition of Polynomials in Power Form",
journal = j-MATH-COMPUT,
volume = "33",
number = "145",
pages = "343--352",
month = jan,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D99 (41A10)",
MRnumber = "80f:65034",
MRreviewer = "C. W. Clenshaw",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., W.Lafayette, IN,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "bounds; condition number; coordinate map; origin;
polynomials; power form; upper",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1979:PPL,
author = "Walter Gautschi",
title = "On the preceding paper {``A Legendre polynomial
integral''} by {James L. Blue}",
journal = j-MATH-COMPUT,
volume = "33",
number = "146",
pages = "742--743",
month = apr,
year = "1979",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D30",
MRnumber = "81b:65021b",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4180 (Integral equations)",
corpsource = "Dept. of Computer Sci., Purdue Univ., W.Lafayette, IN,
USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "integral; integral equations; Legendre polynomials;
polynomials",
treatment = "G General Review; T Theoretical or Mathematical",
}
@InProceedings{Gautschi:1981:CNA,
author = "Walter Gautschi",
title = "{Christoffel} and Numerical Analysis",
crossref = "Butzer:1981:BCI",
pages = "749--749",
year = "1981",
bibdate = "Thu Jan 09 18:12:04 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1981:MST,
author = "Walter Gautschi",
title = "Minimal solutions of three-term recurrence relations
and orthogonal polynomials",
journal = j-MATH-COMPUT,
volume = "36",
number = "154",
pages = "547--554",
month = apr,
year = "1981",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33A65 (65D20 65D30)",
MRnumber = "82m:33006",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "continued fraction algorithm; distribution; expansion
coefficient; Gauss method; Jacobi; mass; moment
problem; moment sequence; numerical methods; orthogonal
polynomials; polynomials; quadrature formulas;
three-term recurrence",
treatment = "A Application; T Theoretical or Mathematical",
}
@InProceedings{Gautschi:1981:RCW,
author = "Walter Gautschi",
title = "Recognition of {Christoffel}'s Work on Quadrature
during and after His Lifetime",
crossref = "Butzer:1981:BCI",
pages = "724--727",
year = "1981",
bibdate = "Thu Jan 09 18:12:04 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@InProceedings{Gautschi:1981:SGC,
author = "Walter Gautschi",
title = "A Survey of {Gauss--Christoffel} Quadrature Formulae",
crossref = "Butzer:1981:BCI",
pages = "72--147",
year = "1981",
bibdate = "Thu Jan 09 18:12:04 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Article{Schneider:1981:HAM,
author = "Hans Schneider and Chandler Davis and Walter Gautschi
and Olga Taussky Todd",
title = "Honoring {Alexander M. Ostrowski}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "38",
number = "??",
pages = "3--3",
month = jun,
year = "1981",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(81)90002-1",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:48:45 MST 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0024379581900021",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Forster:1982:BOT,
author = "Klaus-J{\"u}rgen F{\"o}rster",
title = "{Bemerkungen zur optimalen Tschebyscheff-Typ
Quadratur}. ({German}) [{Remarks} on optimal
{Chebyshev}-type quadratures]",
journal = j-NUM-MATH,
volume = "38",
number = "3",
pages = "421--425",
month = mar,
year = "1982",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "",
MRnumber = "83d:65065",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0260 (Optimisation techniques); B0290F
(Interpolation and function approximation); C1180
(Optimisation techniques); C4130 (Interpolation and
function approximation)",
corpsource = "Tech. Univ. Braunschweig, Braunschweig, West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "algebraic degree; approximation; Chebyshev
approximation; E-optimal formulae; Gautschi;
minimisation; Monegato; optimal Chebyshev-type
quadratures; optimisation; Sard; symmetry",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1982:GOP,
author = "Walter Gautschi",
title = "On Generating Orthogonal Polynomials",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "3",
number = "3",
pages = "289--317",
month = sep,
year = "1982",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0903018",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65D15 (33A65 65D20)",
MRnumber = "84e:65022",
MRreviewer = "H. E. Fettis",
bibdate = "Mon Mar 31 09:59:07 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
keywords = "Chebyshev; Chebyshev approximation; finite-dimensional
maps; numerical stability; orthogonal polynomials;
polynomials; Stieltjes",
onlinedate = "September 1982",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1982:POR,
author = "Walter Gautschi",
title = "Polynomials orthogonal with respect to the reciprocal
gamma function",
journal = j-BIT,
volume = "22",
number = "3",
pages = "387--389",
month = sep,
year = "1982",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934452",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D32 (33A15 65A05 65D25)",
MRnumber = "84h:65024",
bibdate = "Wed Jan 4 18:52:17 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=22&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=22&issue=3&spage=387",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:1983:AMO,
author = "Walter Gautschi",
title = "To {Alexander M. Ostrowski} on his ninetieth
birthday",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "52/53",
number = "??",
pages = "xi--xiv",
year = "1983",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "01A70",
MRnumber = "84k:01055",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Gautschi:1983:CBC,
author = "Walter Gautschi",
title = "On the convergence behavior of continued fractions
with real elements",
journal = j-MATH-COMPUT,
volume = "40",
number = "161",
pages = "337--342",
month = jan,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "40A15 (33A15)",
MRnumber = "84i:40001",
MRreviewer = "Kh. {\u{I}}. Kuchm{\=\i}ns{\'k}a",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1983:CVL,
author = "Walter Gautschi",
title = "The Condition of {Vandermonde}-like Matrices Involving
Orthogonal Polynomials",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "52/53",
number = "??",
pages = "293--300",
year = "1983",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F35 (15A12 65F40)",
MRnumber = "84i:65043",
MRreviewer = "N. N. Abdelmalek",
bibdate = "Thu Jan 23 11:18:08 MST 1997",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/linala1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
keywords = "nla, pert, Vandermonde matrix, orthogonal polynomial,
condition",
}
@Article{Gautschi:1983:EBG,
author = "Walter Gautschi and Richard S. Varga",
title = "Error bounds for {Gaussian} quadrature of analytic
functions",
journal = j-SIAM-J-NUMER-ANAL,
volume = "20",
number = "6",
pages = "1170--1186",
month = dec,
year = "1983",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32",
MRnumber = "85j:65010",
MRreviewer = "I. P. Mysovskikh",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Gautschi:1983:HHC,
author = "Walter Gautschi",
title = "How and how not to check {Gaussian} quadrature
formulae",
journal = j-BIT,
volume = "23",
number = "2",
pages = "209--216",
month = jun,
year = "1983",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF02218441",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30",
MRnumber = "84e:65024",
MRreviewer = "G. A. Evans",
bibdate = "Wed Jan 4 18:52:18 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=23&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=23&issue=2&spage=209",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:1984:DAS,
author = "Walter Gautschi",
title = "Discrete approximations to spherically symmetric
distributions",
journal = j-NUM-MATH,
volume = "44",
number = "1",
pages = "53--60",
month = jun,
year = "1984",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D15",
MRnumber = "85h:65038",
MRreviewer = "Luciano Biasini",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Computer Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximation theory; Bose--Einstein distributions;
Dirac delta functions; discrete approximations;
Fermi--Dirac distributions; Gauss--Christoffel
quadrature; Heaviside step functions; Maxwell
distributions; spherically symmetric distributions",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1984:MYL,
author = "Walter Gautschi and Jet Wimp",
title = "In memoriam: {Yudell L. Luke, June 26, 1918--May 6,
1983}",
journal = j-MATH-COMPUT,
volume = "43",
number = "168",
pages = "349--352",
month = oct,
year = "1984",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "01A70",
MRnumber = "86b:01033",
bibdate = "Sat Jan 11 13:29:06 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@InCollection{Gautschi:1984:QNC,
author = "Walter Gautschi",
title = "Questions of numerical condition related to
polynomials",
crossref = "Golub:1984:SNA",
volume = "24",
pages = "140--177",
year = "1984",
MRclass = "65F35 (65H05)",
MRnumber = "925213",
bibdate = "Fri Feb 9 15:28:14 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1984:SOP,
author = "Walter Gautschi",
title = "On some orthogonal polynomials of interest in
theoretical chemistry",
journal = j-BIT,
volume = "24",
number = "4",
pages = "473--483",
month = dec,
year = "1984",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934906",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D20 (33A65 42C05 80A50)",
MRnumber = "86d:65030",
MRreviewer = "T. S. Chihara",
bibdate = "Wed Jan 4 18:52:18 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=24&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=24&issue=4&spage=473",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:1985:GQI,
author = "Walter Gautschi and Gradimir V. Milovanovi",
title = "{Gaussian} Quadrature Involving {Einstein} and {Fermi}
Functions with an Application to Summation of Series",
journal = j-MATH-COMPUT,
volume = "44",
number = "169",
pages = "177--190",
month = jan,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jun 18 07:22:24 MDT 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2007801",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1985:OPC,
author = "Walter Gautschi",
title = "Orthogonal polynomials --- Constructive theory and
applications",
journal = j-J-COMPUT-APPL-MATH,
volume = "12--13",
number = "??",
pages = "61--76",
month = may,
year = "1985",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:27:12 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704278590007X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:1985:SGQ,
author = "Walter Gautschi and Gradimir V. Milovanovi",
title = "Supplement to {Gaussian} Quadrature Involving
{Einstein} and {Fermi} Functions with an Application to
Summation of Series",
journal = j-MATH-COMPUT,
volume = "44",
number = "169",
pages = "S1--S11",
month = jan,
year = "1985",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jun 18 07:22:24 MDT 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
JSTOR database",
URL = "http://www.jstor.org/stable/2007816",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:1985:SNA,
author = "Walter Gautschi",
title = "Some new applications of orthogonal polynomials",
journal = j-LECT-NOTES-MATH,
volume = "1171",
pages = "63--73",
year = "1985",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0076531",
ISBN = "3-540-16059-0 (print), 3-540-39743-4 (e-book)",
ISBN-13 = "978-3-540-16059-5 (print), 978-3-540-39743-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "33A65 (41A15 65D07)",
MRnumber = "838971 (87h:33014)",
MRreviewer = "S. Conde",
bibdate = "Fri May 9 19:07:47 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0076531/",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/BFb0076527",
book-URL = "http://www.springerlink.com/content/978-3-540-39743-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Calio:1986:CGK,
author = "Franca Cali{\`o} and Walter Gautschi and Elena
Marchetti",
title = "On Computing {Gauss--Kronrod} Quadrature Formulae",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "639--650, S57--S63",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D32",
MRnumber = "88a:65028",
MRreviewer = "G. A. Evans",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4130 (Interpolation and function approximation);
C4160 (Numerical integration and differentiation)",
corpsource = "Dipartimento di Matematica, Politechico Milano,
Italy",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "algebraic singularity; Gauss--Kronrod; integration;
logarithmic singularity; modified moments; Newton
method; nonlinear maps; numerical condition;
polynomial; polynomials; quadrature formulae",
treatment = "T Theoretical or Mathematical",
}
@Article{Calio:1986:SCG,
author = "Franca Calio and Walter Gautschi and Elena Marchetti",
title = "Supplement to On Computing {Gauss--Kronrod} Quadrature
Formulae",
journal = j-MATH-COMPUT,
volume = "47",
number = "176",
pages = "S57--S63",
month = oct,
year = "1986",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Flury:1986:ASO,
author = "Bernhard N. Flury and Walter Gautschi",
title = "An algorithm for simultaneous orthogonal
transformation of several positive definite symmetric
matrices to nearly diagonal form",
journal = j-SIAM-J-SCI-STAT-COMP,
volume = "7",
number = "1",
pages = "169--184",
month = jan,
year = "1986",
CODEN = "SIJCD4",
DOI = "https://doi.org/10.1137/0907013",
ISSN = "0196-5204",
ISSN-L = "0196-5204",
MRclass = "65F30 (62H25)",
MRnumber = "87g:65061",
MRreviewer = "John Todd",
bibdate = "Mon Mar 31 09:59:37 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); B0290F
(Interpolation and function approximation); B0290H
(Linear algebra); C1140Z (Other topics in statistics);
C4130 (Interpolation and function approximation); C4140
(Linear algebra)",
corpsource = "Dept. of Stat., Berne Univ., Switzerland",
fjournal = "SIAM Journal on Scientific and Statistical Computing",
journal-URL = "http://epubs.siam.org/loi/sijcd4",
keywords = "characteristic vectors; common principal components;
iterative algorithm; iterative methods; matrix algebra;
maximum likelihood estimates; nearly diagonal form;
positive definite symmetric matrices; simultaneous
orthogonal transformation; statistical analysis",
onlinedate = "January 1986",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1986:SAS,
author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
title = "Spline approximations to spherically symmetric
distributions",
journal = j-NUM-MATH,
volume = "49",
number = "2/3",
pages = "111--121",
month = mar,
year = "1986",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "",
MRnumber = "87j:41033",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximation theory; moment functional; n-point
Gauss--Christoffel quadrature formula; pointwise
convergence; spherically symmetric distributions;
spline approximations; spline function; splines
(mathematics); statistical mechanics",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1986:SOP,
author = "Walter Gautschi",
title = "On the sensitivity of orthogonal polynomials to
perturbations in the moments",
journal = j-NUM-MATH,
volume = "48",
number = "4",
pages = "369--382",
month = apr,
year = "1986",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "33A65 (65D20)",
MRnumber = "87i:33028",
MRreviewer = "G. Meinardus",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0240Z (Other topics in statistics); B0290F
(Interpolation and function approximation); B0290K
(Nonlinear and functional equations); C1140Z (Other
topics in statistics); C4130 (Interpolation and
function approximation); C4150 (Nonlinear and
functional equations)",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Chebyshev weight distributions; Jacobi weight
distributions; modified moments; nonlinear equations;
nonlinear maps; orthogonal polynomials; perturbation
techniques; perturbations; polynomials; positive weight
distribution; recursion coefficients; sensitivity;
sensitivity analysis; statistics",
treatment = "T Theoretical or Mathematical",
}
@Article{Frontini:1987:MPS,
author = "Marco Frontini and Walter Gautschi and Gradimir V.
