%%% -*-BibTeX-*-
%%% ====================================================================
%%% BibTeX-file{
%%% author = "Nelson H. F. Beebe",
%%% version = "2.09",
%%% date = "03 June 2024",
%%% time = "07:56:21 MDT",
%%% filename = "varga-richard-steven.bib",
%%% address = "University of Utah
%%% Department of Mathematics, 110 LCB
%%% 155 S 1400 E RM 233
%%% Salt Lake City, UT 84112-0090
%%% USA",
%%% telephone = "+1 801 581 5254",
%%% FAX = "+1 801 581 4148",
%%% URL = "https://www.math.utah.edu/~beebe",
%%% checksum = "24915 10661 44867 471602",
%%% email = "beebe at math.utah.edu, beebe at acm.org,
%%% beebe at computer.org (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography; BibTeX; biomedical
%%% engineering; cancer research; mathematical
%%% analysis; nuclear engineering; numerical
%%% analysis; petroleum engineering; Richard
%%% Steven Varga; Riemann hypothesis",
%%% license = "public domain",
%%% supported = "yes",
%%% docstring = "This is a COMPLETE bibliography of
%%% publications of the distinguished American
%%% numerical analyst Richard Steven Varga (8
%%% October 1928--25 February 2022). Part 2 of
%%% this file contains entries with titles that
%%% refer to him or his works.
%%%
%%% There are Web sites about him at
%%%
%%% https://en.wikipedia.org/wiki/Richard_S._Varga
%%% https://www.math.kent.edu/~varga
%%% https://www.math.kent.edu/~varga/pub.html
%%% https://www.mathgenealogy.org/id.php?id=2675
%%%
%%% Entry Andrievskii:2024:RVO describes the
%%% academic life of Richard Varga, with
%%% descriptions of his major research areas (and
%%% references to his papers in each such area),
%%% plus reminiscences from some of those who
%%% knew him well, a list of his 25 doctoral
%%% students from 1962 to 1995, and a list of his
%%% publications. Everything from that list is
%%% included in this bibliography.
%%%
%%% At version 2.09, the COMPLETE year coverage
%%% looked like this:
%%%
%%% 1949 ( 1) 1975 ( 5) 2001 ( 6)
%%% 1950 ( 0) 1976 ( 14) 2002 ( 0)
%%% 1951 ( 0) 1977 ( 8) 2003 ( 0)
%%% 1952 ( 2) 1978 ( 8) 2004 ( 3)
%%% 1953 ( 1) 1979 ( 6) 2005 ( 1)
%%% 1954 ( 2) 1980 ( 8) 2006 ( 2)
%%% 1955 ( 0) 1981 ( 9) 2007 ( 2)
%%% 1956 ( 1) 1982 ( 4) 2008 ( 4)
%%% 1957 ( 4) 1983 ( 25) 2009 ( 4)
%%% 1958 ( 3) 1984 ( 10) 2010 ( 2)
%%% 1959 ( 6) 1985 ( 6) 2011 ( 0)
%%% 1960 ( 3) 1986 ( 7) 2012 ( 3)
%%% 1961 ( 4) 1987 ( 2) 2013 ( 0)
%%% 1962 ( 3) 1988 ( 9) 2014 ( 0)
%%% 1963 ( 3) 1989 ( 10) 2015 ( 0)
%%% 1964 ( 3) 1990 ( 10) 2016 ( 0)
%%% 1965 ( 4) 1991 ( 7) 2017 ( 0)
%%% 1966 ( 9) 1992 ( 8) 2018 ( 0)
%%% 1967 ( 5) 1993 ( 14) 2019 ( 0)
%%% 1968 ( 10) 1994 ( 11) 2020 ( 0)
%%% 1969 ( 8) 1995 ( 6) 2021 ( 0)
%%% 1970 ( 10) 1996 ( 4) 2022 ( 1)
%%% 1971 ( 6) 1997 ( 3) 2023 ( 1)
%%% 1972 ( 9) 1998 ( 4) 2024 ( 2)
%%% 1973 ( 8) 1999 ( 4)
%%% 1974 ( 4) 2000 ( 6)
%%% 19xx ( 1)
%%%
%%% Article: 272
%%% Book: 12
%%% InCollection: 23
%%% InProceedings: 29
%%% PhdThesis: 1
%%% Proceedings: 10
%%% TechReport: 2
%%%
%%% Total entries: 349
%%%
%%% Richard Varga was born in Cleveland, Ohio, to
%%% Hungarian immigrant parents (the Hungarian
%%% family name Varga translates to the common
%%% English family name Shoemaker). He obtained
%%% a Bachelor's degree in mathematics from Case
%%% Western Reserve University in 1950, and
%%% Masters and doctoral degrees in mathematics
%%% from Harvard University (1954). He worked at
%%% Bettis Atomic Power Laboratory in Pittsburgh,
%%% Pennsylvania, from 1954 to 1960. He was a
%%% professor of mathematics at the Case
%%% Institute of Technology in Cleveland, Ohio,
%%% from 1960 to 1968. He then moved to Kent
%%% State University in Kent, Ohio, were he spent
%%% the rest of his career. He became a Fellow
%%% of the American Mathematical Society in 2013.
%%%
%%% The Mathematics Genealogy Project at
%%%
%%% https://mathgenealogy.org/id.php?id=2675
%%%
%%% in mid 2024 records 25 students of Richard
%%% Varga, and 285 academic descendants.
%%%
%%% Richard Varga wrote 314 publications in
%%% several research areas (only 243 are recorded
%%% in the curriculum vitae), including
%%% biomedical engineering, cancer research,
%%% mathematical analysis, nuclear engineering,
%%% numerical analysis, and petroleum
%%% engineering. His journal articles appear in
%%% 64 distinct journals, of which the most
%%% frequently used are these (excluding counts
%%% below 3):
%%%
%%% -------+-----------------------------
%%% count | journal
%%% -------+-----------------------------
%%% 49 | j-NUM-MATH
%%% 25 | j-LINEAR-ALGEBRA-APPL
%%% 23 | j-LECT-NOTES-MATH
%%% 15 | j-J-APPROX-THEORY
%%% 11 | j-ELECTRON-TRANS-NUMER-ANAL
%%% 10 | j-PAC-J-MATH
%%% 10 | j-SIAM-J-NUMER-ANAL
%%% 8 | j-TRANS-AM-MATH-SOC
%%% 6 | j-CONST-APPROX
%%% 5 | Analysis
%%% 5 | j-AMER-MATH-MONTHLY
%%% 5 | j-NUMER-ALGORITHMS
%%% 4 | j-J-SIAM
%%% 3 | j-J-MATH-PHYS
%%% 3 | j-NUM-LIN-ALG-APPL
%%% 3 | j-RESULTS-MATH
%%% 3 | j-ROCKY-MOUNTAIN-J-MATH
%%% 3 | j-SOC-PET-ENG-J
%%% -------+-----------------------------
%%%
%%% Data for this bibliography have been
%%% collected from the TeX User Group and BibNet
%%% Project bibliography archives at the
%%% University of Utah, with contributions from
%%% the American Mathematical Society MathSciNet
%%% database, and Richard Varga's personal
%%% curriculum vitae, available at links from
%%%
%%% http://www.math.kent.edu/~varga
%%%
%%% The curriculum vitae has numerous
%%% typopgraphical errors, mismatches of titles
%%% and URLs, missing editors, ISBNs, issue
%%% numbers and months, and incorrect page
%%% ranges. Corrections have been made by
%%% consulting article PDFs and publisher journal
%%% archive Web sites. Fortunately, the
%%% curriculum vitae contains links to PDF files
%%% for most of the entries, which is important
%%% because some of the journals and proceedings
%%% have no online archives, and many others
%%% restrict article access to journal
%%% subscribers. It also contains Math Reviews
%%% and Zentralblatt fuer Mathematik database
%%% numbers.