Milovanovi{\'c}",
title = "Moment-preserving spline approximation on finite
intervals",
journal = j-NUM-MATH,
volume = "50",
number = "5",
pages = "503--518",
month = mar,
year = "1987",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41A29 (41A15 65D07)",
MRnumber = "88g:41019",
MRreviewer = "Eli Passow",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dipartimento di Matematica, Politecnico di Milano,
Italy",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximation theory; finite intervals; Gauss--Lobatto
rules; Gauss--Radau quadrature rules; moment
functionals; moment preserving spline approximation;
pointwise convergence; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1987:CHT,
author = "Walter Gautschi and Jet Wimp",
title = "Computing the {Hilbert} transform of a {Jacobi} weight
function",
journal = j-BIT,
volume = "27",
number = "2",
pages = "203--215",
month = jun,
year = "1987",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01934185",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65R10 (65D30 65D32)",
MRnumber = "88i:65154",
MRreviewer = "G. F. Miller",
bibdate = "Wed Jan 4 18:52:20 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=27&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=27&issue=2&spage=203",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:1987:CIH,
author = "Walter Gautschi",
title = "A Conjectured Inequality for {Hermite} Interpolation
at the Zeros of {Jacobi} Polynomials",
journal = j-SIAM-REVIEW,
volume = "29",
number = "2",
pages = "297--298",
month = "????",
year = "1987",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1029047",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:54:15 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/29/2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "June 1987",
}
@Article{Gautschi:1987:NES,
author = "Walter Gautschi and M. A. Kova{\v{c}}evi{\'c} and
Gradimir V. Milovanovi{\'c}",
title = "The numerical evaluation of singular integrals with
coth-kernel",
journal = j-BIT,
volume = "27",
number = "3",
pages = "389--402",
month = sep,
year = "1987",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933733",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D30",
MRnumber = "88i:65030",
MRreviewer = "P. Linz",
bibdate = "Wed Jan 4 18:52:20 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=27&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=27&issue=3&spage=389",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:1988:ASG,
author = "Walter Gautschi and Sotirios E. Notaris",
title = "An algebraic study of {Gauss--Kronrod} quadrature
formulae for {Jacobi} weight functions",
journal = j-MATH-COMPUT,
volume = "51",
number = "183",
pages = "231--248",
month = jul,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D32",
MRnumber = "89f:65031",
MRreviewer = "B. Boyanov",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Purdue Univ., West Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Gauss--Kronrod quadrature formulae; Gegenbauer weight
function; integration; interlacing property; Jacobi
weight functions; orthogonal polynomials",
treatment = "T Theoretical or Mathematical; X Experimental",
}
@Article{Gautschi:1988:FGK,
author = "Walter Gautschi and Theodore J. Rivlin",
title = "A Family of {Gauss--Kronrod} Quadrature Formulae",
journal = j-MATH-COMPUT,
volume = "51",
number = "184",
pages = "749--754",
month = oct,
year = "1988",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D32",
MRnumber = "89m:65029",
MRreviewer = "Hans Strauss",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C4160 (Numerical integration and differentiation)",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Gauss nodes; Gauss--Kronrod quadrature formulae;
Gaussian quadrature formula; integration; Kronrod
extension; Kronrod nodes; weights",
treatment = "T Theoretical or Mathematical",
}
@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",
number = "3",
pages = "241--250",
month = mar,
year = "1988",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F35 (15A12)",
MRnumber = "89b:65108",
MRreviewer = "Ludwig Elsner",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "condition number; lower bounds; matrix algebra; node
vector; optimal spectral condition numbers; positive
elements; real elements; Vandermonde matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Anonymous:1989:EGK,
author = "Anonymous",
title = "Erratum: {Gauss--Kronrod quadrature formulae for
weight functions of Bernstein--Szeg{\H{o}} type:
Journal of Computational and Applied Mathematics {\bf
25} (2) (1989) 199--224}",
journal = j-J-COMPUT-APPL-MATH,
volume = "27",
number = "3",
pages = "429--429",
month = nov,
year = "1989",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:43 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
note = "See \cite{Gautschi:1989:GKQ}.",
URL = "http://www.sciencedirect.com/science/article/pii/0377042789900289",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:1989:GKQ,
author = "Walter Gautschi and Sotorios E. Notaris",
title = "{Gauss--Kronrod} quadrature formulae for weight
functions of {Bernstein--Szeg{\H{o}}} type",
journal = j-J-COMPUT-APPL-MATH,
volume = "25",
number = "2",
pages = "199--224",
month = feb,
year = "1989",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:41 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
note = "See erratum \cite{Anonymous:1989:EGK}.",
URL = "http://www.sciencedirect.com/science/article/pii/0377042789900472",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:1989:ZPO,
author = "Walter Gautschi",
title = "On the zeros of polynomials orthogonal on the
semicircle",
journal = j-SIAM-J-MATH-ANA,
volume = "20",
number = "3",
pages = "738--743",
month = may,
year = "1989",
CODEN = "SJMAAH",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "30C15 (30C10 33A65 41A58)",
MRnumber = "90f:30006",
MRreviewer = "M. Lachance",
bibdate = "Sun Nov 28 19:24:48 MST 2010",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/20/3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Cordova:1990:VMC,
author = "Antonio C{\'o}rdova and Walter Gautschi and Stephan
Ruscheweyh",
title = "{Vandermonde} matrices on the circle: spectral
properties and conditioning",
journal = j-NUM-MATH,
volume = "57",
number = "6/7",
pages = "577--591",
month = jul,
year = "1990",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "",
MRnumber = "91i:15008",
MRreviewer = "Ching-Tsuan Pan",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Paper presented at the Conference on Approximation
Theory and Numerical Linear Algebra, 30 March -- 1
April, 1989, Kent, Ohio.",
acknowledgement = ack-nhfb,
classification = "C4140 (Linear algebra)",
corpsource = "Math. Inst., Wurzburg Univ., West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "circle; condition numbers; eigenvectors; matrix
algebra; multiplicities; polynomials; singular values;
theory of polynomials; Van der Corput sequence;
Vandermonde matrices",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1990:NCI,
author = "Walter Gautschi and E. Tychopoulos and R. S. Varga",
title = "A Note on the Contour Integral Representation of the
Remainder Term for a {Gauss--Chebyshev} Quadrature
Rule",
journal = j-SIAM-J-NUMER-ANAL,
volume = "27",
number = "1",
pages = "219--224",
month = feb,
year = "1990",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32",
MRnumber = "91d:65044",
MRreviewer = "G. A. Evans",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Gautschi:1990:RTA,
author = "Walter Gautschi and Shikang Li",
title = "The remainder term for analytic functions of
{Gauss--Radau} and {Gauss--Lobatto} quadrature rules
with multiple end points",
journal = j-J-COMPUT-APPL-MATH,
volume = "33",
number = "3",
pages = "315--329",
day = "31",
month = dec,
year = "1990",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:48 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704270580007X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Book{Rutishauser:1990:LNM,
editor = "Heinz Rutishauser and Martin Gutknecht",
title = "Lectures on numerical mathematics",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "xv + 546",
year = "1990",
DOI = "https://doi.org/10.1007/978-1-4612-3468-5",
ISBN = "0-8176-3491-6",
ISBN-13 = "978-0-8176-3491-9",
LCCN = "QA297 .R8713 1990",
MRclass = "65-01",
MRnumber = "1102678 (92b:65002)",
bibdate = "Tue May 27 08:31:10 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
note = "Edited by Martin Gutknecht with the assistance of
Peter Henrici, Peter L{\"a}uchli and Hans-Rudolf
Schwarz, With a foreword by Gutknecht and a preface by
Henrici, L{\"a}uchli and Schwarz, Translated from the
German and with a preface by Walter Gautschi",
acknowledgement = ack-nhfb,
author-dates = "1918--1970",
remark = "Translation of: Vorlesungen {\"u}ber numerische
Mathematik.",
subject = "Numerical analysis",
}
@Article{Gautschi:1991:CSCa,
author = "Walter Gautschi",
title = "A class of slowly convergent series and their
summation by {Gaussian} quadrature",
journal = j-MATH-COMPUT,
volume = "57",
number = "195",
pages = "309--324",
month = jul,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65D32 (33C45 44A10)",
MRnumber = "91j:65049",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "B0290M (Numerical integration and differentiation);
C4160 (Numerical integration and differentiation)",
corpsource = "Purdue Univ., West Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "(mathematics); convergence of numerical methods;
Einstein weight functions; Fermi; fractional power;
function; Gaussian quadrature; general term;
integration; Laplace transformation; rational; series;
slowly convergent series; summation; weight functions",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1991:CSCb,
author = "Walter Gautschi",
title = "On certain slowly convergent series occurring in plate
contact problems",
journal = j-MATH-COMPUT,
volume = "57",
number = "195",
pages = "325--338",
month = jul,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "40A05 (44A10 73K10 73T05)",
MRnumber = "91j:40002",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
JSTOR database",
acknowledgement = ack-nhfb,
classcodes = "C1130 (Integral transforms); C4100 (Numerical
analysis)",
corpsource = "Purdue Univ., West Lafayette, IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "(mathematics); complex; convergence of numerical
methods; Laplace transforms; plate contact; problems;
series; series summing; slowly convergent series",
treatment = "T Theoretical or Mathematical",
}
@Article{Gautschi:1991:GRG,
author = "Walter Gautschi and Shikang Li",
title = "{Gauss--Radau} and {Gauss--Lobatto} quadratures with
double end points",
journal = j-J-COMPUT-APPL-MATH,
volume = "34",
number = "3",
pages = "343--360",
day = "26",
month = apr,
year = "1991",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:49 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279190094Z",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:1991:QFH,
author = "Walter Gautschi",
title = "Quadrature formulae on half-infinite intervals",
journal = j-BIT,
volume = "31",
number = "3",
pages = "437--446",
month = sep,
year = "1991",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01933261",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "65D32 (41A55)",
MRnumber = "92h:65038",
MRreviewer = "N. S. Kambo",
bibdate = "Wed Jan 4 18:52:22 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=31&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=31&issue=3&spage=437",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
xxpages = "438--446??",
}
@Article{Gautschi:1992:MCE,
author = "Walter Gautschi",
title = "On mean convergence of extended {Lagrange}
interpolation",
journal = j-J-COMPUT-APPL-MATH,
volume = "43",
number = "1--2",
pages = "19--35",
day = "25",
month = nov,
year = "1992",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:55 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279290257X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:1993:CGF,
author = "Walter Gautschi",
title = "On the computation of generalized {Fermi--Dirac} and
{Bose--Einstein} integrals",
journal = j-COMP-PHYS-COMM,
volume = "74",
number = "2",
pages = "233--238",
month = feb,
year = "1993",
CODEN = "CPHCBZ",
DOI = "https://doi.org/10.1016/0010-4655(93)90093-R",
ISSN = "0010-4655 (print), 1879-2944 (electronic)",
ISSN-L = "0010-4655",
bibdate = "Mon Feb 13 21:29:36 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/dirac-p-a-m.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/001046559390093R",
acknowledgement = ack-nhfb,
fjournal = "Computer Physics Communications",
journal-URL = "http://www.sciencedirect.com/science/journal/00104655",
}
@Article{Gautschi:1993:RRO,
author = "Walter Gautschi",
title = "Is the recurrence relation for orthogonal polynomials
always stable?",
journal = j-BIT,
volume = "33",
number = "2",
pages = "277--284",
month = jun,
year = "1993",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/BF01989750",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "39A11 (65D99)",
MRnumber = "96f:39012",
MRreviewer = "B. M. Agrawal",
bibdate = "Wed Jan 4 18:52:23 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=33&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.mai.liu.se/BIT/contents/bit33.html;
http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=33&issue=2&spage=277",
acknowledgement = ack-nhfb,
journal-URL = "http://link.springer.com/journal/10543",
}
@Book{Stoer:1993:INA,
author = "Josef Stoer and Roland Bulirsch",
title = "Introduction to numerical analysis",
volume = "12",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "xiii + 660",
year = "1993",
ISBN = "0-387-97878-X (New York), 3-540-97878-X (Berlin)",
ISBN-13 = "978-0-387-97878-9 (New York), 978-3-540-97878-7
(Berlin)",
LCCN = "QA297 .S8213 1993",
MRclass = "65-01",
MRnumber = "1295246 (95i:65006)",
MRreviewer = "David R. Hill",
bibdate = "Tue May 27 08:33:47 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
note = "Translated from the German by R. Bartels, W. Gautschi
and C. Witzgall",
series = "Texts in Applied Mathematics",
acknowledgement = ack-nhfb,
keywords = "numerical analysis",
subject = "Numerical analysis",
}
@Article{Gautschi:1994:ACP,
author = "Walter Gautschi",
title = "{Algorithm 726}: {ORTHPOL}\emdash a Package of
Routines for Generating Orthogonal Polynomials and
{Gauss}-Type Quadrature Rules",
journal = j-TOMS,
volume = "20",
number = "1",
pages = "21--62",
month = mar,
year = "1994",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/174603.174605",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Mar 09 10:16:24 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See remark \cite{Gautschi:1998:RAO}.",
URL = "http://www.acm.org/pubs/citations/journals/toms/1994-20-1/p21-gautschi/",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@InProceedings{Higham:1994:SCPb,
author = "Nicholas J. Higham",
editor = "Walter Gautschi",
booktitle = "{Mathematics of Computation} 1943--1993: {A} Half
Century of Computational Mathematics",
title = "A Survey of Componentwise Perturbation Theory in
Numerical Linear Algebra",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "49--77",
year = "1994",
bibdate = "Fri Mar 24 08:51:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-njh # "\slash " # ack-nhfb,
}
@InProceedings{Pomerance:1994:NFS,
author = "C. Pomerance",
editor = "W. Gautschi",
booktitle = "Mathematics of Computation 1943--1993: A Half-Century
of Computational Mathematics. Mathematics of
Computation 50th Anniversary Symposium, August 9--13,
1993, Vancouver, British Columbia",
title = "The number field sieve",
volume = "48",
publisher = "American Mathematical Society",
address = "Providence, RI, USA",
pages = "465--480",
year = "1994",
ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
(pt. 2)",
ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
978-0-8218-0354-7 (pt. 2)",
LCCN = "QA1 .A56 v.48 1994",
bibdate = "Fri Nov 20 15:54:39 MST 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/cryptography1990.bib",
series = "Proceedings of symposia in applied mathematics",
acknowledgement = ack-nhfb,
referencedin = "Referenced in \cite[Ref. 12]{Odlyzko:1995:FIF}.",
}
@InProceedings{Rojas:1994:WIC,
author = "Ra{\'u}l Rojas",
editor = "Walter Gautschi",
booktitle = "{Mathematics of Computation} 1943--1993: {A} Half
Century of Computational Mathematics",
title = "Who Invented the Computer? {The} Debate from the
Viewpoint of Computer Architecture",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "361--365",
year = "1994",
bibdate = "Fri Mar 24 08:51:18 GMT 1995",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:1995:COP,
author = "Walter Gautschi and Minda Zhang",
title = "Computing orthogonal polynomials in {Sobolev} spaces",
journal = j-NUM-MATH,
volume = "71",
number = "2",
pages = "159--183",
month = aug,
year = "1995",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D15",
MRnumber = "96g:65017",
MRreviewer = "John B. Kioustelidis",
bibdate = "Thu Jan 23 07:49:52 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/5071002/50710159.htm;
http://science.springer.de/nmee/bibs/5071002/50710159.htm",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:1995:WPR,
author = "Walter Gautschi",
title = "The work of {Philip Rabinowitz} on numerical
integration",
journal = j-NUMER-ALGORITHMS,
volume = "9",
number = "3--4",
pages = "199--222",
month = "????",
year = "1995",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02141588",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65-03 (01A60 01A70 65D30)",
MRnumber = "96e:65002",
bibdate = "Fri Nov 6 18:06:29 MST 1998",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Weideman:1995:ECE,
author = "J. A. C. Weideman",
title = "Erratum: {``Computation of the complex error
function'' [SIAM J. Numer. Anal. {\bf 7} (1970), no. 1,
187--198]}",
journal = j-SIAM-J-NUMER-ANAL,
volume = "32",
number = "1",
pages = "330--331",
month = feb,
year = "1995",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D20 (33B20)",
MRnumber = "95h:65012b",
MRreviewer = "Andrea Laforgia",
bibdate = "Mon Jan 20 15:27:00 MST 1997",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib",
note = "See \cite{Gautschi:1970:ECC}.",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Elliott:1996:BRA,
author = "David Elliott",
title = "Book Reviews: {{\em Approximation and Computation: A
Festschrift in honor of Walter Gautschi}}, edited by
{R. V. M. Zahar}",
journal = j-MATH-COMPUT,
volume = "65",
number = "215",
pages = "??--??",
month = jul,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jul 26 11:50:09 1999",
bibsource = "http://www.ams.org/mcom/1996-65-215;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00705-3&u=/mcom/1996-65-215/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxpages = "1365--1377",
}
@Article{Gautschi:1996:BRP,
author = "Walter Gautschi",
title = "Book Reviews: {{\em Parallel processing for scientific
computing}}, edited by {David H. Bailey}, {Petter E.
Bj{\o}rstad}, {John R. Gilbert}, {Michael V. Mascagni},
{Robert S. Schreiber}, {Horst D. Simon}, {Virginia J.
Torczon} and {Layne T. Watson}",
journal = j-MATH-COMPUT,
volume = "65",
number = "213",
pages = "??--??",
month = jan,
year = "1996",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jul 26 12:07:20 1999",
bibsource = "http://www.ams.org/mcom/1996-65-213;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00666-7&u=/mcom/1996-65-213/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxpages = "429--443",
}
@Article{Gautschi:1996:OPA,
author = "Walter Gautschi",
title = "Orthogonal polynomials: applications and computation",
journal = j-ACTA-NUMERICA,
volume = "5",
pages = "45--119",
year = "1996",
CODEN = "ANUMFU",
DOI = "https://doi.org/10.1017/S0962492900002622",
ISBN = "0-521-57234-7",
ISBN-13 = "978-0-521-57234-7",
ISSN = "0962-4929 (print), 1474-0508 (electronic)",
ISSN-L = "0962-4929",
bibdate = "Sat Sep 24 10:23:35 MDT 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/UIA.bib;
http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
acknowledgement = ack-nhfb,
ajournal = "Acta Numer.",
fjournal = "Acta Numerica",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=ANU",
keywords = "ORT INT",
onlinedate = "07 November 2008",
}
@Article{Gautschi:1996:QCE,
author = "Walter Gautschi and Shikang Li",
title = "On quadrature convergence of extended {Lagrange}
interpolation",
journal = j-MATH-COMPUT,
volume = "65",
number = "215",
pages = "1249--1256",
month = jul,
year = "1996",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-96-00731-4",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "41A05 (65D32)",
MRnumber = "96j:41005",
MRreviewer = "R. Franke",
bibdate = "Fri Jul 16 10:38:35 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-215;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00731-4&u=/mcom/1996-65-215/",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette,
IN, USA",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "Chebyshev approximation; Chebyshev weight; continuous
function; convergence of numerical methods; extended
Lagrange interpolation; functions; interpolation;
necessary and sufficient conditions; orthogonal
polynomial; poles and zeros; polynomials; quadrature
convergence",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gautschi:1996:SPR,
author = "Walter Gautschi and Sotirios E. Notaris",
title = "{Stieltjes} polynomials and related quadrature
formulae for a class of weight functions",
journal = j-MATH-COMPUT,
volume = "65",
number = "215",
pages = "1257--1268",
month = jul,
year = "1996",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/S0025-5718-96-00732-6",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33C45 (41A55 65D32)",
MRnumber = "96k:33015",
MRreviewer = "Gradimir V. Milovanovi{\'c}",
bibdate = "Fri Jul 16 10:38:35 MDT 1999",
bibsource = "http://www.ams.org/mcom/1996-65-215;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00732-6&u=/mcom/1996-65-215/",
acknowledgement = ack-nhfb,
classcodes = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Commun. and Mass Media, Nat. and Capodistrian
Univ. of Athens, Greece",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
keywords = "functions; Gauss--Kronrod quadrature formulae;
interpolation; interpolatory; orthogonal polynomials;
poles and zeros; polynomials; quadrature formulae;
relation; Stieltjes polynomials; three-term recurrence;
weight; zeros",
treatment = "P Practical; T Theoretical or Mathematical",
}
@Article{Gautschi:1997:MQP,
author = "W. Gautschi",
title = "Moments in quadrature problems",
journal = j-COMPUT-MATH-APPL,
volume = "33",
number = "1--2",
pages = "105--118",
month = jan,
year = "1997",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:48:34 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122196002234",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Book{Gautschi:1997:NA,
author = "Walter Gautschi",
title = "Numerical analysis",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "xiv + 506",
year = "1997",
ISBN = "0-8176-3895-4",
ISBN-13 = "978-0-8176-3895-5",
MRclass = "65-01",
MRnumber = "1454125 (98d:65001)",
MRreviewer = "Ian Gladwell",
bibdate = "Tue May 27 07:40:02 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
note = "An introduction",
acknowledgement = ack-nhfb,
}
@Book{Gautschi:1997:NAI,
author = "Walter Gautschi",
title = "Numerical analysis: an introduction",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiii + 506",
year = "1997",
ISBN = "0-8176-3895-4, 3-7643-3895-4 (Basel)",
ISBN-13 = "978-0-8176-3895-5, 978-3-7643-3895-4 (Basel)",
LCCN = "QA297 .G35 1997",
bibdate = "Wed Nov 3 09:30:14 MST 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
acknowledgement = ack-nhfb,
keywords = "numerical analysis",
}
@Article{Gautschi:1997:OCG,
author = "Walter Gautschi and Gradimir V. Milovanovic",
title = "{$S$}-orthogonality and construction of
{Gauss--Tur{\'a}n}-type quadrature formulae",
journal = j-J-COMPUT-APPL-MATH,
volume = "86",
number = "1",
pages = "205--218",
day = "28",
month = nov,
year = "1997",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:36:04 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042797001568",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Lenstra:1997:BRM,
author = "H. W. {Lenstra, Jr.}",
title = "Book Reviews: {{\em Mathematics of Computation
1943-1993: A half-century of computational
mathematics}}, by {Walter Gautschi (Editor)}",
journal = j-MATH-COMPUT,
volume = "66",
number = "219",
pages = "??--??",
month = jul,
year = "1997",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Fri Jul 16 10:38:45 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxpages = "1367--1374",
}
@Article{Gautschi:1998:RAO,
author = "Walter Gautschi",
title = "Remark on {Algorithm 726}: {ORTHPOL} --- a package of
routines for generating orthogonal polynomials and
{Gauss}-type quadrature rules",
journal = j-TOMS,
volume = "24",
number = "3",
pages = "355--355",
month = sep,
year = "1998",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/292395.292467",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Tue Mar 09 10:16:21 1999",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/1998-24/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
note = "See \cite{Gautschi:1994:ACP}.",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1998-24-3/p355-gautschi/",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
keywords = "algorithms",
subject = "{\bf G.1.2} Mathematics of Computing, NUMERICAL
ANALYSIS, Approximation. {\bf G.1.4} Mathematics of
Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
Differentiation. {\bf G.4} Mathematics of Computing,
MATHEMATICAL SOFTWARE.",
}
@Article{Gautschi:1999:AGG,
author = "Walter Gautschi",
title = "{Algorithm 793}: {GQRAT} --- {Gauss} Quadrature for
Rational Functions",
journal = j-TOMS,
volume = "25",
number = "2",
pages = "213--239",
month = jun,
year = "1999",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/317275.317282",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Wed Oct 20 18:21:35 MDT 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "ftp://netlib.bell-labs.com/netlib/toms/793.gz;
http://phase.etl.go.jp/netlib/toms/793;
http://www.acm.org/pubs/citations/journals/toms/1999-25-2/p213-gautschi/;
http://www.hensa.ac.uk/netlib/toms/793.gz;
http://www.netlib.no/netlib/toms/793;
http://www.netlib.org/toms/793",
abstract = "The concern here is with Gauss-type quadrature rules
that are exact for a mixture of polynomials and
rational functions, the latter being selected so as to
simulate poles that may be present in the integrand.
The underlying theory is presented as well as methods
for constructing such rational Gauss formulae. Relevant
computer routines are provided and applied to a number
examples, including Fermi--Dirac and Bose--Einstein
integrals of interest in solid state physics.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
keywords = "construction of quadrature rules; Gaussian quadrature
exact for rational functions; generalized Fermi--Dirac
and Bose Einstein integrals",
subject = "Software --- Programming Languages --- Language
Classifications (D.3.2): FORTRAN 77; Mathematics of
Computing --- Numerical Analysis --- Quadrature and
Numerical Differentiation (G.1.4); General Terms:
Algorithms",
}
@Article{Gautschi:1999:NRC,
author = "Walter Gautschi",
title = "A Note on the Recursive Calculation of Incomplete
Gamma Functions",
journal = j-TOMS,
volume = "25",
number = "1",
pages = "101--107",
month = mar,
year = "1999",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/305658.305717",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
bibdate = "Thu Jul 15 19:01:02 1999",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
URL = "http://www.acm.org:80/pubs/citations/journals/toms/1999-25-1/p101-gautschi/",
abstract = "It is known that the recurrence relation for
incomplete gamma functions $ \Gamma (a + n, x), 0 \le a
< 1 $, $ n = 0, 1, 2 \ldots $, when $x$ is positive, is
unstable---more so the larger $x$. Nevertheless, the
recursion can be used in the range $ 0 \le n \le x$
practically without error growth, and in larger ranges
$ 0 \le n \le N$ with a loss of accuracy that can be
controlled by suitably limiting $N$.",
acknowledgement = ack-nhfb,
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
keywords = "algorithms; reliability",
subject = "{\bf G.1.0} Mathematics of Computing, NUMERICAL
ANALYSIS, General, Stability (and instability). {\bf
G.1.2} Mathematics of Computing, NUMERICAL ANALYSIS,
Approximation.",
}
@Article{Gautschi:1999:OPQ,
author = "Walter Gautschi",
title = "Orthogonal polynomials and quadrature",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "9",
pages = "65--76",
year = "1999",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:29 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.9.1999/pp65-76.dir/pp65-76.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Stetter:1999:BRN,
author = "Hans J. Stetter",
title = "Book Reviews: {{\em Numerical analysis, an
introduction}}, by {Walter Gautschi}",
journal = j-MATH-COMPUT,
volume = "68",
number = "226",
pages = "887--887",
month = apr,
year = "1999",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Mon Jul 26 12:48:16 1999",
bibsource = "http://www.ams.org/mcom/1999-68-226;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-99-01060-1&u=/mcom/1999-68-226/",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxpages = "887--891",
}
@Article{Gander:2000:AQR,
author = "Walter Gander and Walter Gautschi",
title = "Adaptive quadrature --- revisited",
journal = j-BIT-NUM-MATH,
volume = "40",
number = "1",
pages = "84--101",
month = mar,
year = "2000",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1022318402393",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 15:06:03 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=40&issue=1;
http://www.mai.liu.se/BIT/contents/bit40.html;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=40&issue=1&spage=84",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2000:BRC,
author = "Walter Gautschi",
title = "Book review: {{\em Computational Integration}}",
journal = j-MATH-COMPUT,
volume = "69",
number = "231",
pages = "1311--1312",
month = jul,
year = "2000",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Nov 1 11:50:05 MST 2000",
bibsource = "http://www.ams.org/mcom/2000-69-231;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2000.bib",
URL = "http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/bookrev-S0025-5718-00-01249-7.html;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.dvi;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.pdf;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.ps;
http://www.ams.org/mcom/2000-69-231/S0025-5718-00-01249-7/S0025-5718-00-01249-7.tex",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:2000:HOG,
author = "Walter Gautschi",
title = "High-order {Gauss--Lobatto} formulae",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1--4",
pages = "213--222",
month = sep,
year = "2000",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1023/A:1016689830453",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D32 (41A55)",
MRnumber = "1 827 155",
bibdate = "Mon Sep 29 08:37:05 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib;
MathSciNet database",
note = "Mathematical journey through analysis, matrix theory
and scientific computation (Kent, OH, 1999).",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/3/20/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/3/20/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2000:QRR,
author = "Walter Gautschi and Laura Gori and M. Laura {Lo
Cascio}",
title = "Quadrature rules for rational functions",
journal = j-NUM-MATH,
volume = "86",
number = "4",
pages = "617--633",
month = oct,
year = "2000",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/PL00005412",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Nov 13 16:17:20 MST 2000",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t0086004.htm;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/0086004/00860617.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/0086004/00860617.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:2001:CHT,
author = "Walter Gautschi and J{\"o}rg Waldvogel",
title = "Computing the {Hilbert} transform of the generalized
{Laguerre} and {Hermite} weight functions",
journal = j-BIT-NUM-MATH,
volume = "41",
number = "3",
pages = "490--503",
month = jun,
year = "2001",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1021915128433",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 15:06:04 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=41&issue=3;
http://www.mai.liu.se/BIT/contents/bit41.html;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=41&issue=3&spage=490",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2001:NBF,
author = "Walter Gautschi",
title = "{{\em Note\/}}: Barycentric formulae for cardinal
({SINC}-) interpolants by {Jean-Paul Berrut}",
journal = j-NUM-MATH,
volume = "87",
number = "4",
pages = "791--792",
month = feb,
year = "2001",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/PL00005433",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Fri Feb 23 06:45:03 MST 2001",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t1087004.htm;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/1087004/10870791.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/1087004/10870791.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:2001:P,
author = "Walter Gautschi and Francisco Marcell{\'a}n and Lothar
Reichel",
title = "Preface",
journal = j-J-COMPUT-APPL-MATH,
volume = "127",
number = "1--2",
pages = "ix--xi",
day = "15",
month = jan,
year = "2001",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:43:38 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042700004908",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2001:URF,
author = "Walter Gautschi",
title = "The use of rational functions in numerical
quadrature",
journal = j-J-COMPUT-APPL-MATH,
volume = "133",
number = "1--2",
pages = "111--126",
day = "1",
month = aug,
year = "2001",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:45:19 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042700006373",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2002:CBA,
author = "Walter Gautschi",
title = "Computation of {Bessel} and {Airy} functions and of
related {Gaussian} quadrature formulae",
journal = j-BIT-NUM-MATH,
volume = "42",
number = "1",
pages = "110--118",
month = mar,
year = "2002",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1023/A:1021974203359",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "33C10 (33C45 33F05 65D20 65D32)",
MRnumber = "MR1896388 (2003d:33010)",
MRreviewer = "Kh{\'e}lifa Trim{\`e}che",
bibdate = "Wed Jan 4 15:06:05 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=42&issue=1;
http://www.mai.liu.se/BIT/contents/bit42.html;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=42&issue=1&spage=110",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2002:GQA,
author = "W. Gautschi",
title = "{Gauss} quadrature approximations to hypergeometric
and confluent hypergeometric functions",
journal = j-J-COMPUT-APPL-MATH,
volume = "139",
number = "1",
pages = "173--187",
day = "1",
month = feb,
year = "2002",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "33F05 (33C05 33C15 65D20)",
MRnumber = "MR1876879 (2002m:33029)",
bibdate = "Thu Dec 01 09:11:13 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
remark = "The paper treats ordinary and confluent hypergeometric
functions $_2 F_1$ and $_1 F_1$, using their integral
representations to obtain Gaussian quadrature rules.",
}
@Article{Gautschi:2002:IBC,
author = "Walter Gautschi",
title = "The interplay between classical analysis and
(numerical) linear algebra --- a tribute to {Gene H.
Golub}",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "13",
number = "??",
pages = "119--147",
month = "????",
year = "2002",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Thu Jun 6 10:18:47 MDT 2013",
bibsource = "http://etna.mcs.kent.edu/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.13.2002/pp119-147.dir/pp119-147.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
subject-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007)",
}
@Article{Anonymous:2003:BRIc,
author = "Anonymous",
title = "Book Review: {{\booktitle{Introduction to numerical
analysis}}, Texts in Applied Mathematics 12: Third
Edition. By J. Stoer and R. Bulirsch. Translated by R.