%%%
%%% The checksum field above contains a CRC-16
%%% checksum as the first value, followed by the
%%% equivalent of the standard UNIX wc (word
%%% count) utility output of lines, words, and
%%% characters. This is produced by Robert
%%% Solovay's checksum utility.",
%%% }
%%% ====================================================================
@Preamble{
"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi" #
"\ifx \undefined \cdprime \def \cdprime {$''$} \fi" #
"\ifx \undefined \cprime \def \cprime{$'$} \fi" #
"\ifx \undefined \cyr \let \cyr = \rm \fi" #
"\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}}\fi" #
"\ifx \undefined \mathbf \def \mathbf #1{{\bf #1}}\fi" #
"\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"
}
%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-SCI-MATH-SZEGED = "Acta Scientiarum Mathematicarum (Szeged)"}
@String{j-ADV-APPL-MATH = "Advances in Applied Mathematics"}
@String{j-AEQUATIONES-MATHEMATICAE = "Aequationes Mathematicae"}
@String{j-AMER-MATH-MONTHLY = "American Mathematical Monthly"}
@String{j-ANN-BIOMED-ENG = "Annals of Biomedical Engineering"}
@String{j-ANN-NUM-MATH = "Annals of Numerical Mathematics"}
@String{j-APPL-NUM-MATH = "Applied Numerical Mathematics: Transactions
of IMACS"}
@String{j-BULL-AMS = "Bulletin of the American Mathematical
Society"}
@String{j-COMPLEX-VARIABLES-THEORY-APPL = "Complex Variables, Theory and
Application"}
@String{j-COMPUT-MATH-APPL = "Computers and Mathematics with
Applications"}
@String{j-COMPUT-METH-FUNCT-THEORY = "Computational Methods and Function
Theory"}
@String{j-CONST-APPROX = "Constructive Approximation"}
@String{j-DUKE-MATH-J = "Duke Mathematical Journal"}
@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
Analysis"}
@String{j-INF-PROC = "Information Processing"}
@String{j-INT-J-MATH-MATH-SCI = "International Journal of Mathematics and
Mathematical Sciences"}
@String{j-J-ACM = "Journal of the ACM"}
@String{j-J-APPROX-THEORY = "Journal of Approximation Theory"}
@String{j-J-BIOMED-ENG = "Journal of Biomedical Engineering"}
@String{j-J-COMP-MATH = "Journal of Computational Mathematics"}
@String{j-J-COMPUT-APPL-MATH = "Journal of Computational and Applied
Mathematics"}
@String{j-J-COMPUT-PHYS = "Journal of Computational Physics"}
@String{j-J-MATH-ANAL-APPL = "Journal of Mathematical Analysis and
Applications"}
@String{j-J-MATH-PHYS = "Journal of Mathematical Physics"}
@String{j-J-MATH-PURES-APPL = "Journal de Math{\'e}matiques Pures et
Appliqu{\'e}es"}
@String{j-J-SIAM = "Journal of the Society for Industrial and
Applied Mathematics"}
@String{j-JAHRESBER-DEUTSCH-MATH-VEREIN = "{Jahresbericht der Deutschen
Mathematiker-Vereinigung}"}
@String{j-LECT-NOTES-MATH = "Lecture Notes in Mathematics"}
@String{j-LIN-AND-MULT-ALGEBRA = "Linear and Multilinear Algebra"}
@String{j-LINEAR-ALGEBRA-APPL = "Linear Algebra and its Applications"}
@String{j-MAT-SB = "Matematicheskii sbornik"}
@String{j-MATH-COMPUT = "Mathematics of Computation"}
@String{j-MATH-MODEL-NUM-ANA = "Mathematical modelling and numerical
analysis = Modelisation math{\'e}matique et
analyse num{\'e}rique: $M^2AN$"}
@String{j-MATH-USSR-SBORNIK = "Mathematics of the USSR. Sbornik"}
@String{j-MATH-Z = "Mathematische Zeitschrift"}
@String{j-NUCL-SCI-ENG = "Nuclear Science and Engineering"}
@String{j-NUM-LIN-ALG-APPL = "Numerical Linear Algebra with Applications"}
@String{j-NUM-MATH = "Numerische Mathematik"}
@String{j-NUMER-ALGORITHMS = "Numerical Algorithms"}
@String{j-PAC-J-MATH = "Pacific Journal of Mathematics"}
@String{j-PROC-AM-MATH-SOC = "Proceedings of the American Mathematical
Society"}
@String{j-RESULTS-MATH = "Results in Mathematics = Resultate der Mathematik"}
@String{j-ROCKY-MOUNTAIN-J-MATH = "Rocky Mountain Journal of Mathematics"}
@String{j-SIAM-J-ALG-DISC-METH = "SIAM Journal on Algebraic and Discrete
Methods"}
@String{j-SIAM-J-APPL-MATH = "SIAM Journal on Applied Mathematics"}
@String{j-SIAM-J-MAT-ANA-APPL = "SIAM Journal on Matrix Analysis and
Applications"}
@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-REVIEW = "SIAM Review"}
@String{j-SOC-PET-ENG-J = "Society of Petroleum Engineers journal"}
@String{j-TRANS-AM-MATH-SOC = "Transactions of the American Mathematical
Society"}
@String{j-TRANS-AM-NUCL-SOC = "Transactions of the American Nuclear
Society"}
@String{j-TRANS-IRE = "Transactions of the IRE"}
%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-ACADEMIC = "Academic Press"}
@String{pub-ACADEMIC:adr = "New York, NY, USA"}
@String{pub-ACM = "ACM Press"}
@String{pub-ACM:adr = "New York, NY 10036, USA"}
@String{pub-AMS = "American Mathematical Society"}
@String{pub-AMS:adr = "Providence, RI, USA"}
@String{pub-AW = "Ad{\-d}i{\-s}on-Wes{\-l}ey"}
@String{pub-AW:adr = "Reading, MA, USA"}
@String{pub-BALTZER = "J. C. Baltzer AG, Scientific Publishing
Company"}
@String{pub-BALTZER:adr = "Basel, Switzerland"}
@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-GRUYTER = "Walter de Gruyter"}
@String{pub-GRUYTER:adr = "Berlin, Germany"}
@String{pub-KLUWER = "Kluwer Academic Publishers"}
@String{pub-KLUWER:adr = "Norwell, MA, USA, and Dordrecht, The
Netherlands"}
@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-NORTH-HOLLAND = "North-Holland Publishing Co."}
@String{pub-NORTH-HOLLAND:adr = "Amsterdam, The Netherlands"}
@String{pub-OXFORD = "Oxford University Press"}
@String{pub-OXFORD:adr = "Oxford, UK"}
@String{pub-PH = "Pren{\-}tice-Hall"}
@String{pub-PH:adr = "Upper Saddle River, NJ 07458, USA"}
@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"}
%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNM = "Lecture Notes in Mathematics"}
%%% ====================================================================
%%% Part 1: Publications of Richard S. Varga
%%%
%%% Bibliography entries, sorted in approximate publication order with
%%% ``bibsort --byyear'':
@Article{Spiegel:1952:APSb,
author = "M. R. Spiegel and Murray Gerstenhaber and R. S. Varga
and Simon T. Kao and D. J. Newman and Paul
Erd{\H{o}}s",
title = "Advanced Problems and Solutions: Problems for
Solution: 4483--4487",
journal = j-AMER-MATH-MONTHLY,
volume = "59",
number = "4",
pages = "254--255",
month = apr,
year = "1952",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:36:41 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
xxnote = "See also
\cite{Anonymous:1953:APS,Erdos:1953:APSe,Gerstenhaber:1953:APS,Kao:1953:APS,Newman:1953:APSe,Spiegel:1953:APSb}.",
}
@Article{Varga:1952:SII,
author = "Richard S. Varga",
title = "Semi-infinite and infinite strips free of zeros",
journal = "Rendiconti del Seminario Matematico. Universit{\`a} e
Politecnico Torino",
volume = "11",
pages = "289--296",
year = "1952",
ISSN = "0373-1243",
ISSN-L = "0373-1243",
MRclass = "30.0X",
MRnumber = "51914",
MRreviewer = "J. Korevaar",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_1.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Universit\`a e Politecnico di Torino. Rendiconti del
Seminario Matematico",
journal-URL = "http://www.seminariomatematico.polito.it/rendiconti/",
xxjournal = "Univ. e Politec. Torino Rend. Sem. Mat.",
}
@Article{Gerstenhaber:1953:APS,
author = "Murray Gerstenhaber and R. S. Varga and James Clunie",
title = "Advanced Problems and Solutions: 4484",
journal = j-AMER-MATH-MONTHLY,
volume = "60",
number = "6",
pages = "425--425",
month = jun # "\slash " # jul,
year = "1953",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:09 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "See also \cite{Spiegel:1952:APSb}.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Varga:1954:ECM,