Bartels, W. Gautschi, and C. Witzgall. Springer, New
York. (2002). 744 pages. \$69.95}",
journal = j-COMPUT-MATH-APPL,
volume = "46",
number = "2--3",
pages = "509--510",
month = jul # "\slash " # aug,
year = "2003",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 21:49:31 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/computmathappl2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0898122103900587",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Gautschi:2003:EEI,
author = "W. Gautschi and F. E. Harris and N. M. Temme",
title = "Expansions of the exponential integral in incomplete
gamma functions",
journal = j-APPL-MATH-LETT,
volume = "16",
number = "7",
pages = "1095--1099",
month = oct,
year = "2003",
CODEN = "AMLEEL",
DOI = "https://doi.org/10.1016/S0893-9659(03)90100-5",
ISSN = "0893-9659 (print), 1873-5452 (electronic)",
ISSN-L = "0893-9659",
MRclass = "33B20",
bibdate = "Wed Dec 4 10:29:43 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/h/harris-frank-e.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
ZMnumber = "1058.33002",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics Letters",
journal-URL = "http://www.sciencedirect.com/science/journal/08939659",
}
@Article{Gautschi:2004:GGR,
author = "Walter Gautschi",
title = "Generalized {Gauss--Radau} and {Gauss--Lobatto}
Formulae",
journal = j-BIT-NUM-MATH,
volume = "44",
number = "4",
pages = "711--720",
month = dec,
year = "2004",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-004-3812-0",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 15:06:06 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=44&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=44&issue=4&spage=711",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Book{Gautschi:2004:OPC,
author = "Walter Gautschi",
title = "Orthogonal Polynomials: Computation and
Approximation",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "viii + 301",
year = "2004",
ISBN = "0-19-850672-4",
ISBN-13 = "978-0-19-850672-0",
LCCN = "QA404.5 .G356 2004",
bibdate = "Fri Apr 17 10:43:12 MDT 2009",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
z3950.loc.gov:7090/Voyager",
acknowledgement = ack-nhfb,
subject = "Orthogonal polynomials",
xxseries = "Numerical mathematics and scientific computation;
Oxford science publications",
xxURL = "http://www.loc.gov/catdir/enhancements/fy0621/2004556094-d.html;
http://www.loc.gov/catdir/enhancements/fy0621/2004556094-t.html;
http://www.loc.gov/catdir/enhancements/fy0726/2004556094-b.html",
}
@Article{Gautschi:2005:CPO,
author = "Walter Gautschi",
title = "Computing polynomials orthogonal with respect to
densely oscillating and exponentially decaying weight
functions and related integrals",
journal = j-J-COMPUT-APPL-MATH,
volume = "184",
number = "2",
pages = "493--504",
day = "15",
month = dec,
year = "2005",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:00:35 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042705000440",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2005:HLF,
author = "Walter Gautschi",
title = "The {Hardy--Littlewood} function: an exercise in
slowly convergent series",
journal = j-J-COMPUT-APPL-MATH,
volume = "179",
number = "1--2",
pages = "249--254",
day = "1",
month = jul,
year = "2005",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:00:05 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042704004510",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2005:HNG,
author = "Walter Gautschi",
title = "A historical note on {Gauss--Kronrod} quadrature",
journal = j-NUM-MATH,
volume = "100",
number = "3",
pages = "483--484",
month = may,
year = "2005",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-005-0592-7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Sat May 14 10:26:41 MDT 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
abstract = "The idea of Gauss--Kronrod quadrature, in a germinal
form, is traced back to an 1894 paper of R. Skutsch
[Skutsch, Rudolf: {\"U}ber Formelpaare der mechanischen
Quadratur. [On pairs of Formulas for mechanical
quadrature]. Arch. Math. Phys. 13(2), 78--83 (1894)].",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Gautschi:2005:NQC,
author = "Walter Gautschi",
title = "Numerical Quadrature Computation of the {Macdonald}
Function for Complex Orders",
journal = j-BIT-NUM-MATH,
volume = "45",
number = "3",
pages = "593--603",
month = sep,
year = "2005",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-0020-5",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Jan 4 15:06:07 MST 2006",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=45&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=45&issue=3&spage=593",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2005:OPM,
author = "Walter Gautschi",
title = "Orthogonal polynomials (in {Matlab})",
journal = j-J-COMPUT-APPL-MATH,
volume = "178",
number = "1--2",
pages = "215--234",
day = "1",
month = jun,
year = "2005",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2004.03.029",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:00:05 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042704003760",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2006:CKL,
author = "Walter Gautschi",
title = "Computing the {Kontorovich--Lebedev} Integral
Transforms and their Inverses",
journal = j-BIT-NUM-MATH,
volume = "46",
number = "1",
pages = "21--40",
month = mar,
year = "2006",
CODEN = "BITTEL, NBITAB",
DOI = "https://doi.org/10.1007/s10543-005-0036-x",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
bibdate = "Wed Oct 31 11:37:27 MDT 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2006:CTR,
author = "Walter Gautschi",
title = "The circle theorem and related theorems for
{Gauss}-type quadrature rules",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "25",
pages = "129--137",
year = "2006",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Mon Sep 6 12:28:30 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.25.2006/pp129-137.dir/pp129-137.pdf",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Gautschi:2006:OPQ,
author = "Walter Gautschi",
title = "Orthogonal Polynomials, Quadrature, and Approximation:
Computational Methods and Software (in {Matlab})",
journal = j-LECT-NOTES-MATH,
volume = "1883",
pages = "1--77",
year = "2006",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/978-3-540-36716-1_1",
ISBN = "3-540-31062-2 (print), 3-540-36716-0 (e-book)",
ISBN-13 = "978-3-540-31062-4 (print), 978-3-540-36716-1
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "41A55 (65T99; 65D30; 42C05); 33F05 (33C45 42C05
65D20)",
MRnumber = "MR2243527 (2008m:33060)",
bibdate = "Fri May 9 19:07:06 MDT 2014",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/lnm2000.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://link.springer.com/content/pdf/10.1007/978-3-540-36716-1_1.pdf;
http://link.springer.com/content/pdf/bfm:978-3-540-36716-1/1.pdf",
ZMnumber = "1101.41029",
acknowledgement = ack-nhfb,
book-DOI = "https://doi.org/10.1007/b128597",
book-URL = "http://www.springerlink.com/content/978-3-540-36716-1",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Book{Fellmann:2007:LE,
author = "Emil Alfred Fellmann",
title = "{Leonhard Euler}",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xv + 179",
year = "2007",
DOI = "https://doi.org/10.1007/978-3-7643-7539-3",
ISBN = "3-7643-7538-8, 3-7643-7539-6 (e-book)",
ISBN-13 = "978-3-7643-7538-6, 978-3-7643-7539-3 (e-book)",
LCCN = "QA29.E8 F452 2007",
bibdate = "Thu Jun 27 09:12:11 MDT 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/histmath.bib;
http://www.math.utah.edu/pub/tex/bib/mathgaz2010.bib;
z3950.loc.gov:7090/Voyager",
note = "Translated by E. Gautschi and W. Gautschi from the
1995 German original of the same title.",
URL = "http://www.loc.gov/catdir/toc/fy0709/2006937470.html",
acknowledgement = ack-nhfb,
subject = "Euler, Leonhard; Mathematicians; Switzerland;
Biography",
subject-dates = "1707--1783",
xxURL = "http://www.loc.gov/catdir/toc/fy0709/2006937470.html",
}
@Article{Gautschi:2007:CIJ,
author = "Walter Gautschi and Paul Leopardi",
title = "Conjectured inequalities for {Jacobi} polynomials and
their largest zeros",
journal = j-NUMER-ALGORITHMS,
volume = "45",
number = "1--4",
pages = "217--230",
month = aug,
year = "2007",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-007-9067-5",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Jan 10 10:17:18 MST 2020",
bibsource = "http://link.springer.com/journal/11075/45/1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "https://link.springer.com/article/10.1007/s11075-007-9067-5",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2007:GTT,
author = "Walter Gautschi",
title = "A guided tour through my bibliography",
journal = j-NUMER-ALGORITHMS,
volume = "45",
number = "1--4",
pages = "11--35",
month = aug,
year = "2007",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-006-9051-5",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Tue Jul 8 19:14:29 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=45&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=45&issue=1&spage=11",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "bibliography; Walter Gautschi",
}
@Article{Gautschi:2008:CIL,
author = "Walter Gautschi",
title = "On a conjectured inequality for the largest zero of
{Jacobi} polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "49",
number = "1--4",
pages = "195--198",
month = dec,
year = "2008",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9207-6",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 15:07:19 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=195",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2008:EAC,
author = "Walter Gautschi",
title = "On {Euler}'s attempt to compute logarithms by
interpolation: a commentary to his letter of {February
16, 1734} to {Daniel Bernoulli}",
journal = j-J-COMPUT-APPL-MATH,
volume = "219",
number = "2",
pages = "408--415",
day = "1",
month = oct,
year = "2008",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:26 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704270600714X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@InProceedings{Gautschi:2008:ESL,
author = "Walter Gautschi",
title = "{Euler} Special Lecture: {Leonhard Euler}: His life,
the man, and his works",
crossref = "Jeltsch:2008:ICI",
pages = "447--??",
year = "2008",
bibdate = "Wed Aug 26 12:03:46 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:2008:LEH,
author = "Walter Gautschi",
title = "{Leonhard Euler}: His Life, the Man, and His Works",
journal = j-SIAM-REVIEW,
volume = "50",
number = "1",
pages = "3--33",
year = "2008",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/070702710",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Tue Dec 2 17:02:42 MST 2008",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/50/1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib",
URL = "http://link.aip.org/link/?SIR/50/3/1",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
keywords = "and personality; Leonhard Euler; sketch of Euler's
life; works",
xxmonth = "????",
}
@Article{Gautschi:2008:LGW,
author = "Walter Gautschi and Carla Giordano",
title = "{Luigi Gatteschi}'s work on asymptotics of special
functions and their zeros",
journal = j-NUMER-ALGORITHMS,
volume = "49",
number = "1--4",
pages = "11--31",
month = dec,
year = "2008",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9208-5",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 14:08:26 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=11",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2008:NEC,
author = "Walter Gautschi",
title = "The numerical evaluation of a challenging integral",
journal = j-NUMER-ALGORITHMS,
volume = "49",
number = "1--4",
pages = "187--194",
month = dec,
year = "2008",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9157-z",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 15:07:19 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=49&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=49&issue=1&spage=187",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2009:CIZ,
author = "Walter Gautschi",
title = "On conjectured inequalities for zeros of {Jacobi}
polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "50",
number = "1",
pages = "93--96",
month = jan,
year = "2009",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9217-4",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 14:08:29 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=50&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=50&issue=1&spage=93",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2009:HOG,
author = "Walter Gautschi",
title = "High-order generalized {Gauss--Radau} and
{Gauss--Lobatto} formulae for {Jacobi} and {Laguerre}
weight functions",
journal = j-NUMER-ALGORITHMS,
volume = "51",
number = "2",
pages = "143--149",
month = jun,
year = "2009",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9247-y",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 14:08:37 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=51&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "Tributes to Gene H. Golub, Part II.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=51&issue=2&spage=143",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2009:HSB,
author = "Walter Gautschi",
title = "How sharp is {Bernstein}'s inequality for {Jacobi}
polynomials?",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "36",
pages = "1--8",
year = "2009--2010",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Wed May 15 09:41:26 MDT 2013",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.36.2009-2010/pp1-8.dir/pp1-8.pdf;
http://etna.mcs.kent.edu/volumes/2001-2010/vol36/abstract.php?vol=36&pages=1-8",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Gautschi:2009:NCI,
author = "Walter Gautschi",
title = "New conjectured inequalities for zeros of {Jacobi}
polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "50",
number = "3",
pages = "293--296",
month = mar,
year = "2009",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-008-9230-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 14:08:33 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=50&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See remark \cite{Gautschi:2011:RSC}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=50&issue=3&spage=293",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2009:VPR,
author = "Walter Gautschi",
title = "Variable-precision recurrence coefficients for
nonstandard orthogonal polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "52",
number = "3",
pages = "409--418",
month = nov,
year = "2009",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-009-9283-2",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon May 17 14:08:45 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=52&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=52&issue=3&spage=409",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Qi:2009:CLC,
author = "Feng Qi",
title = "A class of logarithmically completely monotonic
functions and application to the best bounds in the
second {Gautschi--Kershaw}'s inequality",
journal = j-J-COMPUT-APPL-MATH,
volume = "224",
number = "2",
pages = "538--543",
day = "15",
month = feb,
year = "2009",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:13:29 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042708002604",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Gautschi:2010:GQR,
author = "Walter Gautschi",
title = "{Gauss} quadrature routines for two classes of
logarithmic weight functions",
journal = j-NUMER-ALGORITHMS,
volume = "55",
number = "2--3",
pages = "265--277",
month = nov,
year = "2010",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-010-9366-0",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30 (41A10 41A55)",
MRnumber = "2720632",
MRreviewer = "Alexandru M. Bica",
bibdate = "Sat Oct 16 17:22:51 MDT 2010",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=55&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=55&issue=2&spage=265",
abstract = "By means of the Matlab symbolic\slash
variable-precision facilities, routines are developed
that generate an arbitrary number of recurrence
coefficients to any given precision for polynomials
orthogonal with respect to weight functions of Laguerre
and Jacobi type containing logarithmic factors. The
vehicle used is a symbolic modified Chebyshev algorithm
based on ordinary as well as modified moments, executed
with sufficiently high precision. The results are
applied to Gaussian quadrature of integrals involving
weight functions of the type mentioned.",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "Gaussian quadrature; logarithmic weight functions;
modified Chebyshev algorithm - Variable-precision
arithmetic; orthogonal polynomials",
}
@Article{Gautschi:2010:STN,
author = "Walter Gautschi",
title = "The spiral of {Theodorus}, numerical analysis, and
special functions",
journal = j-J-COMPUT-APPL-MATH,
volume = "235",
number = "4",
pages = "1042--1052",
day = "15",
month = dec,
year = "2010",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/j.cam.2009.11.054",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65D05 (01A29 33C47 65B10 65D30)",
MRnumber = "2727636",
MRreviewer = "Amparo Gil",
bibdate = "Sat Feb 25 13:24:31 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042709008012",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@InCollection{Gautschi:2011:EMI,
author = "Walter Gautschi",
title = "Experimental Mathematics Involving Orthogonal
Polynomials",
crossref = "Gautschi:2011:ACH",
pages = "117--134",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-6594-3_9",
MRclass = "33C45 (26D05 33-02 33C90 33F05 41A17 41A55 65D30)",
MRnumber = "2759122",
MRreviewer = "Jos\'{e} Luis L\'{o}pez",
bibdate = "Thu Jan 09 18:58:26 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
URL = "https://link.springer.com/chapter/10.1007/978-1-4419-6594-3_9",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:2011:LWF,
author = "Walter Gautschi",
title = "The {Lambert} {$W$}-functions and some of their
integrals: a case study of high-precision computation",
journal = j-NUMER-ALGORITHMS,
volume = "57",
number = "1",
pages = "27--34",
month = may,
year = "2011",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-010-9409-6",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33F05 (33E20 65D20 65D30)",
MRnumber = "2786727",
bibdate = "Wed Apr 27 08:44:14 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=57&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=57&issue=1&spage=27",
abstract = "The real-valued Lambert W-functions considered here
are $ w_0 (y) $ and $ w_{-1}(y) $, solutions of $ w e^w
= y $, $ - 1 / e < y < 0 $, with values respectively in
$ ( - 1, 0) $ and $ ( - \infty, - 1) $. A study is made
of the numerical evaluation to high precision of these
functions and of the integrals, $ \alpha > 0 $, $ \beta
\in \mathbb {R} $, and $ \alpha > - 1 $, $ \beta < 1 $.
For the latter we use known integral representations
and their evaluation by nonstandard Gaussian
quadrature, if $ \alpha \neq \beta $, and explicit
formulae involving the trigamma function, if $ \alpha =
\beta $.",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "Integrals of Lambert W-functions; Lambert W-functions;
Nonstandard Gaussian quadrature; Variable-precision
computation",
}
@InCollection{Gautschi:2011:MCG,
author = "Walter Gautschi",
title = "My Collaboration with {Gradimir V. Milovanovi{\'c}}",
crossref = "Gautschi:2011:ACH",
pages = "33--43",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-6594-3_2",
bibdate = "Thu Jan 09 18:58:26 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:2011:OSO,
author = "Walter Gautschi",
title = "Optimally scaled and optimally conditioned
{Vandermonde} and {Vandermonde}-like matrices",
journal = j-BIT-NUM-MATH,
volume = "51",
number = "1",
pages = "103--125",
month = mar,
year = "2011",
CODEN = "BITTEL, NBITAB",
ISSN = "0006-3835 (print), 1572-9125 (electronic)",
ISSN-L = "0006-3835",
MRclass = "15A12 (15B99 65F35)",
MRnumber = "2784655",
MRreviewer = "Dario Fasino",
bibdate = "Mon Aug 29 17:23:07 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/bit.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=1&spage=103",
acknowledgement = ack-nhfb,
fjournal = "BIT Numerical Mathematics",
journal-URL = "http://link.springer.com/journal/10543",
}
@Article{Gautschi:2011:RNC,
author = "Walter Gautschi",
title = "Remark on {``New conjectured inequalities for zeros of
Jacobi polynomials''} by {Walter Gautschi, Numer.
Algorithms 50:293--296 (2009)}",
journal = j-NUMER-ALGORITHMS,
volume = "57",
number = "4",
pages = "511--511",
month = aug,
year = "2011",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-010-9442-5",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C45 (33F99)",
MRnumber = "2819459",
bibdate = "Fri Jul 22 09:49:03 MDT 2011",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=57&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See \cite{Gautschi:2009:NCI}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=57&issue=4&spage=511",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2012:IBA,
author = "W. Gautschi",
title = "Interpolation before and after {Lagrange}",
journal = "Rend. Semin. Mat. Univ. Politec. Torino",
volume = "70",
number = "4",
pages = "347--368",
year = "2012",
ISSN = "0373-1243",
MRclass = "01A50 (41A05 65-03 65D05)",
MRnumber = "3305552",
bibdate = "Fri Oct 8 10:05:20 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "Rendiconti del Seminario Matematico. Universit\`a e
Politecnico Torino",
}
@Article{Gautschi:2012:NIS,
author = "Walter Gautschi",
title = "Numerical integration over the square in the presence
of algebraic\slash logarithmic singularities with an
application to aerodynamics",
journal = j-NUMER-ALGORITHMS,
volume = "61",
number = "2",
pages = "275--290",
month = oct,
year = "2012",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-012-9611-9",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30",
MRnumber = "2969296",
bibdate = "Wed Mar 6 09:10:29 MST 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=61&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See erratum \cite{Gautschi:2013:ENI}.",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=61&issue=2&spage=275",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2012:SRJ,
author = "Walter Gautschi",
title = "Sub-range {Jacobi} polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "61",
number = "4",
pages = "649--657",
month = dec,
year = "2012",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-012-9556-z",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C47 (65D20 65D30)",
MRnumber = "2995225",
bibdate = "Wed Mar 6 09:10:52 MST 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=61&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See erratum \cite{Gautschi:2017:ESR}.",
URL = "http://link.springer.com/article/10.1007/s11075-012-9556-z/;
http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=61&issue=4&spage=649-657",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2013:ENI,
author = "Walter Gautschi",
title = "Erratum to: {Numerical integration over the square in
the presence of algebraic\slash logarithmic
singularities with an application to aerodynamics}",
journal = j-NUMER-ALGORITHMS,
volume = "64",
number = "4",
pages = "759--759",
month = dec,
year = "2013",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-013-9787-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Feb 7 05:40:26 MST 2014",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=64&issue=4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See \cite{Gautschi:2012:NIS}.",
URL = "http://link.springer.com/article/10.1007/s11075-013-9787-7;
http://link.springer.com/content/pdf/10.1007/s11075-013-9787-7.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2013:NNS,
author = "Walter Gautschi",
title = "Neutralizing nearby singularities in numerical
quadrature",
journal = j-NUMER-ALGORITHMS,
volume = "64",
number = "3",
pages = "417--425",
month = nov,
year = "2013",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-012-9672-9",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30",
MRnumber = "3119999",
MRreviewer = "Maria Carmela De Bonis",
bibdate = "Mon Dec 2 18:18:12 MST 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=64&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-012-9672-9",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2013:RMO,
author = "Walter Gautschi",
title = "Repeated modifications of orthogonal polynomials by
linear divisors",
journal = j-NUMER-ALGORITHMS,
volume = "63",
number = "2",
pages = "369--383",
month = jun,
year = "2013",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-012-9627-1",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "42C05 (33C47 65D30 65D32)",
MRnumber = "3057205",
MRreviewer = "Ulrich D. Jentschura",
bibdate = "Mon Jun 24 10:55:12 MDT 2013",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=63&issue=2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-012-9627-1",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2014:HPG,
author = "Walter Gautschi",
title = "High-precision {Gauss--Tur{\'a}n} quadrature rules for
{Laguerre} and {Hermite} weight functions",
journal = j-NUMER-ALGORITHMS,
volume = "67",
number = "1",
pages = "59--72",
month = sep,
year = "2014",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-013-9774-z",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D30",
MRnumber = "3252837",
MRreviewer = "Gheorghe Coman",
bibdate = "Wed Feb 11 21:57:10 MST 2015",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=67&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-013-9774-z",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Lun:2014:IZJ,
author = "Yen Chi Lun and Fernando Rodrigo Rafaeli",
title = "Inequalities for zeros of {Jacobi} polynomials via
{Sturm}'s theorem: {Gautschi}'s conjectures",
journal = j-NUMER-ALGORITHMS,
volume = "67",
number = "3",
pages = "549--563",
month = nov,
year = "2014",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-013-9807-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Wed Feb 11 21:57:10 MST 2015",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=67&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-013-9807-7",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2015:POR,
author = "Walter Gautschi",
title = "Polynomials orthogonal with respect to exponential
integrals",
journal = j-NUMER-ALGORITHMS,
volume = "70",
number = "1",
pages = "215--226",
month = sep,
year = "2015",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-014-9943-8",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C47 (65D30)",
MRnumber = "3391167",
bibdate = "Tue Sep 29 11:17:09 MDT 2015",
bibsource = "http://link.springer.com/journal/11075/70/1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-014-9943-8",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "$E_\nu$ (exponential integral of arbitrary positive
order); Chebyshev algorithm; Matlab; orthogonal
polynomials; quadrature rules",
}
@Article{Gautschi:2016:AER,
author = "Walter Gautschi",
title = "Algorithm 957: Evaluation of the Repeated Integral of
the Coerror Function by Half-Range {Gauss--Hermite}
Quadrature",
journal = j-TOMS,
volume = "42",
number = "1",
pages = "9:1--9:10",
month = feb,
year = "2016",
CODEN = "ACMSCU",
DOI = "https://doi.org/10.1145/2735626",
ISSN = "0098-3500 (print), 1557-7295 (electronic)",
ISSN-L = "0098-3500",
MRclass = "65D20 (65D30)",
MRnumber = "3472425",
bibdate = "Tue Mar 1 17:07:56 MST 2016",
bibsource = "http://www.acm.org/pubs/contents/journals/toms/;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/toms.bib",
abstract = "Nonstandard Gaussian quadrature is applied to evaluate
the repeated integral $ i^n \erfc x $ of the coerror
function for $ n \in N_0 $, $ x \in R $ in an
appropriate domain of the $ (n, x)$-plane. Relevant
software in MATLAB is provided: in particular, two
routines evaluating the function to an accuracy of 12
respective 30-decimal digits.",
acknowledgement = ack-nhfb,
articleno = "9",
fjournal = "ACM Transactions on Mathematical Software (TOMS)",
journal-URL = "http://dl.acm.org/pub.cfm?id=J782",
}
@Book{Gautschi:2016:OPM,
author = "Walter Gautschi",
title = "Orthogonal polynomials in {MATLAB}: exercises and
solutions",
volume = "26",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "ix + 335",
year = "2016",
ISBN = "1-61197-429-1 (paperback), 1-61197-430-5",
ISBN-13 = "978-1-61197-429-4 (paperback), 978-1-61197-430-0",
LCCN = "QA404.5 .G3564 2016",
MRclass = "33-01 (33-04 33C45 65D20 68W30)",
MRnumber = "3509205",
bibdate = "Thu Jan 9 19:03:59 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib;
http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
series = "Software, environments, and tools",
abstract = "Techniques for generating orthogonal polynomials
numerically have appeared only recently, within the
last 30 or so years. \booktitle{Orthogonal Polynomials
in MATLAB: Exercises and Solutions} describes these
techniques and related applications, all supported by
MATLAB programs, and presents them in a unique format
of exercises and solutions designed by the author to
stimulate participation. Important computational
problems in the physical sciences are included as
models for readers to solve their own problems.",
acknowledgement = ack-nhfb,
subject = "MATLAB; MATLAB; Orthogonal polynomials; Problems,
exercises, etc; Data processing; Orthogonal
polynomials; Algorithmus; Orthogonale Polynome;
Approximation; MATLAB",
tableofcontents = "Preface \\
1. A guide to the software packages OPQ and SOPQ \\
2. Answers to exercises on orthogonal polynomials \\
3. Answers to exercises on Sobolev orthogonal
polynomials \\
4. Answers to exercises on quadrature \\
5. Answers to exercises on approximation \\
A. The software package OPQ (Orthogonal Polynomials and
Quadrature) \\
B The software package SOPQ (Symbolic Orthogonal
Polynomials and Quadrature)",
}
@Article{Gautschi:2017:ESR,
author = "Walter Gautschi",
title = "Erratum to: {Sub-range Jacobi polynomials}",
journal = j-NUMER-ALGORITHMS,
volume = "74",
number = "2",
pages = "637--637",
month = feb,
year = "2017",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-016-0257-x",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C47 (65D20 65D30)",
MRnumber = "3599668",
bibdate = "Wed Mar 1 09:12:14 MST 2017",
bibsource = "http://link.springer.com/journal/11075/74/2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See \cite{Gautschi:2012:SRJ}.",
URL = "http://link.springer.com/content/pdf/10.1007/s11075-016-0257-x.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2017:MPZ,
author = "Walter Gautschi",
title = "Monotonicity properties of the zeros of {Freud} and
sub-range {Freud} polynomials: Analytic and empirical
results",
journal = j-MATH-COMPUT,
volume = "86",
number = "304",
pages = "855--864",
month = "",
year = "2017",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.1090/mcom/3181",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33C47 (33F05)",
MRnumber = "3584551",
MRreviewer = "Anbhu Swaminathan",
bibdate = "Sat Feb 18 08:32:49 MST 2017",
bibsource = "http://www.ams.org/mcom/2017-86-304;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib",
URL = "http://www.ams.org/journals/mcom/2017-86-304/S0025-5718-2016-03181-6;
http://www.ams.org/journals/mcom/2017-86-304/S0025-5718-2016-03181-6/S0025-5718-2016-03181-6.pdf;
http://www.ams.org/mathscinet/search/author.html?mrauthid=71975",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{Gautschi:2017:POR,
author = "Walter Gautschi",
title = "Polynomials orthogonal with respect to cardinal
{B}-spline weight functions",
journal = j-NUMER-ALGORITHMS,
volume = "76",
number = "4",
pages = "1099--1107",
month = dec,
year = "2017",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-017-0298-9",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D07 (42C05)",
MRnumber = "3736229",
MRreviewer = "M. A. Fortes",
bibdate = "Mon Nov 27 06:28:22 MST 2017",
bibsource = "http://link.springer.com/journal/11075/76/4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2018:BTP,
author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
title = "{Binet}-type polynomials and their zeros",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "50",
pages = "52--70",
year = "2018",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "33C47 (65D20)",
MRnumber = "3882260",
MRreviewer = "Iv\'{a}n Area",
bibdate = "Mon Mar 18 13:30:42 MDT 2019",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.50.2018/pp52-70.dir/pp52-70.pdf;
http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=52-70",
acknowledgement = ack-nhfb,
journal-URL = "http://etna.mcs.kent.edu/",
}
@InCollection{Gautschi:2018:DTM,
author = "Walter Gautschi",
booktitle = "Frontiers in orthogonal polynomials and $q$-series",
title = "A discrete top-down {Markov} problem in approximation
theory",
volume = "1",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "267--289",
year = "2018",
MRclass = "41A17 (26D05 41A10 65K05)",
MRnumber = "3791624",
MRreviewer = "Yamilet Quintana",
bibdate = "Fri Oct 8 10:10:30 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
series = "Contemp. Math. Appl. Monogr. Expo. Lect. Notes",
acknowledgement = ack-nhfb,
}
@InCollection{Gautschi:2018:ILA,
author = "Walter Gautschi",
booktitle = "Frontiers in orthogonal polynomials and $q$-series",
title = "On the {Ismail--Letessier--Askey} monotonicity
conjecture for zeros of ultraspherical polynomials",
volume = "1",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "251--266",
year = "2018",
MRclass = "33C45 (65D20)",
MRnumber = "3791623",
bibdate = "Fri Oct 8 10:11:19 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
series = "Contemp. Math. Appl. Monogr. Expo. Lect. Notes",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:2018:PAS,
author = "Walter Gautschi",
title = "Progress by accident: some reflections on my career",
journal = j-SIAM-NEWS,
volume = "51",
number = "10",
pages = "7--8",
year = "2018",
ISSN = "1557-9573",
MRclass = "41-03 (33-03 65-03)",
MRnumber = "3929650",
bibdate = "Fri Oct 8 10:11:54 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM News",
journal-URL = "http://www.siam.org/news/",
}
@Book{Gautschi:2018:SRO,
author = "Walter Gautschi",
title = "A software repository for orthogonal polynomials",
volume = "28",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "viii + 60",
year = "2018",
DOI = "https://doi.org/10.1137/1.9781611975222",
ISBN = "1-61197-522-0",
ISBN-13 = "978-1-61197-522-2",
LCCN = "QA404.5 .G3567 2018",
MRclass = "33-04 (33C45 33F05 42C05 65D20)",
MRnumber = "3810767",
bibdate = "Fri Oct 8 10:13:35 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
series = "Software, Environments, and Tools",
abstract = "Classical and quasi-classical weight functions ---
Nonclassical weight functions. This book provides
access to mathematical objects that are of interest in
all the sciences and engineering. It provides data
object identification numbers where the relevant
information (Matlab pieces of software and numerical
tables) can be found.",
acknowledgement = ack-nhfb,
subject = "Orthogonal polynomials; Computer programs;
Directories; Engineering mathematics; Digital
libraries; Digital Object Identifiers; Polyn{\^o}mes
orthogonaux; Logiciels; R{\'e}pertoires;
Math{\'e}matiques de l'ing{\'e}nieur; Biblioth{\`e}ques
virtuelles; Identificateurs d'objets num{\'e}riques;
Digital libraries.; Digital Object Identifiers.;
Computer programs.",
tableofcontents = "Classical and quasi-classical weight functions \\
Nonclassical weight functions",
}
@Article{Gautschi:2018:ZSJ,
author = "Walter Gautschi",
title = "On the zeros of subrange {Jacobi} polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "79",
number = "3",
pages = "759--768",
month = nov,
year = "2018",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-017-0459-x",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C47 (65D20)",
MRnumber = "3869504",
MRreviewer = "Lalit Mohan Upadhyaya",
bibdate = "Tue Oct 30 08:59:49 MDT 2018",
bibsource = "http://link.springer.com/journal/11075/79/3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See correction \cite{Gautschi:2019:CSR}.",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Pozza:2018:LAC,
author = "Stefano Pozza and Miroslav S. Prani{\'c} and
Zden{\v{e}}k Strako{\v{s}}",
title = "The {Lanczos} algorithm and complex {Gauss}
quadrature",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "50",
pages = "1--19",
year = "2018",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
bibdate = "Wed Nov 7 07:27:24 MST 2018",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
http://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.50.2018/pp1-19.dir/pp1-19.pdf;
http://etna.mcs.kent.edu/volumes/2011-2020/vol50/abstract.php?vol=50&pages=1-19",
abstract = "Gauss quadrature can be naturally generalized in order
to approximate quasi-definite linear functionals, where
the interconnections with (formal) orthogonal
polynomials, (complex) Jacobi matrices, and the Lanczos
algorithm are analogous to those in the positive
definite case. In this survey we review these
relationships with giving references to the literature
that presents them in several related contexts. In
particular, the existence of the $n$-weight (complex)
Gauss quadrature corresponds to successfully performing
the first $n$ steps of the Lanczos algorithm for
generating biorthogonal bases of the two associated
Krylov subspaces. The Jordan decomposition of the
(complex) Jacobi matrix can be explicitly expressed in
terms of the Gauss quadrature nodes and weights and the
associated orthogonal polynomials. Since the output of
the Lanczos algorithm can be made real whenever the
input is real, the value of the Gauss quadrature is a
real number whenever all relevant moments of the
quasi-definite linear functional are real.",
acknowledgement = ack-nhfb,
journal-URL = "http://etna.mcs.kent.edu/",
remark = "Special volume dedicated to Walter Gautschi on the
occasion of his 90th birthday.",
}
@Article{Gautschi:2019:CSR,
author = "Walter Gautschi",
title = "Correction to: {Sub-range Jacobi polynomials}",
journal = j-NUMER-ALGORITHMS,
volume = "81",
number = "2",
pages = "771--771",
month = jun,
year = "2019",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-019-00715-9",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "33C47 (65D20 65D30)",
MRnumber = "3953169",
bibdate = "Mon May 27 06:26:06 MDT 2019",
bibsource = "http://link.springer.com/journal/11075/81/2;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "See \cite{Gautschi:2018:ZSJ}.",