author = "Richard S. Varga",
title = "Eigenvalues of circulant matrices",
journal = j-PAC-J-MATH,
volume = "4",
number = "1",
pages = "151--160",
year = "1954",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "65.0X",
MRnumber = "60897",
MRreviewer = "Charles Saltzer",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103044961;
http://www.math.kent.edu/~varga/pub/paper_2.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@PhdThesis{Varga:1954:PSS,
author = "Richard S. Varga",
title = "Properties of a Special Set of Entire Functions and
Their Respective Partial Sums",
type = "{Ph.D.} thesis",
school = "Harvard University",
address = "Cambridge, MA, USA",
year = "1954",
bibdate = "Wed Apr 20 13:55:07 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
advisor = "J. L. Walsh",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
remark = "Not available for viewing from ProQuest Dissertations
\& Theses Global. No page count or department recorded
there, or in Harvard University Hollis Library
catalog.",
}
@Article{Goldberg:1956:MIF,
author = "Richard R. Goldberg and Richard S. Varga",
title = "{Moebius} inversion of {Fourier} transforms",
journal = j-DUKE-MATH-J,
volume = "23",
number = "4",
pages = "553--559",
month = dec,
year = "1956",
CODEN = "DUMJAO",
DOI = "https://doi.org/10.1215/S0012-7094-56-02354-7",
ISSN = "0012-7094 (print), 1547-7398 (electronic)",
ISSN-L = "0012-7094",
MRclass = "42.2X",
MRnumber = "80800",
MRreviewer = "R. P. Boas",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.dmj/1077467072;
http://www.math.kent.edu/~varga/pub/paper_3.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Duke Mathematical Journal",
journal-URL = "http://projecteuclid.org/info/euclid.dmj",
}
@TechReport{Birkhoff:1957:IAD,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Implicit Alternating Direction Methods",
type = "Technical Report",
number = "WAPD-T-650; NSA-12-003044",
institution = "Westinghouse Electric Corporation Bettis Plant",
address = "Pittsburgh, PA, USA",
pages = "??",
day = "1",
month = oct,
year = "1957",
bibdate = "Sat Nov 04 07:38:59 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "https://www.osti.gov/biblio/4317092",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
}
@TechReport{Birkhoff:1957:RCN,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Reactor Criticality and Non-Negative Matrices",
type = "Technical Report",
number = "WAPD-166; NSA-11-013507",
institution = "Westinghouse Electric Corporation Bettis Plant",
address = "Pittsburgh, PA, USA",
pages = "??",
day = "1",
month = aug,
year = "1957",
bibdate = "Sat Nov 04 07:43:00 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "https://www.osti.gov/biblio/4334992",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1957:CSO,
author = "Richard S. Varga",
title = "A Comparison of the Successive Overrelaxation Method
and Semi-Iterative Methods Using {Chebyshev}
Polynomials",
journal = j-J-SIAM,
volume = "5",
number = "2",
pages = "39--46",
month = jun,
year = "1957",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "65.3X",
MRnumber = "90129",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
URL = "http://www.math.kent.edu/~varga/pub/paper_5.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Varga:1957:NST,
author = "R. S. Varga",
title = "Numerical solution of the two-group diffusion equation
in $ x - y $ geometry",
journal = "IRE Transactions on Nuclear Science",
volume = "NS-4",
pages = "52--62",
year = "1957",
CODEN = "IRNSAM",
ISSN = "0096-2015 (print), 2374-9814 (electronic)",
ISSN-L = "0096-2015",
MRclass = "65.00 (82.00)",
MRnumber = "0102922",
MRreviewer = "G. Birkhoff",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = dec,
URL = "http://www.math.kent.edu/~varga/pub/paper_4.pdf",
acknowledgement = ack-nhfb,
ajournal = "IRE Trans. Nucl. Sci.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the IRE",
}
@Article{Birkhoff:1958:RCN,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Reactor Criticality and Nonnegative Matrices",
journal = j-J-SIAM,
volume = "6",
number = "4",
pages = "354--377",
month = dec,
year = "1958",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "82.00 (60.00)",
MRnumber = "100984",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
note = "See errata \cite{Birkhoff:1959:ERC}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_8.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Garabedian:1958:RRR,
author = "H. L. Garabedian and R. S. Varga and G. G. Bilodeau",
title = "Reactor response to reactivity changes during a xenon
transient",
journal = j-NUCL-SCI-ENG,
volume = "3",
number = "5",
pages = "548--572",
month = "????",
year = "1958",
CODEN = "NSENAO",
DOI = "https://doi.org/10.13182/NSE58-A25492",
ISSN = "0029-5639 (print), 1943-748X (electronic)",
ISSN-L = "0029-5639",
bibdate = "Fri Apr 22 15:28:17 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_6.pdf",
acknowledgement = ack-nhfb,
ajournal = "Nuclear Sci. and Engrg.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Nuclear Science and Engineering: the journal of the
American Nuclear Society",
journal-URL = "https://ans.tandfonline.com/toc/unse20/current;
http://www.ans.org/pubs/journals/nse/",
}
@Article{Holladay:1958:PNN,
author = "John C. Holladay and Richard S. Varga",
title = "On powers of non-negative matrices",
journal = j-PROC-AM-MATH-SOC,
volume = "9",
number = "4",
pages = "631--634",
month = aug,
year = "1958",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2033221",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "15.00",
MRnumber = "97416",
MRreviewer = "B. W. Jones",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_7.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Birkhoff:1959:ERC,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Errata: {``Reactor Criticality and Nonnegative
Matrices'' [J. SIAM {\bf 6} (1958), no. 4, 354--377]}",
journal = j-J-SIAM,
volume = "7",
number = "3",
pages = "343--343",
month = sep,
year = "1959",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib; JSTOR
database",
note = "See \cite{Birkhoff:1958:RCN}.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Birkhoff:1959:IAD,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Implicit alternating direction methods",
journal = j-TRANS-AM-MATH-SOC,
volume = "92",
number = "1",
pages = "13--24",
month = jul # "\slash " # sep,
year = "1959",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1993164",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "65.00 (35.00)",
MRnumber = "105814",
MRreviewer = "J. Douglas, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_10.pdf;
https://www.ams.org/journals/tran/1959-092-01/S0002-9947-1959-0105814-4/S0002-9947-1959-0105814-4.pdf;
https://www.jstor.org/stable/1993164",
ZMnumber = "0093.31201",
acknowledgement = ack-nhfb,
author-dates = "Garrett Birkhoff (19 January 1911--22 November 1996);
Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
gb-number = "101",
journal-URL = "http://www.ams.org/journals/tran/",
ZBmath = "3152585",
}
@Article{Cuthill:1959:MNB,
author = "Elizabeth H. Cuthill and Richard S. Varga",
title = "A Method of Normalized Block Iteration",
journal = j-J-ACM,
volume = "6",
number = "2",
pages = "236--244",
month = apr,
year = "1959",
CODEN = "JACOAH",
DOI = "https://doi.org/10.1145/320964.320981",
ISSN = "0004-5411 (print), 1557-735X (electronic)",
ISSN-L = "0004-5411",
MRclass = "65.00",
MRnumber = "117877",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jacm.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_9.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Association for Computing Machinery",
journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401",
}
@Article{Varga:1959:CMG,
author = "Richard S. Varga",
title = "$p$-cyclic matrices: a generalization of the
{Young--Frankel} successive overrelaxation scheme",
journal = j-PAC-J-MATH,
volume = "9",
number = "2",
pages = "617--628",
month = "Summer",
year = "1959",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "65.00",
MRnumber = "107360",
MRreviewer = "J. Schr{\"{o}}der",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103039283;
http://www.math.kent.edu/~varga/pub/paper_11.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Varga:1959:OSO,
author = "Richard S. Varga",
title = "Orderings of the successive overrelaxation scheme",
journal = j-PAC-J-MATH,
volume = "9",
number = "3",
pages = "925--939",
month = "Fall",
year = "1959",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "65.00",
MRnumber = "113275",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103039130;
http://www.math.kent.edu/~varga/pub/paper_13.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@InProceedings{Varga:1959:TNS,
author = "R. S. Varga and M. A. Martino",
editor = "????",
booktitle = "Proceedings of the {Second United Nations
International Conference on the Peaceful Uses of Atomic
Energy (Geneva, Switzerland, 1--13 September 1958)}",
title = "The theory for the numerical solution of
time-dependent and time-independent multigroup
diffusion equations",
volume = "15",
publisher = "Pergamon Press",
address = "London, UK",
pages = "570--577",
year = "1959",
bibdate = "Fri Apr 22 15:32:42 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_12.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InCollection{Varga:1960:FNI,
author = "Richard S. Varga",
editor = "????",
booktitle = "Boundary Problems in Differential Equations:
proceedings of a symposium conducted by the
{Mathematics Research Center} at the {University of
Wisconsin, Madison, April 20--22, 1959}",
title = "Factorization and normalized iterative methods",
publisher = "University of Wisconsin Press",
address = "Madison, WI, USA",
bookpages = "x + 324",
pages = "121--142",
year = "1960",
LCCN = "QA3 .U45 no. 2",
MRclass = "65.00",
MRnumber = "0121977",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_14.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1960:OAI,
author = "Richard S. Varga",
title = "Overrelaxation applied to implicit alternating
direction methods",
journal = j-INF-PROC,
pages = "85--95",
year = "1960",
ISSN = "0074-3127",
bibdate = "Fri Apr 22 15:36:25 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_15.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Information processing",
pagecount = "12 (typescript)",
remark = "Check: is this a journal article, or a UNESCO
conference proceedings paper? [see \cite[p. 11, ref.
15]{Andrievskii:2024:RVO}. The typescript has UNESCO /
MS / ICIP / D.1.11 in the first line.",
xxpages = "342--??",
}
@InCollection{Varga:1960:RAI,
author = "R. S. Varga",
editor = "????",
booktitle = "Information Processing: Proceedings of the
{International Conference on Information Processing,
UNESCO, Paris, France [15--20 June 1959]}",
title = "Over-relaxation applied to implicit alternating
direction methods",
publisher = "UNESCO and R. Oldenbourg and Butterworths",
address = "Paris, France and Munich, Germany and London, UK",
pages = "85--90",
year = "1960",
ISSN = "0074-3127",
LCCN = "QA76 .I578; Q300 .F60",
MRclass = "65.35",
MRnumber = "0148211",
MRreviewer = "H. A. Antosiewicz",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Golub:1961:CSIa,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {I}",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "147--156",
month = dec,
year = "1961",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386013",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.35",
MRnumber = "145678 (26\#3207)",
MRreviewer = "J. R. Cannon",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/gvl.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "Reprinted in \cite{Chan:2007:MMC}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_17.pdf",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007); Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Golub:1961:CSIb,
author = "Gene H. Golub and Richard S. Varga",
title = "{Chebyshev} Semi-Iterative Methods, Successive
Overrelaxation Iterative Methods, and Second Order
{Richardson} Iterative Methods. {II}",
journal = j-NUM-MATH,
volume = "3",
number = "1",
pages = "157--168",
month = dec,
year = "1961",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386014",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.35",
MRnumber = "145679 (26\#3208)",
MRreviewer = "J. R. Cannon",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/gvl.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_18.pdf",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007); Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "iter; nla; relaxation; Richardson's method;
semi-iterative method",
}
@Article{Varga:1961:HOS,
author = "Richard S. Varga",
title = "On higher order stable implicit methods for solving
parabolic partial differential equations",
journal = j-J-MATH-PHYS,
volume = "40",
pages = "220--231",
year = "1961",
CODEN = "JMAPAQ",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65.68",
MRnumber = "140191",
MRreviewer = "M. Lotkin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_19.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Mathematics and Physics",
journal-URL = "http://jmp.aip.org/",
}
@InProceedings{Varga:1961:NMS,
author = "Richard S. Varga",
booktitle = "Nuclear reactor theory. [Proceedings of the Eleventh
Symposium in Applied Mathematics of the American
Mathematics Society.",
title = "Numerical methods for solving multi-dimensional
multi-group diffusion equations",
volume = "XI",
publisher = pub-AMS,
address = pub-AMS:adr,
bookpages = "v + 339",
pages = "164--189",
year = "1961",
LCCN = "C787.N8",
MRclass = "65.68",
MRnumber = "0127549",
MRreviewer = "H. B. Keller",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_16.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "{Proc. Sympos. Appl. Math., Vol. XI}",
xxbooktitle = "Proceedings of Symposia in Applied Mathematics,
Nuclear Reactor Theory",
}
@InCollection{Birkhoff:1962:ADI,
author = "Garrett Birkhoff and Richard S. Varga and David
Young",
editor = "Franz L. Alt",
booktitle = "Advances in Computers",
title = "Alternating direction implicit methods",
volume = "3",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "189--273",
year = "1962",
ISSN = "0065-2458",
ISSN-L = "0065-2458",
MRclass = "65.65",
MRnumber = "0168131",
MRreviewer = "J. Douglas, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_20.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Feingold:1962:BDD,
author = "David G. Feingold and Richard S. Varga",
title = "Block diagonally dominant matrices and generalizations
of the {Gerschgorin} circle theorem",
journal = j-PAC-J-MATH,
volume = "12",
number = "4",
pages = "1241--1250",
year = "1962",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.25",
MRnumber = "151473",
MRreviewer = "O. Taussky-Todd",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
URL = "http://projecteuclid.org/euclid.pjm/1103036125;
http://www.math.kent.edu/~varga/pub/paper_21.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Book{Varga:1962:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
publisher = pub-PH,
address = pub-PH:adr,