URL = "http://link.springer.com/content/pdf/10.1007/s11075-019-00715-9.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Gautschi:2019:CST,
author = "Walter Gautschi and Ernst Hairer",
title = "On conjectures of {Stenger} in the theory of
orthogonal polynomials",
journal = j-J-INEQUAL-APPL,
pages = "27",
year = "2019",
DOI = "https://doi.org/10.1186/s13660-019-2107-6",
ISSN = "1025-5834",
ISSN-L = "1025-5834",
MRclass = "33C45",
MRnumber = "3959312",
MRreviewer = "Alexander V. Dyachenko",
bibdate = "Thu Oct 3 05:45:54 2019",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib",
note = "Paper no. 159.",
URL = "https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-019-2107-6",
acknowledgement = ack-nhfb,
fjournal = "Journal of Inequalities and Applications",
journal-URL = "http://journalofinequalitiesandapplications.springeropen.com/",
}
@Article{Gautschi:2021:OPR,
author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
title = "Orthogonal polynomials relative to a generalized
{Marchenko--Pastur} probability measure",
journal = j-NUMER-ALGORITHMS,
volume = "88",
number = "3",
pages = "1233--1249",
month = nov,
year = "2021",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-021-01073-1",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Fri Oct 8 09:51:49 MDT 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://link.springer.com/article/10.1007/s11075-021-01073-1",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Book{Gautschi:2021:SRG,
author = "Walter Gautschi",
title = "A software repository for {Gaussian} quadratures and
{Christoffel} functions",
volume = "32",
publisher = pub-SIAM,
address = pub-SIAM:adr,
tableofcontents = "Classical and quasi-classical weight functions
\\
Nonclassical weight functions",
subject = "Gaussian quadrature formulas; Computer programs;
Directories; Christoffel--Darboux formula; Digital
libraries; Digital libraries",
abstract = "This companion piece to A Software Repository for
Orthogonal Polynomials (2018) focuses on Gaussian
quadrature and the related Christoffel function.",
pages = "xvii + 134",
year = "2021",
LCCN = "QA299.4.G3 G38 2021",
ISBN = "1-61197-634-0 (paperback), 1-61197-635-9 (e-book)",
ISBN-13 = "978-1-61197-634-2 (paperback), 978-1-61197-635-9
(e-book)",
MRclass = "65-02 (41-02 41A55 65D30)",
MRnumber = "4191207",
bibdate = "Fri Oct 8 10:16:44 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
series = "Software, Environments, and Tools",
acknowledgement = ack-nhfb,
}
@Article{Gautschi:2022:OPR,
author = "Walter Gautschi and Gradimir V. Milovanovi{\'c}",
title = "Orthogonal polynomials relative to weight functions of
{Prudnikov} type",
journal = j-NUMER-ALGORITHMS,
volume = "90",
number = "1",
pages = "263--270",
month = may,
year = "2022",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-021-01187-6",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Tue Apr 19 12:23:14 MDT 2022",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "https://link.springer.com/article/10.1007/s11075-021-01187-6",
acknowledgement = ack-nhfb,
ajournal = "Numer. Algorithms",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Kershaw:1983:SEW,
author = "D. Kershaw",
title = "Some extensions of {W. Gautschi}'s inequalities for
the gamma function",
journal = j-MATH-COMPUT,
volume = "41",
number = "164",
pages = "607--611",
month = oct,
year = "1983",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "33A15 (26D20 65D20)",
MRnumber = "84m:33003",
MRreviewer = "P. Anandani",
bibdate = "Tue Oct 13 08:06:19 MDT 1998",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR
database",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
}
@Article{I:1991:BRH,
author = "E. I.",
title = "Book Review: {Heinz Rutishauser, \booktitle{Lectures
on Numerical Mathematics} (translated from the German
by Walter Gautschi), Birkhauser, Boston, 1990, xv + 546
pp., 23.5 cm. Price \$49}",
journal = j-MATH-COMPUT,
volume = "57",
number = "196",
pages = "869--870",
month = oct,
year = "1991",
CODEN = "MCMPAF",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
bibdate = "Wed Aug 26 06:50:13 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rutishauser-heinz.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib",
URL = "https://www.jstor.org/stable/2938724",
acknowledgement = ack-nhfb,
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
xxauthor = "Eugene Isaacson",
}
@InCollection{Rice:1994:FBW,
author = "John R. Rice",
title = "Foreword [on the 65th birthday of {Walter Gautschi}]",
crossref = "Zahar:1994:ACF",
pages = "ix--x",
year = "1994",
MRclass = "01A70",
MRnumber = "MR1333603 (96c:01042a)",
bibdate = "Sat Dec 29 12:36:18 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib",
acknowledgement = ack-nhfb,
}
@InCollection{Zahar:1994:IBW,
author = "R. V. M. Zahar",
title = "Introduction [on the 65th birthday of {Walter
Gautschi}]",
crossref = "Zahar:1994:ACF",
volume = "119",
pages = "xi--xvi",
year = "1994",
MRclass = "01A70",
MRnumber = "1333604",
bibdate = "Fri Oct 8 10:25:46 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
series = "Internat. Ser. Numer. Math.",
acknowledgement = ack-nhfb,
}
@Article{Giordano:1998:UTG,
author = "C. Giordano and A. Laforgia and J. Pecari{\'c}",
title = "Unified treatment of {Gautschi--Kershaw} type
inequalities for the gamma function",
journal = j-J-COMPUT-APPL-MATH,
volume = "99",
number = "1--2",
pages = "167--175",
day = "16",
month = nov,
year = "1998",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:36:13 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S037704279800154X",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Hochbruck:1999:GTM,
author = "Marlis Hochbruck and Christian Lubich",
title = "A {Gautschi}-type method for oscillatory second-order
differential equations",
journal = j-NUM-MATH,
volume = "83",
number = "3",
pages = "403--426",
month = sep,
year = "1999",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 10:45:18 MDT 1999",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t9083003.htm;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/9083003/90830403.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/9083003/90830403.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Alzer:2003:GHM,
author = "Horst Alzer",
title = "On {Gautschi}'s harmonic mean inequality for the gamma
function",
journal = j-J-COMPUT-APPL-MATH,
volume = "157",
number = "1",
pages = "243--249",
day = "1",
month = aug,
year = "2003",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:52:37 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042703004564",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Grimm:2005:EBG,
author = "Volker Grimm",
title = "On error bounds for the {Gautschi}-type exponential
integrator applied to oscillatory second-order
differential equations",
journal = j-NUM-MATH,
volume = "100",
number = "1",
pages = "71--89",
month = mar,
year = "2005",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-005-0583-8",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sat May 14 10:26:41 MDT 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Grimm:2005:NGT,
author = "Volker Grimm",
title = "A note on the {Gautschi}-type method for oscillatory
second-order differential equations",
journal = j-NUM-MATH,
volume = "102",
number = "1",
pages = "61--66",
month = nov,
year = "2005",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s00211-005-0639-9",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
bibdate = "Sat Nov 26 18:13:08 MST 2005",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0029-599X&volume=102&issue=1;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0029-599X&volume=102&issue=1&spage=61",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Botchev:2006:GTS,
author = "M. A. Botchev and D. Harutyunyan and J. J. W. van der
Vegt",
title = "The {Gautschi} time stepping scheme for edge finite
element discretizations of the {Maxwell} equations",
journal = j-J-COMPUT-PHYS,
volume = "216",
number = "2",
pages = "654--686",
day = "10",
month = aug,
year = "2006",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/j.jcp.2006.01.014",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
bibdate = "Mon Jan 2 22:13:22 MST 2012",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0021999106000052",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991/",
}
@Article{Segura:2006:ROP,
author = "Javier Segura",
title = "Review of {{\booktitle{Orthogonal Polynomials:
Computation and Approximation}} by Walter Gautschi}",
journal = j-SIAM-REVIEW,
volume = "48",
number = "2",
pages = "431--433",
month = jun,
year = "2006",
CODEN = "SIREAD",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Jan 09 19:25:51 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
URL = "https://www.jstor.org/stable/20453824",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
}
@Article{Koumandos:2007:CIG,
author = "Stamatis Koumandos",
title = "On a conjectured inequality of {Gautschi} and
{Leopardi} for {Jacobi} polynomials",
journal = j-NUMER-ALGORITHMS,
volume = "44",
number = "3",
pages = "249--253",
month = mar,
year = "2007",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-007-9098-y",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "subject classification (2000); Primary 26D05;
Secondary 33B10; 33C45; 42A05",
bibdate = "Tue Jul 8 19:14:29 MDT 2008",
bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1017-1398&volume=44&issue=3;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=1017-1398&volume=44&issue=3&spage=249",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "Inequalities; Jacobi polynomials; Trigonometric
functions",
}
@Article{Qi:2008:WGI,
author = "Feng Qi and Bai-Ni Guo",
title = "{Wendel}'s and {Gautschi}'s inequalities:
{Refinements}, extensions, and a class of
logarithmically completely monotonic functions",
journal = j-APPL-MATH-COMP,
volume = "205",
number = "1",
pages = "281--290",
day = "1",
month = nov,
year = "2008",
CODEN = "AMHCBQ",
DOI = "https://doi.org/10.1016/j.amc.2008.07.005",
ISSN = "0096-3003 (print), 1873-5649 (electronic)",
ISSN-L = "0096-3003",
bibdate = "Fri Sep 3 10:53:23 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/applmathcomput2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0096300308005377",
acknowledgement = ack-nhfb,
fjournal = "Applied Mathematics and Computation",
journal-URL = "http://www.sciencedirect.com/science/journal/00963003/",
}
@Article{Joulak:2009:GCG,
author = "H{\'e}di Joulak and Bernhard Beckermann",
title = "On {Gautschi}'s conjecture for generalized
{Gauss--Radau} and {Gauss--Lobatto} formulae",
journal = j-J-COMPUT-APPL-MATH,
volume = "233",
number = "3",
pages = "768--774",
day = "1",
month = dec,
year = "2009",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:24:19 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2005.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042709001241",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Kunisch:2015:GTS,
author = "Karl Kunisch and Stefan H. Reiterer",
title = "A {Gautschi} time-stepping approach to optimal control
of the wave equation",
journal = j-APPL-NUM-MATH,
volume = "90",
number = "??",
pages = "55--76",
month = apr,
year = "2015",
CODEN = "ANMAEL",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
bibdate = "Tue Feb 10 17:20:06 MST 2015",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0168927414001937",
acknowledgement = ack-nhfb,
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274/",
}
@Misc{Townsend:2016:ROP,
author = "Alex Townsend",
title = "A review of {{\booktitle{Orthogonal Polynomials in
MATLAB: Exercises and Solutions}} by Gautschi}",
howpublished = "Web document.",
pages = "2",
day = "5",
month = nov,
year = "2016",
bibdate = "Thu Jan 09 19:29:26 2020",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/matlab.bib",
URL = "http://pi.math.cornell.edu/~ajt/papers/Gautschi.pdf",
acknowledgement = ack-nhfb,
}
@Article{Xu:2016:EEE,
author = "Zhiguo Xu and Xuanchun Dong and Yongjun Yuan",
title = "Error estimates in the energy space for a
{Gautschi}-type integrator spectral discretization for
the coupled nonlinear {Klein--Gordon} equations",
journal = j-J-COMPUT-APPL-MATH,
volume = "292",
number = "??",
pages = "402--416",
day = "15",
month = jan,
year = "2016",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:34:53 MST 2017",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2015.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S0377042715003799",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Shi:2019:EGT,
author = "Wei Shi and Xinyuan Wu",
title = "Explicit {Gautschi}-type integrators for nonlinear
multi-frequency oscillatory second-order initial value
problems",
journal = j-NUMER-ALGORITHMS,
volume = "81",
number = "4",
pages = "1275--1294",
month = aug,
year = "2019",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-018-0635-7",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Sat Aug 3 16:13:17 MDT 2019",
bibsource = "http://link.springer.com/journal/11075/81/4;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@InCollection{Zahar:1994:PWG,
author = "R. V. M. (Ramsay Vincent Michael) Zahar",
title = "Publications of {Walter Gautschi}",
crossref = "Zahar:1994:ACF",
pages = "xxxvi--xlvi",
year = "1994",
MRclass = "01A70",
MRnumber = "1333606",
bibdate = "Fri Oct 08 10:23:15 2021",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
}
@Book{Abramowitz:1964:HMF,
editor = "Milton Abramowitz and Irene A. Stegun",
key = "NBS",
booktitle = "Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables",
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/authors/g/gautschi-walter.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/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",
}
@Proceedings{Askey:1975:TAS,
editor = "Richard Askey",
booktitle = "{Theory and application of special functions:
proceedings of an advanced seminar sponsored by the
Mathematics Research Center, the University of
Wisconsin-Madison, March 31--April 2, 1975}",
title = "{Theory and application of special functions:
proceedings of an advanced seminar sponsored by the
Mathematics Research Center, the University of
Wisconsin-Madison, March 31--April 2, 1975}",
number = "35",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xi + 560",
year = "1975",
ISBN = "0-12-064850-4",
ISBN-13 = "978-0-12-064850-4",
LCCN = "QA3 .U45 no. 35 QA351",
bibdate = "Sat Oct 30 07:41:32 MDT 2010",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "Publication of the Mathematics Research Center, the
University of Wisconsin",
acknowledgement = ack-nhfb,
citedby = "Fullerton:1980:BEM",
meetingname = "Advanced Seminar on Special Functions, Madison, Wis.,
1975.",
subject = "Functions, Special; Congresses",
}
@Proceedings{Butzer:1981:BCI,
editor = "Paul Leo Butzer and F. (Franziska) Feh{\'e}r",
booktitle = "{E. B. Christoffel}, the influence of his work on
mathematics and the physical sciences",
title = "{E. B. Christoffel}, the influence of his work on
mathematics and the physical sciences",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xxiv + 761",
year = "1981",
DOI = "https://doi.org/10.1007/978-3-0348-5452-8",
ISBN = "3-7643-1162-2",
ISBN-13 = "978-3-7643-1162-9",
LCCN = "QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 1981",
bibdate = "Tue Jan 3 12:47:30 MST 2006",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
sirsi.library.utoronto.ca:2200/UNICORN",
URL = "https://link.springer.com/book/10.1007/978-3-0348-5452-8",
acknowledgement = ack-nhfb,
meetingname = "International Christoffel Symposium in Honour of
Christoffel on the 150th Anniversary of His Birth
(1979: Aachen, Germany, and Monschau, Germany)",
remark = "In English, French, German, and Italian. Contains
expanded versions of the twelve invited lectures given
at the International Christoffel Symposium, held on
November 8--11, 1979 at Achen and Monschau.",
subject = "Christoffel, Edwin Bruno; Mathematics; Science",
subject-dates = "1829--1900",
tableofcontents = "Front Matter / i--xxv \\
Portrait of E. B. Christoffel / ii \\
Preface / v \\
Publications of E. B. Christoffel / ix \\
Contents / xi \\
List of Sponsors / xvii \\
Addresses by G. Urban, F.-W. Janssen, and W. Kruse /
xvii \\
\\
I: Christoffel and His Time \\
\\
Front Matter / 1--1 \\
An Outline of the Life and Work of E. B. Christoffel
(1829--1900) / Paul L. Butzer / 2--29 \\
Zur Genealogie E. B. Christoffels / Manfred Jansen /
30--32 \\
Christoffel und die Mathematik an der polytechnischen
Schule Z{\"u}rich / Max-Albert Knus / 33--41 \\
Die Berliner Gewerbeakademie und ihre Mathematiker /
Eberhard Knobloch / 42--51 \\
Das Mathematische Seminar der Universit{\"a}t
Strassburg 1872--1900 / Friedrich R. Wollmersh{\"a}user
/ 52--70 \\
\\
II: Gauss--Christoffel Quadrature Formulae \\
\\
Front Matter / 71--71 \\
A Survey of Gauss--Christoffel Quadrature Formulae /
Walter Gautschi / 72--147 \\
Numeri di Christoffel e polinomi s-ortogonali /
Alessandro Ossicini, Francesco Rosati / 148--157 \\
\\
III: Orthogonal Polynomials, Continued Fractions and
Pad{\'e} Approximation \\
\\
Front Matter / 159--159 \\
Die Bedeutung der Christoffelschen Summenformel f{\"u}r
die Entwicklung nach Orthogonalpolynomen / J. Meixner /
160--172 \\
Orthogonal Polynomials which Satisfy Second Order
Differential Equations / F. V. Atkinson, W. N. Everitt
/ 173--181 \\
{\"U}ber Orthogonalpolynome mit besonderen
Eigenschaften / Wolfgang Hahn / 182--189 \\
The Work of E. B. Christoffel on the Theory of
Continued Fractions / Peter Wynn / 190--202 \\
A Priori Truncation Error Estimates for Stieltjes
Fractions / Wolfgang J. Thron / 203--211 \\
Generalisations of Pad{\'e} Approximation for Chebyshev
and Fourier Series / J. S. R. Chisholm, A. K. Common /
212--231 \\
An Asymptotic, Pad{\'e} Approximant Method for Legendre
Series / George A. Baker Jr., J. E. Gubernatis /
232--242 \\
\\
IV: Christoffel--Schwarz Transformation and Conformal
Representation \\
\\
Front Matter / 243--243 \\
Die Bedeutung der Arbeiten Christoffels f{\"u}r die
Funktionentheorie / Albert Pfluger / 244--252 \\
Remarks on the Schwarz--Christoffel Transformation / A.