pages = "xiii + 322",
year = "1962",
LCCN = "QA263 .V3 1962",
MRclass = "65.35 (65.65)",
MRnumber = "0158502",
MRreviewer = "A. O. Garder",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
tableofcontents = "Matrix properties and concepts \\
Non-negative matrices \\
Basic iterative methods and comparison theorems \\
Successive overrelaxation iterative methods \\
Semi-iterative methods \\
Derivation and solution of elliptic difference
equations \\
Alternating-direction implicit iterative methods \\
Matrix methods for parabolic partial differential
equations \\
Estimation of acceleration parameters",
}
@Article{Douglas:1963:ADI,
author = "J. {Douglas, Jr.} and R. B. Kellogg and R. S. Varga",
title = "Alternating Direction Iteration Methods for $n$ Space
Variables",
journal = j-MATH-COMPUT,
volume = "17",
number = "83",
pages = "279--282",
month = jul,
year = "1963",
CODEN = "MCMPAF",
DOI = "https://doi.org/10.2307/2003845",
ISSN = "0025-5718 (print), 1088-6842 (electronic)",
ISSN-L = "0025-5718",
MRclass = "65.35",
MRnumber = "160332",
MRreviewer = "M. Lees",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_23.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Mathematics of Computation",
journal-URL = "http://www.ams.org/mcom/",
remark = "In Technical Notes and Short Papers.",
}
@Article{Griffin:1963:NSP,
author = "D. S. Griffin and R. S. Varga",
title = "Numerical Solution of Plane Elasticity Problems",
journal = j-J-SIAM,
volume = "11",
number = "4",
pages = "1046--1062",
month = dec,
year = "1963",
CODEN = "JSIMAV",
ISSN = "0368-4245 (print), 1095-712X (electronic)",
ISSN-L = "0368-4245",
MRclass = "65.66",
MRnumber = "160331",
MRreviewer = "L. Fox",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
note = "See remark \cite{Bueckner:1966:RPD}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_24.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of the Society for Industrial and Applied
Mathematics",
journal-URL = "http://epubs.siam.org/loi/smjmap.1",
}
@Article{Varga:1963:VSO,
author = "Richard S. Varga",
title = "On variants of successive overrelaxation and
alternating direction implicit methods",
journal = j-INF-PROC,
volume = "??",
number = "??",
pages = "203--204",
month = "????",
year = "1963",
ISSN = "0074-3127",
bibdate = "Fri Apr 22 15:43:31 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_22.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Information processing",
remark = "Short communications of Symposium on Matrix
Processing",
xxpages = "167--??",
}
@Article{Hageman:1964:BIM,
author = "Louis A. Hageman and Richard S. Varga",
title = "Block iterative methods for cyclically reduced matrix
equations",
journal = j-NUM-MATH,
volume = "6",
number = "1",
pages = "106--119",
month = dec,
year = "1964",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386061",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.35",
MRnumber = "166912",
MRreviewer = "J. Schr{\"{o}}der",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_25.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Varga:1964:RPP,
author = "R. S. Varga",
title = "Recent Publications and Presentations: {{\em Numerical
Analysis}}, by {Zdenek Kopal}",
journal = j-AMER-MATH-MONTHLY,
volume = "71",
number = "1",
pages = "107--107",
month = jan,
year = "1964",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:21 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Varga:1964:SIG,
author = "Richard S. Varga",
title = "On smallest isolated {Gerschgorin} disks for
eigenvalues",
journal = j-NUM-MATH,
volume = "6",
number = "1",
pages = "366--376",
month = dec,
year = "1964",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01386086",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.40",
MRnumber = "174172",
MRreviewer = "James H. Wilkinson",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_26.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Birkhoff:1965:DEW,
author = "Garrett Birkhoff and Richard S. Varga",
title = "Discretization errors for well-set {Cauchy} problems.
{I}",
journal = j-J-MATH-PHYS,
volume = "44",
pages = "1--23",
year = "1965",
CODEN = "JMAPAQ",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65.65",
MRnumber = "179952",
MRreviewer = "M. Lees",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_28.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Mathematics and Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Varga:1965:IMS,
author = "R. S. Varga",
title = "Iterative Methods for Solving Matrix Equations",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "2 (Part 2)",
pages = "67--74",
month = feb,
year = "1965",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2313312",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "65.35",
MRnumber = "172458",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Part 2: Computers and Computing.",
URL = "http://www.math.kent.edu/~varga/pub/paper_27.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
}
@Article{Varga:1965:MGS,
author = "Richard S. Varga",
title = "Minimal {Gerschgorin} sets",
journal = j-PAC-J-MATH,
volume = "15",
number = "2",
pages = "719--729",
year = "1965",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.25",
MRnumber = "183728",
MRreviewer = "Marvin Marcus",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102995820;
http://www.math.kent.edu/~varga/pub/paper_29.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Varga:1965:RPP,
author = "R. S. Varga",
title = "Recent Publications and Presentations: {{\em Numerical
Analysis}}, by {Nathaniel Macon}",
journal = j-AMER-MATH-MONTHLY,
volume = "72",
number = "4",
pages = "440--440",
month = apr,
year = "1965",
CODEN = "AMMYAE",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
bibdate = "Mon Jun 28 12:37:50 MDT 1999",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "American Mathematical Monthly",
journal-URL = "https://www.jstor.org/journals/00029890.htm",
}
@Article{Griffi:1966:CBR,
author = "D. S. Griffi and R. S. Varga",
title = "Comments on {Bueckner}'s {``Remark on a Paper by D. S.
Griffin and R. S. Varga'' [SIAM J. Appl. Math. {\bf 14}
(1966), no. 2, 414--414]}",
journal = j-SIAM-J-APPL-MATH,
volume = "14",
number = "2",
pages = "415--416",
month = mar,
year = "1966",
CODEN = "SMJMAP",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@Article{Levinger:1966:MGS,
author = "B. W. Levinger and R. S. Varga",
title = "Minimal {Gerschgorin} sets. {II}",
journal = j-PAC-J-MATH,
volume = "17",
number = "2",
pages = "199--210",
year = "1966",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.25",
MRnumber = "194429",
MRreviewer = "Marvin Marcus",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102994613;
http://www.math.kent.edu/~varga/pub/paper_31.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Levinger:1966:POT,
author = "Bernard W. Levinger and Richard S. Varga",
title = "On a problem of {O. Taussky}",
journal = j-PAC-J-MATH,
volume = "19",
number = "3",
pages = "473--487",
month = jul,
year = "1966",
CODEN = "PJMAAI",
DOI = "https://doi.org/10.2140/pjm.1966.19.473",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "15.25",
MRnumber = "206020",
MRreviewer = "O. Taussky-Todd",
bibdate = "Sat Mar 24 10:59:44 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102993718;
http://www.math.kent.edu/~varga/pub/paper_34.pdf",
ZMnumber = "0168.28101",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
subject-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
}
@Article{Price:1966:AOM,
author = "Harvey S. Price and Richard S. Varga and Joseph E.
Warren",
title = "Application of oscillation matrices to
diffusion-convection equations",
journal = j-J-MATH-PHYS,
volume = "45",
pages = "301--311",
year = "1966",
CODEN = "JMAPAQ",
ISSN = "0097-1421",
ISSN-L = "0097-1421",
MRclass = "65.68",
MRnumber = "207230",
MRreviewer = "L. Collatz",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_33.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Mathematics and Physics",
journal-URL = "http://jmp.aip.org/",
}
@Article{Varga:1966:BRT,
author = "R. S. Varga",
title = "Book Review: {{\booktitle{The Theory of Matrices in
Numerical Analysis}} (Alston S. Householder)}",
journal = j-SIAM-REVIEW,
volume = "8",
number = "1",
pages = "127--128",
month = "????",
year = "1966",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1008032",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:05:31 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/8/1;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "January 1966",
}
@Article{Varga:1966:DMP,
author = "Richard S. Varga",
title = "On a Discrete Maximum Principle",
journal = j-SIAM-J-NUMER-ANAL,
volume = "3",
number = "2",
pages = "355--359",
month = jun,
year = "1966",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0703029",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.70",
MRnumber = "202348",
MRreviewer = "H. Oser",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_32.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InProceedings{Varga:1966:HIT,
author = "Richard S. Varga",
editor = "J. H. (James H.) Bramble and Bert Hubbard",
booktitle = "{Numerical Solution of Partial Differential Equations
(Proceedings of a Symposium at the University of
Maryland, 1965)}",
title = "{Hermite} interpolation-type {Ritz} methods for
two-point boundary value problems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "365--373",
year = "1966",
ISSN = "0362-3017",
ISSN-L = "0362-3017",
MRclass = "65.62",
MRnumber = "0205475",
MRreviewer = "B. Hubbard",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_30.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Ciarlet:1967:NMH,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {I}. {One} dimensional
problem",
journal = j-NUM-MATH,
volume = "9",
number = "5",
pages = "394--430",
month = apr,
year = "1967",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02162155",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "221761",
MRreviewer = "F. Perrin",
bibdate = "Mon Oct 18 12:49:00 MDT 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See birthday greetings \cite{Ciarlet:1998:ERV}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_35.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Marek:1967:IDA,
author = "Ivo Marek",
title = "An infinite dimensional analogue of {R. S. Varga}'s
lemma",
journal = "Commentationes Mathematicae Universitatis Carolinae",
volume = "8",
number = "1",
pages = "27--38",
year = "1967",
ISSN = "0010-2628 (print), 1213-7243 (electronic)",
ISSN-L = "0010-2628",
MRclass = "47.90 (65.00)",
MRnumber = "232263",
MRreviewer = "R. S. Varga",
bibdate = "Wed Apr 20 13:43:52 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
ajournal = "Comment. Math. Univ. Carolinae",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Commentationes Mathematicae Universitatis Carolinae",
journal-URL = "https://cmuc.karlin.mff.cuni.cz/",
}
@Article{Schultz:1967:S,
author = "M. H. Schultz and R. S. Varga",
title = "{$L$}-splines",
journal = j-NUM-MATH,
volume = "10",
number = "4",
pages = "345--369",
month = nov,
year = "1967",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02162033",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41.30",
MRnumber = "225068",
MRreviewer = "Ambikeswar Sharma",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_36.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Varga:1967:ASA,
author = "Richard S. Varga",
title = "Abstract: Some Applications of Numerical Analysis to
Physical Problems",
journal = j-SIAM-J-NUMER-ANAL,
volume = "4",
number = "1",
pages = "129--129",
month = mar,
year = "1967",
CODEN = "SJNAAM",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Varga:1967:BRI,
author = "Richard S. Varga",
title = "Book Review: {{\booktitle{Iterative Solution of
Elliptic Systems and Applications to the Neutron
Diffusion Equations of Reactor Physics}} (Eugene L.
Wachspress)}",
journal = j-SIAM-REVIEW,
volume = "9",
number = "4",
pages = "756--758",
month = "????",
year = "1967",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1009131",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Thu Mar 27 09:05:50 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/9/4;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "October 1967",
}
@Article{Birkhoff:1968:PHI,
author = "G. Birkhoff and M. H. Schultz and R. S. Varga",
title = "Piecewise {Hermite} interpolation in one and two
variables with applications to partial differential
equations",
journal = j-NUM-MATH,
volume = "11",
number = "3",
pages = "232--256",
month = mar,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02161845",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.20 (41.00)",
MRnumber = "226817",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_37.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ciarlet:1968:NMHb,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {II}. {Nonlinear} boundary
conditions",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "331--345",
month = may,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02166686",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "229391",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_39.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ciarlet:1968:NMHc,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {III}. {Eigenvalue} problems",
journal = j-NUM-MATH,
volume = "12",
number = "2",
pages = "120--133",
month = aug,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02173406",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "233517",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_41.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ciarlet:1968:NMHd,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {IV}. {Periodic} boundary
conditions",
journal = j-NUM-MATH,
volume = "12",
number = "4",
pages = "266--279",
month = nov,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02162508",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "240992",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_45.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InCollection{Ciarlet:1968:NMHe,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
editor = "????",
booktitle = "Programmation en Math{\'e}matiques Num{\'e}riques
({Actes Colloq. Internat. C.N.R.S. No. 165,
Besan{\c{c}}on, 7--14 septembre 1966})",
title = "Numerical methods of high-order accuracy for
non-linear two-point boundary value problems",
publisher = "{\'E}ditions du Centre National de la Recherche
Scientifique (CNRS)",
address = "Paris, France",
bookpages = "392",
pages = "217--225",
year = "1968",
LCCN = "QA264 .C63 1966",
MRclass = "65.62",
MRnumber = "0233516",
MRreviewer = "G. N. Lance",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_42.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Medley:1968:SIGb,
author = "Helen I. Medley and Richard S. Varga",
title = "On Smallest Isolated {Gerschgorin} Disks for
Eigenvalues. {II}",
journal = j-NUM-MATH,
volume = "11",
number = "4",
pages = "320--323",
month = may,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02166684",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.40",
MRnumber = "229378",
MRreviewer = "James H. Wilkinson",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_38.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Medley:1968:SIGc,
author = "Helen I. Medley and Richard S. Varga",
title = "On Smallest Isolated {Gerschgorin} Disks for
Eigenvalues. {III}",
journal = j-NUM-MATH,
volume = "11",
number = "5",
pages = "361--369",
month = jun,
year = "1968",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02161884",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.40",
MRnumber = "229379",
MRreviewer = "James H. Wilkinson",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_40.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "eig; Gerschgorin's theorem; la",
}
@Article{Price:1968:NMH,
author = "H. S. Price and J. C. Cavendish and R. S. Varga",
title = "Numerical methods of higher-order accuracy for
diffusion--convection equations",
journal = j-SOC-PET-ENG-J,
volume = "8",
number = "??",
pages = "293--303",
month = sep,
year = "1968",
CODEN = "SPTJAJ",
ISSN = "0037-9999",
bibdate = "Fri Apr 22 15:53:50 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_43.pdf",
acknowledgement = ack-nhfb,
ajournal = "J. Soc. Pet. Eng.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Society of Petroleum Engineers journal",
}
@Article{Varga:1968:ERB,
author = "Richard S. Varga",
title = "On an extension of a result of {S. N. Bernstein}",
journal = j-J-APPROX-THEORY,
volume = "1",
number = "2",
pages = "176--179",
month = sep,
year = "1968",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(68)90020-8",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.40",
MRnumber = "240528",
MRreviewer = "Bruno Brosowski",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_46.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Varga:1968:NPP,
author = "Richard S. Varga",
title = "Nonnegatively posed problems and completely monotonic
functions",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "1",
number = "3",
pages = "329--347",
month = jul,
year = "1968",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(68)90013-x",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65.65 (15.00)",
MRnumber = "235742",
MRreviewer = "P. Laasonen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1960.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_44.pdf;
http://www.sciencedirect.com/science/article/pii/002437956890013X",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Cavendish:1969:GMN,
author = "J. C. Cavendish and H. S. Price and R. S. Varga",
title = "{Galerkin} methods for the numerical solution of
boundary value problems",
journal = j-SOC-PET-ENG-J,
volume = "9",
number = "??",
pages = "800--815",
month = jun,
year = "1969",
CODEN = "SPTJAJ",
ISSN = "0197-7520",
ISSN-L = "0197-7520",
bibdate = "Fri Apr 22 16:00:46 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_51.pdf",
acknowledgement = ack-nhfb,
ajournal = "J. Soc. Pet. Eng.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Society of Petroleum Engineers journal",
xxajournal = "Soc. Petroleum Engineers, {AIME} J.",
xxpages = "204--220",
}
@Article{Ciarlet:1969:NMH,
author = "P. G. Ciarlet and M. H. Schultz and R. S. Varga",
title = "Numerical methods of high-order accuracy for nonlinear
boundary value problems. {V}: Monotone Operator
Theory",
journal = j-NUM-MATH,
volume = "13",
number = "1",
pages = "51--77",
month = mar,
year = "1969",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02165273",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.66 (47.00)",
MRnumber = "250496",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_48.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Cody:1969:CRA,
author = "W. J. Cody and G. Meinardus and R. S. Varga",
title = "{Chebyshev} rational approximations to $ e^{-x} $ on $
[0, \infty) $ and applications to heat conduction
problems",
journal = j-J-APPROX-THEORY,
volume = "2",
number = "1",
pages = "50--65",
month = mar,
year = "1969",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(69)90030-6",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "65.67 (41.00)",
MRnumber = "245224 (40\#999)",
MRreviewer = "H. Werner",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_50.pdf",
acknowledgement = ack-nhfb # " and " # ack-wjc,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Herbold:1969:EQE,
author = "R. J. Herbold and M. H. Schultz and R. S. Varga",
title = "The effect of quadrature errors in the numerical
solution of boundary value problems by variational
techniques",
journal = j-AEQUATIONES-MATHEMATICAE,
volume = "3",
number = "1--2",
pages = "247--270",
month = feb,
year = "1969",
CODEN = "AEMABN",
DOI = "https://doi.org/10.1007/BF01817445",
ISSN = "0001-9054 (print), 1420-8903 (electronic)",
ISSN-L = "0001-9054",
MRclass = "65.62",
MRnumber = "261798",
MRreviewer = "Frank Stenger",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_54.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Aequationes Mathematicae",
journal-URL = "http://link.springer.com/journal/10",
}
@InProceedings{Jerome:1969:GSF,
author = "J. W. Jerome and R. S. Varga",
editor = "T. N. E. Greville",
booktitle = "Theory and Applications of Spline Functions
(Proceedings of Seminar, {Math. Research Center, Univ.