W. Goodman / 253--262 \\
Computer Application of the Schwarz--Christoffel
Transformation / Lloyd N. Trefethen / 263--274 \\
Regularity Properties of Solutions of Elliptic
Equations Near Corners / A. Azzam, E. Kreyszig /
275--289 \\
Das logarithmische Potential und die konforme Abbildung
mehrfach zusammenh{\"a}ngender Gebiete / Dieter Gaier /
290--303 \\
\\
V: Theta Functions, Automorphic Functions and Riemann
Surfaces \\
\\
Front Matter / 305--305 \\
On Automorphic Functions / Christian Pommerenke /
306--313 \\
Semigroups of Holomorphic Maps of a Riemann Surface
into itself which are Homomorphs of the Set of Positive
Reals Considered Additively / Maurice Heins / 314--331
\\
Bemerkungen zur isometrischen Verheftung ebener Gebiete
/ Alfred Huber / 332--335 \\
Eine Bemerkung zu Andrianovs expliziten Formeln f{\"u}r
die Wirkung der Heckeoperatoren auf Thetareihen /
Eberhard Freitag / 336--351 \\
Schottky's Invariant and Quadratic Forms \\
Jun-ichi Igusa / 352--362 \\
\\
VI: Differential Equations, Potential Theory \\
\\
Front Matter / 363--363 \\
A propos d un travail de Christoffel sur les
{\'e}quations diff{\'e}rentielles / J. Martinet /
364--366 \\
{\"U}ber die Beitr{\"a}ge Christoffels zur
Potentialtheorie / Marcel Brelot / 367--377 \\
Application d un Th{\'e}or{\`e}me de H{\"o}rmander
{\`a} l Etude des Singularit{\'e}s des Probl{\`e}mes
aux Limites Hyperboliques / H. G. Garnir, E.
Lejeune-Rifaut / 378--390 \\
On Fundamental Systems of Differential Semi-Invariants
in Several Variables / Hisasi Morikawa / 391--396 \\
Parabolicity and the Riemann Theorem / Mitsuru Nakai,
Leo Sario / 397--400 \\
On the Structure of the Set of Eigenfunctions of
Certain Irregular Boundary Problems / Agnes I. Benedek,
Rafael Panzone / 401--410 \\
\\
VII: Shock Waves, Continuum Mechanics \\
\\
Front Matter / 411--411 \\
Historischer {\"U}berblick zur mathematischen Theorie
von Unstetigkeitswellen seit Riemann und Christoffel /
Ernst H{\"o}lder / 412--434 \\
G. Herglotz Behandlung von Beschleunigungswellen in
seiner Vorlesung \ogMechanik der Kontinua\fg angewandt
auf die Stosswellen von Christoffel / Ernst H{\"o}lder
/ 435--448 \\
Unstetigkeitsfl{\"a}chen in der Kontinuumsmechanik / W.
Arrenbrecht, J. Ballmann / 449--460 \\
\\
VIII: Riemannian Geometry, Submanifolds \\
\\
Front Matter / 461--461 \\
Die Bedeutung von Christoffel f{\"u}r die Geometrie /
W. Klingenberg / 462--473 \\
E. B. Christoffels Weg zum absoluten
Differentialkalk{\"u}l und sein Beitrag zur Theorie des
Kr{\"u}mmungstensors / M. Pinl / 474--479 \\
Une caract{\'e}risation purement m{\'e}trique des
vari{\'e}t{\'e}s Riemanniennes {\`a} courbure constante
/ Marcel Berger / 480--492 \\
Immersions et rep{\`e}res mobiles / Daniel Bernard /
493--507 \\
The Euclidean Laplacian / Thomas James Willmore /
508--516 \\
\\
IX: Invariant Theory, Differential Operators and Field
Physics \\
\\
Front Matter / 517--517 \\
Christoffel und die Invariantentheorie / W. Burau /
518--525 \\
Christoffel's Work on the Equivalence Problem for
Riemannian Spaces and Its Importance for Modem Field
Theories of Physics / J{\"u}rgen Ehlers / 526--542 \\
Some Characterizations of Differential Operators on
Vector Bundles / M. De Wilde, P. Lecomte / 543--549 \\
Connections in Generalized Gauge Fields / Hanno Rund /
550--560 \\
Remarks on the Cauchy Problem for the Maxwell Equations
in a Curved Space-Time / Hans Triebel / 561--566 \\
\\
X: Affine and Projective Structures, Nonlinear
Differential Geometry \\
\\
Front Matter / 567--567 \\
Die Bedeutung Christoffelscher Zusammenh{\"a}nge in der
affinen Differentialgeometrie / Woldemar Barthel,
Reinhard Volkmer / 568--583 \\
On Projective Covariant Differentiation / Robert C.
Gunning / 584--591 \\
Generic Minimal Submanifolds with Flat Normal
Connection / Kentaro Yano, Masahiro Kon / 592--599 \\
{\"U}ber die Verallgemeinerung der Christoffelschen
{\"U}bertragungstheorie in Linienelementenr{\"a}umen /
Arthur Mo{\'o}r / 600--610 \\
Die Verallgemeinerung Christoffelscher
Zusammenh{\"a}nge in der nichtlinearen
Differentialgeometrie / Woldemar Barthel, Helmut Pabel
/ 611--623 \\
\\
XI: G-Spaces, Convex Bodies and Foundations \\
\\
Front Matter / 625--625 \\
Symmetric Spaces and Ellipses / H. Busemann, B. B.
Phadke / 626--635 \\
Zum Beweis eines Eindeutigkeitssatzes von A. D.
Aleksandrow / Kurt Leichtweiss / 636--652 \\
Der Liouvillesche Satz {\"u}ber winkeltreue
(orthogonaltreue) Abbildungen f{\"u}r singul{\"a}re
Metriken / Walter Benz / 653--656 \\
Affine Einbettung absoluter R{\"a}ume beliebiger
Dimension / Helmut Karzel, Monika K{\"o}nig / 657--670
\\
\\
XII: Dispersion of Light, Dynamical Systems \\
\\
Front Matter / 671--671 \\
A Cohomological Invariant of Discrete Dynamical Systems
/ Victor Guillemin, Richard Melrose / 672--679 \\
Dispersion und mechanische {\"A}thertheorien im
19. Jahrhundert / Karl von Meyenn / 680--703 \\
Generalized Riemann Integrals and the Divergence
Theorem for Differentiable Vector Fields / Jean Mawhin
/ 704--714 \\
\\
XIII: Short Communications \\
\\
Front Matter / 715--717 \\
Index to the ``Short Communications'' / 716 \\
\\
Short Articles on Christoffel's Work \\
\\
Christoffel's Work on Shock Waves / F. V. Atkinson /
718--720 \\
Subsequent Work on Christoffel's Problem about
Determining a Surface from Local Measurements / Wm. J.
Firey / 721--723 \\
Recognition of Christoffel's Work on Quadrature during
and after His Lifetime / Walter Gautschi / 724--727 \\
Remarks on E. B. Christoffel's Paper: {\"U}ber die
kleinen Schwingungen eines periodisch eingerichteten
Systems materieller Punkte / Jean Mawhin / 728--730 \\
Remark upon Developments in the Theories of the Moment
Problem and of Quadrature, Subsequent to the Work of
Christoffel / P. Wynn / 731--734 \\
Kommentar eines Geod{\"a}ten zu einer Arbeit E. B.
Christoffels / Erik W. Grafarend / 735--742 \\
\\
Short Commentaries \\
\\
Das Werk Christoffels f{\"u}r die Differentialgeometrie
/ W. Barthel / 743--743 \\
Der Ricci-Kalk{\"u}l im Vergleich zur Methode der
Pfaffschen Formen / W. Haack / 743--744 \\
Christoffel's Work in Complex Analysis / M. Heins /
744--744 \\
Christoffel's Paper of 1866 on Implicit Differential
Equations / J. Mawhin / 744--745 \\
Der Einflu{\ss} Christoffels auf die Potentialtheorie /
M. Brelot / 745--745 \\
Zum Vortrag von Herrn Brelot {\"u}ber Christoffels
Beitr{\"a}ge zur Potentialtheorie / Cl. M{\"u}ller /
745--746 \\
Zur Christoffel--Darboux-Formel / H. Kalf / 746--747
\\
Christoffels Bedeutung vom Standpunkt des Physikers /
K. Bleuler / 747--747 \\
On the Concept of Connections (Gauge Theories) in
Modern Physics / H. A. Kastrup / 747--748 \\
Christoffel und die Feldphysik / J. Ehlers / 748--748
\\
\\
Comments on the Ranking of Christoffel \\
\\
Christoffel und die Differentialgeometrie / W.
Klingenberg / 749--749 \\
Christoffel und die Geometrie / K. Leichtweiss /
749--749 \\
Christoffel und die Funktionentheorie / A. Pfluger /
749--749 \\
Christoffel and Numerical Analysis / W. Gautschi /
749--749 \\
Christoffel und die Kontinuumsmechanik / E. H{\"o}lder
/ 750--750 \\
A General Evaluation of Christoffel / P. L. Butzer, F.
Feh{\'e}r / 750--750 \\
Back Matter / 751--761 \\
\\
Alphabetical List of Paper / 751 \\
Index of AMS Subject Classification Numbers / 754 \\
Index of Key Words and Phrases / 757",
}
@Book{Golub:1984:SNA,
editor = "Gene H. Golub",
booktitle = "Studies in Numerical Analysis",
title = "Studies in Numerical Analysis",
volume = "24",
publisher = pub-MATH-ASSOC-AMER,
address = pub-MATH-ASSOC-AMER:adr,
pages = "x + 415",
year = "1984",
ISBN = "0-88385-126-1 (v. 1), 0-88385-100-8 (set)",
ISBN-13 = "978-0-88385-126-5 (v. 1), 978-0-88385-100-5 (set)",
LCCN = "QA297 .S83 1984",
MRclass = "65-06",
MRnumber = "88i:65007",
bibdate = "Sat Oct 22 17:16:36 1994",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib",
series = "Studies in mathematics",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007)",
keywords = "numerical analysis",
}
@Proceedings{Gautschi:1994:MCH,
editor = "Walter Gautschi",
booktitle = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
title = "{Mathematics of computation, 1943--1993: a
half-century of computational mathematics: Mathematics
of Computation 50th Anniversary Symposium, August
9--13, 1993, Vancouver, British Columbia}",
volume = "48",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "xix + 643",
year = "1994",
ISBN = "0-8218-0291-7, 0-8218-0353-0 (pt. 1), 0-8218-0354-9
(pt. 2)",
ISBN-13 = "978-0-8218-0291-5, 978-0-8218-0353-0 (pt. 1),
978-0-8218-0354-7 (pt. 2)",
ISSN = "0160-7634",
LCCN = "QA1 .A56 v.48 1994",
MRclass = "00B25 (11-06 65-06)",
MRnumber = "95j:00014",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
http://www.math.utah.edu/pub/tex/bib/fparith.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
http://www.math.utah.edu/pub/tex/bib/mathcw.bib",
note = "See also SIAM Review, September 1995, {\bf 37}(3), p.
483.",
series = "Proceedings of Symposia in Applied Mathematics",
acknowledgement = ack-nhfb,
xxnote = "See short book review in SIAM Review, September 1995,
{\bf 37}(3), page 483.",
zz-isbn = "0-8218-0291-7",
}
@Proceedings{Zahar:1994:ACF,
editor = "R. V. M. (Ramsay Vincent Michael) Zahar",
booktitle = "{Approximation and computation: a Festschrift in honor
of Walter Gautschi: proceedings of the Purdue
conference, December 2--5, 1993}",
title = "{Approximation and computation: a Festschrift in honor
of Walter Gautschi: proceedings of the Purdue
conference, December 2--5, 1993}",
volume = "119",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xlvi + 591",
year = "1994",
ISBN = "0-8176-3753-2",
ISBN-13 = "978-0-8176-3753-8",
LCCN = "QA221 .A634 1994",
bibdate = "Wed May 9 09:01:57 MDT 2007",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
http://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
http://www.math.utah.edu/pub/tex/bib/elefunt.bib;
z3950.loc.gov:7090/Voyager",
series = "International series of numerical mathematics",
acknowledgement = ack-nhfb,
subject = "Approximation theory; Congresses; Orthogonal
polynomials; Numerical integration; Functions,
Special",
}
@Proceedings{Gautschi:1999:ACO,
editor = "Walter Gautschi and Gene H. Golub and Gerhard Opfer",
booktitle = "Applications and computation of orthogonal
polynomials: conference at the Mathematical Research
Institute Oberwolfach, Germany, March 22--28, 1998",
title = "Applications and computation of orthogonal
polynomials: conference at the Mathematical Research
Institute Oberwolfach, Germany, March 22--28, 1998",
volume = "131",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xii + 268",
year = "1999",
ISBN = "3-7643-6137-9, 0-8176-6137-9 (paperback)",
ISBN-13 = "978-3-7643-6137-2, 978-0-8176-6137-3 (paperback)",
LCCN = "QA404.5 .A67 1999",
bibdate = "Thu Oct 16 11:26:28 2003",
bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib",
series = "International series of numerical mathematics",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007)",
tableofcontents = "The sensitivity of least squares polynomial
approximation / Bernhard Beckermann and Edward B. Saff
\\
Transpose-free look-ahead algorithms for Lanczos'
method / Claude Brezinski and Michela Redivo-Zaglia \\
Applications of anti-Gauss quadrature rules in linear
algebra / Daniela Calvetti, Lothar Reichel and Fiorella
Sgallari \\
Stieltjes polynomials and the error of Gauss--Kronrod
quadrature formulas / Sven Ehrich \\
Fast solution of confluent Vandermonde-like linear
systems using polynomial arithmetic / Hans-J{\"u}rgen
Fischer \\
On discrete polynomial least-squares approximation in
moving time windows / Erich Fuchs \\
Quadrature rules based on $s$-orthogonal polynomials
for evaluating integrals with strong singularities /
Laura Gori and Elisabetta Santi \\
Gegenbauer weight functions admitting $L_2$ Duffin and
Schaeffer type inequalities / David B. Hunter and Geno
Nikolov \\
Questions related to Gaussian quadrature formulas and
two-term recursions / Dirk P. Laurie \\
Construction and computation of a new set of orthogonal
polynomials / Shikang Li \\
Fourier transforms of orthogonal polynomials of
singular continuous spectral measures / Giorgio Mantica
\\
On a sequence of fast decreasing polynomial operators /
Hrushikesh N. Mhaskar and J{\"u}rgen Prestin \\
Muntz orthogonal polynomials and their numerical
evaluation / Gradimir V. Milovanovic \\
Positivity of Gauss--Kronrod formulae for a certain
ultraspherical weight function / Knut Petras \\
A Christoffel--Darboux-type formula for Szego
polynomials and polynomial evaluation / Michael-Ralf
Skrzipek \\
Applications of tensor-valued tri-variate Hermite
polynomials and spherical harmonics in the kinetic
theory of gases / Kurt Suchy \\
Indeterminate moment problems and a conjecture on the
growth of the entire functions in the Nevanlinna
parametrization / Galliano Valent \\
Spectral methods based on nonclassical orthogonal
polynomials / J. Andre C. Weideman",
}
@Proceedings{Jeltsch:2008:ICI,
editor = "Rolf Jeltsch and Gerhard Wanner",
booktitle = "{6th International congress on industrial and applied
mathematics, ICIAM 07, Z{\"u}rich, Switzerland,
16-20.07.2007}",
title = "{6th International congress on industrial and applied
mathematics, ICIAM 07, Z{\"u}rich, Switzerland,
16-20.07.2007}",
publisher = "European Mathematical Society Publishing House",
address = "Z{\"u}rich, Switzerland",
pages = "xlvi + 483",
year = "2008",
DOI = "https://doi.org/10.4171/056",
ISBN = "3-03719-056-6, 3-03719-556-8 (e-book)",
ISBN-13 = "978-3-03719-056-2, 978-3-03719-556-7 (e-book)",
LCCN = "QA1 .I73 2007",
bibdate = "Wed Aug 26 11:52:20 MDT 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib",
acknowledgement = ack-nhfb,
tableofcontents = "ICIAM Congresses / ix \\
ICIAM Prize Winners / xi \\
Organization of the Congress / xiii \\
List of Sponsors / xxi \\
Opening Ceremony / xxxi \\
Presentation of the ICIAM Prizes by Ian Sloan, Chair of
the Prize Committee / xxxvii \\
Invited Lectures \\
Gr{\'e}goire Allaire, Fran{\c{c}}ois Jouve and Nicolas
Van Goethem / A level set method for the numerical
simulation of damage evolution / 3 \\
Christian Ebenbauer, Tobias Raff and Frank Allg{\"o}wer
/ Dissipation inequalities in systems theory: An
introduction and recent results / 23 \\
Luis A. Caffarelli / Some nonlinear problems involving
non-local diffusions / 43 \\
Claudio Canuto / High-order methods for PDEs: Recent
advances and new perspectives / 57 \\
Margaret Cheney / Radar imaging / 89 \\
Albert Cohen / Adaptive approximations by greedy
algorithms / 99 \\
Weinan E / Multiscale analysis of density functional
theory / 133 \\
Michel Fortin, Carl Robitaille, Andr{\'e} Fortin and
Ali Rezgui / Frictional contact in solid mechanics /
131 \\
Roland Glowinski / Numerical methods for fully
nonlinear elliptic equations / 155 \\
Hitoshi Ishii / Asymptotic solutions of
Hamilton--Jacobi equations for large time and related
topics / 193 \\
Barbara Lee Keyfitz / Hyperbolic conservation laws.