of Wisconsin, Madison, Wis.}, 1968)",
title = "Generalizations of spline functions and applications
to nonlinear boundary value and eigenvalue problems",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "103--155",
year = "1969",
MRclass = "41.30 (65.00)",
MRnumber = "0239328",
MRreviewer = "E. W. Cheney",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_47.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Marek:1969:NBS,
author = "Ivo Marek and Richard S. Varga",
title = "Nested bounds for the spectral radius",
journal = j-NUM-MATH,
volume = "14",
number = "1",
pages = "49--70",
month = dec,
year = "1969",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02165099",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "47.30 (15.00)",
MRnumber = "257779",
MRreviewer = "J. Vandergraft",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_53.pdf",
ZMnumber = "221.65063",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Perrin:1969:HON,
author = "F. M. Perrin and H. S. Price and R. S. Varga",
title = "On higher-order numerical methods for nonlinear
two-point boundary value problems",
journal = j-NUM-MATH,
volume = "13",
number = "2",
pages = "180--198",
month = may,
year = "1969",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02163236",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "255069",
MRreviewer = "P. G. Ciarlet",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_49.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Varga:1969:EBS,
author = "Richard S. Varga",
editor = "I. J. Schoenberg",
booktitle = "Approximations, with special emphasis on spline
functions; proceedings of a symposium conducted by the
{Mathematics Research Center, United States Army, at
the University of Wisconsin, Madison, May 5--7, 1969}",
title = "Error bounds for spline interpolation",
volume = "23",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xi + 488",
pages = "367--388",
year = "1969",
ISBN = "0-12-628850-X",
ISBN-13 = "978-0-12-628850-6",
LCCN = "QA3 .U45 no. 23",
MRclass = "41.30",
MRnumber = "0252915",
MRreviewer = "L. L. Schumaker",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_52.pdf",
ZMnumber = "271.41008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Ciarlet:1970:DVG,
author = "P. G. Ciarlet and R. S. Varga",
title = "Discrete variational {Green}'s function. {II}. {One}
dimensional problem",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "115--128",
month = nov,
year = "1970",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02308864",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "275687",
MRreviewer = "J. W. McLaurin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_59.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ciarlet:1970:NMH,
author = "P. G. Ciarlet and F. Natterer and R. S. Varga",
title = "Numerical methods of high-order accuracy for singular
nonlinear boundary value problems",
journal = j-NUM-MATH,
volume = "15",
number = "2",
pages = "87--99",
month = jun,
year = "1970",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02165374",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.62",
MRnumber = "275686",
MRreviewer = "F. Perrin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_57.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Hoffman:1970:PDG,
author = "Alan J. Hoffman and Richard S. Varga",
title = "Patterns of Dependence in Generalizations of
{Gerschgorin}'s Theorem",
journal = j-SIAM-J-NUMER-ANAL,
volume = "7",
number = "4",
pages = "571--574",
month = dec,
year = "1970",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0707047",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "15.55",
MRnumber = "286815",
MRreviewer = "B. Levinger",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_62.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Householder:1970:NGI,
author = "Alston S. Householder and Richard S. Varga and James
H. Wilkinson",
title = "A Note on {Gerschgorin}'s Inclusion Theorem for
Eigenvalues of Matrices",
journal = j-NUM-MATH,
volume = "16",
number = "2",
pages = "141--144",
month = nov,
year = "1970",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF02308866",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65.40 (15.00)",
MRnumber = "0275648 (43 \#1401)",
MRreviewer = "J. Stoer",
bibdate = "Thu Dec 6 18:25:24 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_60.pdf",
ZMnumber = "0192.36903",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C4140 (Linear algebra)",
corpsource = "Univ. Tennessee, Knoxville, TN, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "eigenvalues and eigenfunctions; matrix algebra",
xxtitle = "A note on {Gershgorin}'s inclusion theorem for
eigenvalues of matrices",
}
@Article{Meinardus:1970:CRA,
author = "G{\"u}nter Meinardus and Richard S. Varga",
title = "{Chebyshev} rational approximations to certain entire
functions in $ [0, \, + \infty) $",
journal = j-J-APPROX-THEORY,
volume = "3",
number = "3",
pages = "300--309",
month = sep,
year = "1970",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(70)90054-7",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.17",
MRnumber = "280914",
MRreviewer = "L. Raymon",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_58.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@InProceedings{Price:1970:EBS,
author = "Harvey S. Price and Richard S. Varga",
booktitle = "Numerical Solution of Field Problems in Continuum
Physics ({Proc. Sympos. Appl. Math., Durham, N.C.,
1968}), {SIAM-AMS Proc., Vol. II}",
title = "Error bounds for semidiscrete {Galerkin}
approximations of parabolic problems with applications
to petroleum reservoir mechanics",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "74--94",
year = "1970",
MRclass = "65.68",
MRnumber = "0266452",
MRreviewer = "L. Hageman",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_56.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InCollection{Varga:1970:ANMa,
author = "Richard S. Varga",
editor = "G. Birkhoff and R. S. Varga",
booktitle = "Studies in Numerical Analysis, 2: Numerical Solutions
of Nonlinear Problems ({Symposia, SIAM, Philadelphia,
Pa., 1968})",
title = "Accurate numerical methods for nonlinear boundary
value problems",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "99--113",
year = "1970",
MRclass = "65.62",
MRnumber = "0269130",
MRreviewer = "P. G. Ciarlet",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_55.pdf",
ZMnumber = "221.65130",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{Varga:1970:ANMb,
author = "Richard S. Varga",
editor = "Garrett Birkhoff and Richard S. Varga",
booktitle = "Numerical solution of field problems in continuum
physics; proceedings of a symposium in applied
mathematics [{Durham, N.C., 1968}]",
title = "Accurate numerical methods for nonlinear boundary
value problems",
publisher = pub-AMS,
address = pub-AMS:adr,
bookpages = "viii + 280",
pages = "152--167",
year = "1970",
LCCN = "QC174.45",
MRclass = "65.40",
MRnumber = "0267748",
MRreviewer = "J. Frehse",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
editor-dates = "Garrett Birkhoff (1911-1996); Richard S. Varga
(1928--2022)",
xxbooktitle = "Numerical Solution of Field Problems in Continuum
Physics ({Proc. Sympos. Appl. Math., Durham, N.C.,
1968}), {SIAM-AMS Proc., Vol. II}",
}
@Article{Varga:1970:MGS,
author = "Richard S. Varga",
title = "Minimal {Gerschgorin} Sets for Partitioned Matrices",
journal = j-SIAM-J-NUMER-ANAL,
volume = "7",
number = "4",
pages = "493--507",
month = dec,
year = "1970",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0707040",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65.40",