Past and future / 219 \\
Robert V. Kohn and Sylvia Serfaty / Second-order PDE's
and deterministic games / 239 \\
Tatsien Li / Controllability and observability: From
ODEs to quasilinear hyperbolic systems / 251 \\
Jos{\'e} Mario Mart{\'\i}nez / Order-value optimization
and new applications / 279 \\
Christof Sch{\"u}tte, Frank Noe, Eike Meerbach, Philipp
Metzner and Carsten Hartmann / Conformation dynamics /
297 \\
Alexandros Beskos and Andrew Stuart / MCMC methods for
sampling function space / 337 \\
Ichiro Tsuda / Chaotic itinerancy reality in the
dynamic brain--episodic memory formation / 365 \\
Gunther Uhlmann / Visibility and invisibility / 381 \\
Jinchao Xu / Optimal algorithms for discretized partial
differential equations / 409 \\
Euler Special Lecture: Walter Gautschi / Leonhard
Euler: His life, the man, and his works / 447",
}
@Book{Gautschi:2011:ACH,
editor = "Walter Gautschi and Giuseppe Mastroianni and
Themistocles M. Rassias",
booktitle = "Approximation and Computation: In Honor of {Gradimir
V. Milovanovi{\'c}}",
title = "Approximation and Computation: In Honor of {Gradimir
V. Milovanovi{\'c}}",
volume = "42",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xviii + 482",
year = "2011",
DOI = "https://doi.org/10.1007/978-1-4419-6594-3",
ISBN = "1-4419-6593-9 (paperback), 1-4419-6594-7 (e-book),
1-4419-6595-5, 1-4614-2703-7",
ISBN-13 = "978-1-4419-6593-6 (paperback), 978-1-4419-6594-3
(e-book), 978-1-4419-6595-0, 978-1-4614-2703-2",
LCCN = "QA39.2 .A67 2011; QA221 .A6345 2011",
bibdate = "Thu Jan 9 18:51:01 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
series = "Springer Optimization and Its Applications",
abstract = "Approximation theory and numerical analysis are
central to the creation of accurate computer
simulations and mathematical models. Research in these
areas can influence the computational techniques used
in a variety of mathematical and computational
sciences. This collection of contributed chapters,
dedicated to the renowned mathematician Gradimir V.
Milovanovi{\'c}, represent the recent work of experts
in the fields of approximation theory and numerical
analysis. These invited contributions describe new
trends in these important areas of research including
theoretic developments, new computational algorithms,
and multidisciplinary applications. Special features of
this volume: --- Presents results and approximation
methods in various computational settings including
polynomial and orthogonal systems, analytic functions,
and differential equations. --- Provides a historical
overview of approximation theory and many of its
subdisciplines. --- Contains new results from diverse
areas of research spanning mathematics, engineering,
and the computational sciences.
``\booktitle{Approximation and Computation}'' is
intended for mathematicians and researchers focusing on
approximation theory and numerical analysis, but can
also be a valuable resource to students and researchers
in engineering and other computational and applied
sciences.",
acknowledgement = ack-nhfb,
subject = "Inform{\`a}tica; Matem{\`a}tica; Models
estoc{\`a}stics",
tableofcontents = "Cont{\'e}: Part I Introduction. \\
The Scientific Work of Gradimir V. Milovanovi{\'c}
(Aleksandar Ivi{\'c}) \\
My Collaboration with Gradimir V. Milovanovi{\'c}
(Walter Gautschi) \\
On Some Major Trends in Mathematics (Themistocles M.
Rassias) \\
Part II Polynomials and Orthogonal Systems \\
An Application of Sobolev Orthogonal Polynomials to the
Computation of a Special Hankel Determinant (Paul
Barry, Predrag M. Rajkovi{\'c} and Marko D.
Petkovi{\'c}) \\
Extremal Problems for Polynomials in the Complex Plane
(Borislav Bojanov) \\
Energy of Graphs and Orthogonal Matrices (V.
Bo{\v{z}}in and M. Mateljevi{\'c}) \\
Interlacing Property of Zeros of Shifted Jacobi
Polynomials (Aleksandar S. Cvetkovi{\'c}) \\
Trigonometric Orthogonal Systems (Aleksandar S.
Cvetkovi{\'c} and Marija P. Stani{\'c}) \\
Experimental Mathematics Involving Orthogonal
Polynomials (Walter Gautschi) \\
Compatibility of Continued Fraction Convergents with
Pad{\'e} Approximants (Jacek Gilewicz and Rados{\l}aw
Jedynak) \\
Orthogonal Decomposition of Fractal Sets (Ljubi{\v{s}}a
M. Koci{\'c}, Sonja Gegovska Zajkova, Elena
Baba{\v{c}}e) \\
Positive Trigonometric Sums and Starlike Functions
(Stamatis Koumandos) \\
Part III Quadrature Formulae. \\
Quadrature Rules for Unbounded Intervals and Their
Application to Integral Equations (G. Monegato, L.
Scuderi) \\
Gauss-Type Quadrature Formulae for Parabolic Splines
with Equidistant Knots (Geno Nikolov and Corina Simian)
\\
Approximation of the Hilbert Transform on the Real Line
Using Freud Weights (Incoronata Notarangelo) \\
The Remainder Term of Gauss--Tu\'ran Quadratures for
Analytic Functions (Miodrag M. Spalevi{\'c} and
Miroslav S. Prani{\'c}) \\
Towards a General Error Theory of the Trapezoidal Rule
(J{\"o}rg Waldvogel) \\
Part IV Differential Equations \\
Finite Difference Method for a Parabolic Problem with
Concentrated Capacity and Time-Dependent Operator
(Dejan R. Bojovi{\'c} and Bo{\v{s}}ko S. Jovanovi{\'c})
\\
Adaptive Finite Element Approximation of the
Francfort--Marigo Model of Brittle Fracture (Siobhan
Burke, Christoph Ortner and Endre S{\"u}li) \\
A Nystr{\"o}m Method for Solving a Boundary Value
Problems on $[0, \infty)$ (Carmelina Frammartino) \\
Finite Difference Approximation of a Hyperbolic
Transmission Problem (Bo{\v{s}}ko S. Jovanovi{\'c}) \\
Homeomorphisms and Fredholm Theory for Perturbations of
Nonlinear Fredholm Maps of Index Zero and of AProper
Maps with Applications (P. S. Milojevi{\'c}) \\
Singular Support and FLq Continuity of
Pseudodifferential Operators (Stevan Pilipovi{\'c},
Nenad Teofanov and Joachim Toft) \\
On a Class of Matrix Differential Equations with
Polynomial Coefficients (Boro M. Piperevski) \\
Part V Applications \\
Optimized Algorithm for Petviashvili?s Method for
Finding Solitons in Photonic Lattices (Raka
Jovanovi{\'c} and Milan Tuba) \\
Explicit Method for the Numerical Solution of the
Fokker--Planck Equation of Filtered Phase Noise (Dejan
Mili{\'c}) \\
Numerical Method for Computer Study of Liquid Phase
Sintering: Densification Due to Gravity-Induced
Skeletal Settling (Zoran S. Nikoli{\'c}) \\
Computer Algebra and Line Search (Predrag
Stanimirovi{\'c}, Marko Miladinovi{\'c} and Ivan M.
Jovanovi{\'c}) \\
Roots of AG bands (Neboj{\v{s}}a Stevanovi{\'c} and
Petar V. Proti{\'c}) \\
Context Hidden Markov Model for Named Entity
Recognition (Branimir T. Todorovi{\'c}, Svetozar R.
Ran{\v{c}}i{\'c}, Edin H. Mulali{\'c}) \\
On the Interpolating Quadratic Spline (Zlatko Udovi\v
ci{\'c}) \\
Visualization of Infinitesimal Bending of Curves
(Ljubica S. Velimirovi{\'c}, Svetozar R.
Ran{\v{c}}i{\'c}, Milan Lj. Zlatanovi{\'c})",
}
@Book{Brezinski:2013:WGV,
author = "Claude Brezinski and Ahmed Sameh",
booktitle = "{Walter Gautschi}, Volume 1: Selected Works with
Commentaries",
title = "{Walter Gautschi}, Volume 1: Selected Works with
Commentaries",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xi + 694 + 50",
year = "2013",
DOI = "https://doi.org/10.1007/978-1-4614-7034-2",
ISBN = "1-4614-7033-1, 1-4614-7034-X",
ISBN-13 = "978-1-4614-7033-5, 978-1-4614-7034-2",
MRclass = "65-03 (01A75 33-03)",
MRnumber = "3309119",
LCCN = "QA297",
bibdate = "Thu Jan 9 19:14:41 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
series = "Contemporary Mathematicians",
URL = "http://site.ebrary.com/id/10787871",
abstract = "Walter Gautschi has written extensively on topics
ranging from special functions, quadrature and
orthogonal polynomials to difference and differential
equations, software implementations, and the history of
mathematics. He is world renowned for his pioneering
work in numerical analysis and constructive orthogonal
polynomials, including a definitive textbook in the
former, and a monograph in the latter area.",
acknowledgement = ack-nhfb,
subject = "Gautschi, Walter; Gautschi, Walter,; Mathematical
analysis; Numerical analysis; Mathematical analysis.;
Numerical analysis.",
subject-dates = "1927--",
tableofcontents = "Preface \\
Part I Walter Gautschi \\
Biography of Walter Gautschi \\
A brief summary of my scientific work and highlights of
my career \\
Publications \\
Part II Commentaries \\
Numerical conditioning \\
Special functions \\
Interpolation and approximation \\
Part III Reprints \\
Numerical conditioning \\
Special functions \\
Interpolation and approximation",
}
@Book{Brezinski:2014:WGVa,
editor = "Claude Brezinski and Ahmed Sameh",
booktitle = "{Walter Gautschi}. Volume 2: selected works with
commentaries",
title = "{Walter Gautschi}. Volume 2: selected works with
commentaries",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xiii + 914 + 33",
year = "2014",
DOI = "https://doi.org/10.1007/978-1-4614-7049-6",
ISBN = "1-4614-7048-X, 1-4614-7049-8 (e-book)",
MRclass = "65-03 (01A75 33-03 65D30)",
MRnumber = "3309120",
ISBN-13 = "978-1-4614-7048-9, 978-1-4614-7049-6 (e-book)",
LCCN = "QA404.5",
bibdate = "Thu Jan 9 19:16:48 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
series = "Contemporary mathematicians",
URL = "http://link.springer.com/10.1007/978-1-4614-7049-6",
abstract = "Walter Gautschi has written extensively on topics
ranging from special functions, quadrature and
orthogonal polynomials to difference and differential
equations, software implementations, and the history of
mathematics. He is world renowned for his pioneering
work in numerical analysis and constructive orthogonal
polynomials, including a definitive textbook in the
former, and a monograph in the latter area. This
three-volume set, Walter Gautschi: Selected Works with
Commentaries, is a compilation of Gautschis most
influential papers and includes commentaries by leading
experts. The work begins with a detailed biographical
section and ends with a section commemorating Walters
prematurely deceased twin brother. This title will
appeal to graduate students and researchers in
numerical analysis, as well as to historians of
science. Selected Works with Commentaries, Vol. 1
Numerical Conditioning Special Functions Interpolation
and Approximation Selected Works with Commentaries,
Vol. 2 Orthogonal Polynomials on the Real Line
Orthogonal Polynomials on the Semicircle Chebyshev
Quadrature Kronrod and Other Quadratures Gauss-type
Quadrature Selected Works with Commentaries, Vol. 3
Linear Difference Equations Ordinary Differential
Equations Software History and Biography Miscellanea
Works of Werner Gautschi.",
acknowledgement = ack-nhfb,
subject = "Gautschi, Walter; Orthogonal polynomials; Numerical
integration; Mathematics; Numerical Analysis",
subject-dates = "1927--",
tableofcontents = "Part I: Commentaries \\
Orthogonal polynomials on the real line / Gradimir V.
Milovanovi{\'c} \\
Polynomials orthogonal on the semicircle / Lothar
Reichel \\
Chebyshev quadrature / Jaap Korevaar \\
Kronrod and other quadratures / Giovanni Monegato \\
Gauss-type quadrature / Walter Van Assche \\
Part II: Reprints \\
Papers on Orthogonal Polynomials on the Real Line /
Walter Gautschi \\
Papers on Orthogonal Polynomials on the Semicircle /
Walter Gautschi \\
Papers on Chebyshev Quadrature / Walter Gautschi \\
Papers on Kronrod and Other Quadratures / Walter
Gautschi \\
Papers on Gauss-type Quadrature / Walter Gautschi",
}
@Book{Brezinski:2014:WGVb,
editor = "Claude Brezinski and Ahmed Sameh",
booktitle = "{Walter Gautschi}. Volume 3: selected works with
commentaries",
title = "{Walter Gautschi}. Volume 3: selected works with
commentaries",
MRclass = "65-03 (01A75 33-03 65Lxx)",
MRnumber = "3309121",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "xi + 767 + 91 + 29",
year = "2014",
DOI = "https://doi.org/10.1007/978-1-4614-7132-5",
ISBN = "1-4614-7131-1, 1-4614-7132-X (e-book)",
ISBN-13 = "978-1-4614-7131-8, 978-1-4614-7132-5 (e-book)",
LCCN = "QA431",
bibdate = "Thu Jan 9 19:20:40 MST 2020",
bibsource = "fsz3950.oclc.org:210/WorldCat;
http://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
series = "Contemporary mathematicians",
URL = "http://link.springer.com/10.1007/978-1-4614-7132-5",
abstract = "Walter Gautschi has written extensively on topics
ranging from special functions, quadrature and
orthogonal polynomials to difference and differential
equations, software implementations, and the history of
mathematics. He is world renowned for his pioneering
work in numerical analysis and constructive orthogonal
polynomials, including a definitive textbook in the
former, and a monograph in the latter area. This
three-volume set, Walter Gautschi: Selected Works with
Commentaries, is a compilation of Gautschis most
influential papers and includes commentaries by leading
experts. The work begins with a detailed biographical
section and ends with a section commemorating Walters
prematurely deceased twin brother. This title will
appeal to graduate students and researchers in
numerical analysis, as well as to historians of
science. Selected Works with Commentaries, Vol. 1
Numerical Conditioning Special Functions Interpolation
and Approximation Selected Works with Commentaries,
Vol. 2 Orthogonal Polynomials on the Real Line
Orthogonal Polynomials on the Semicircle Chebyshev
Quadrature Kronrod and Other Quadratures Gauss-type
Quadrature Selected Works with Commentaries, Vol. 3
Linear Difference Equations Ordinary Differential
Equations Software History and Biography Miscellanea
Works of Werner Gautschi.",
acknowledgement = ack-nhfb,
subject = "Gautschi, Walter; Gautschi, Walter,; Difference
equations; Differential equations; Mathematical
Computing; MATHEMATICS; Calculus.; Mathematical
Analysis.; Difference equations.; Differential
equations.",
subject-dates = "1927--",
tableofcontents = "Part I: Commentaries \\
Linear recurrence relations / Lisa Lorentzen \\
Ordinary differential equations / John Butcher \\
Computer algorithms and software packages / Gradimir V.
Milovanovi{\'c} \\
History and biography / Gerhard Wanner \\
Miscellanea / Martin J. Gander \\
Part II: Reprints \\
Papers on Linear Recurrence Relations / Walter Gautschi
\\
Papers on Ordinary Differential Equations / Walter
Gautschi \\
Papers on Computer Algorithms and Software Packages /
Walter Gautschi \\
Papers on History and Biography / Walter Gautschi \\
Papers on Miscellanea / Walter Gautschi \\
Part III: Werner Gautschi \\
Publications / Werner Gautschi \\
Obituaries \\
Recording / Trout Quintet",
}