MRnumber = "283979",
MRreviewer = "John Todd",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_61.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Culham:1971:NMT,
author = "W. E. Culham and Richard S. Varga",
title = "Numerical methods for time-dependent, nonlinear
boundary value problems",
journal = j-SOC-PET-ENG-J,
volume = "11",
number = "??",
pages = "374--388",
month = dec,
year = "1971",
CODEN = "SPTJAJ",
ISSN = "0197-7520",
ISSN-L = "0197-7520",
bibdate = "Fri Apr 22 16:14:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_66.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Society of Petroleum Engineers journal",
xxajournal = "Soc. Petroleum Engineers, {AIME} J.",
}
@Article{Hedstrom:1971:ABS,
author = "Gerald W. Hedstrom and Richard S. Varga",
title = "Application of {Besov} spaces to spline
approximation",
journal = j-J-APPROX-THEORY,
volume = "4",
number = "3",
pages = "295--327",
month = sep,
year = "1971",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(71)90018-9",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41.30",
MRnumber = "282111",
MRreviewer = "L. L. Schumaker",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_65.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Herbold:1971:EQE,
author = "R. J. Herbold and R. S. Varga",
title = "The effect of quadrature errors in the numerical
solution of two-dimensional boundary value problems by
variational techniques",
journal = j-AEQUATIONES-MATHEMATICAE,
volume = "7",
number = "1",
pages = "36--58",
month = feb,
year = "1971",
CODEN = "AEMABN",
DOI = "https://doi.org/10.1007/BF01818691",
ISSN = "0001-9054 (print), 1420-8903 (electronic)",
ISSN-L = "0001-9054",
MRclass = "65N15",
MRnumber = "298979",
MRreviewer = "F. Odeh",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_68.pdf",
ZMnumber = "233.65056",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Aequationes Mathematicae",
journal-URL = "http://link.springer.com/journal/10",
}
@Article{Meinardus:1971:CTE,
author = "G. Meinardus and A. R. Reddy and G. D. Taylor and R.
S. Varga",
title = "Converse theorems and extensions in {Chebyshev}
rational approximation to certain entire functions in $
[0, \, + \infty) $",
journal = j-BULL-AMS,
volume = "77",
pages = "460--461",
year = "1971",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1971-12738-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "30.70",
MRnumber = "273030",
MRreviewer = "A. Meir",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_64.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@Book{Varga:1971:FAA,
author = "R. S. Varga",
title = "Functional Analysis and Approximation Theory in
Numerical Analysis",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "v + 76",
year = "1971",
MRclass = "41A15 (46E35 65J05 65NXX)",
MRnumber = "0310504",
MRreviewer = "J. Burlak",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Conference Board of the Mathematical Sciences Regional
Conference Series in Applied Mathematics, No. 3",
ZMnumber = "226.65064",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{Varga:1971:SRA,
author = "Richard S. Varga",
editor = "B. E. Hubbard",
booktitle = "Numerical Solution of Partial differential Equations
{II}",
title = "Some results in approximation theory with applications
to numerical analysis",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "623--649",
year = "1971",
bibdate = "Fri Apr 22 16:11:30 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_63.pdf",
ZMnumber = "243.65068",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Cavendish:1972:CCN,
author = "J. C. Cavendish and W. E. Culham and R. S. Varga",
title = "A comparison of {Crank--Nicolson} and {Chebyshev}
rational methods for numerically solving linear
parabolic equations",
journal = j-J-COMPUT-PHYS,
volume = "10",
number = "2",
pages = "354--368",
month = oct,
year = "1972",
CODEN = "JCTPAH",
DOI = "https://doi.org/10.1016/0021-9991(72)90072-1",
ISSN = "0021-9991 (print), 1090-2716 (electronic)",
ISSN-L = "0021-9991",
MRclass = "65N20",
MRnumber = "324919",
MRreviewer = "J. Ll. Morris",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputphys1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_72.pdf;
http://www.sciencedirect.com/science/article/pii/0021999172900721",
ZMnumber = "263.65090",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Computational Physics",
journal-URL = "http://www.sciencedirect.com/science/journal/00219991",
}
@Article{Kammerer:1972:ABN,
author = "W. J. Kammerer and R. S. Varga",
title = "On Asymptotically Best Norms for Powers of Operators",
journal = j-NUM-MATH,
volume = "20",
number = "2",
pages = "93--98",
month = apr,
year = "1972",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01404399",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F35",
MRnumber = "323091",
MRreviewer = "L. Hageman",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_74.pdf",
ZMnumber = "244.65027",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Georgia Inst. Technol., Atlanta, GA, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "asymptotically best norms; iterative methods; la;
large systems; linear equations; matrix algebra; matrix
powers; norm; powers of operators; successive
overrelaxation iterative method",
treatment = "T Theoretical or Mathematical",
}
@Article{Meinardus:1972:CTE,
author = "G. Meinardus and A. R. Reddy and G. D. Taylor and R.
S. Varga",
title = "Converse theorems and extensions in {Chebyshev}
rational approximation to certain entire functions in
$ [\ast \ast \ast w(\ast \ast 0, \, + \infty) \ast
\ast \ast w \ast \ast $",
journal = j-TRANS-AM-MATH-SOC,
volume = "170",
number = "443",
pages = "171--185",
month = aug,
year = "1972",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1996302",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "41A20 (26A93)",
MRnumber = "310505",
MRreviewer = "J. R. Rice",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_71.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Pierce:1972:HOCa,
author = "J. G. Pierce and R. S. Varga",
title = "Higher Order Convergence Results for the
{Rayleigh--Ritz} Method Applied to Eigenvalue Problems.
{I}: Estimates Relating {Rayleigh--Ritz} and {Galerkin}
Approximations to Eigenfunctions",
journal = j-SIAM-J-NUMER-ANAL,
volume = "9",
number = "1",
pages = "137--151",
month = mar,
year = "1972",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0709014",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65N30",
MRnumber = "395268",
MRreviewer = "K. Najzar",
bibdate = "Fri Oct 16 06:57:22 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_67.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Pierce:1972:HOCb,
author = "J. G. Pierce and R. S. Varga",
title = "Higher order convergence results for the
{Rayleigh--Ritz} method applied to eigenvalue problems.
{II}. {Improved} error bounds for eigenfunctions",
journal = j-NUM-MATH,
volume = "19",
number = "2",
pages = "155--169",
month = apr,
year = "1972",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01402526",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65N25",
MRnumber = "323133",
MRreviewer = "S. H. Gould",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_69.pdf",
ZMnumber = "234.65092",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Univ. Southern California, Los Angeles, CA, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximating; convergence of numerical methods;
eigenfunctions; eigenvalue problems; eigenvalues and
eigenfunctions; error analysis; error bounds; error
estimates; Galerkin approximation; higher order
convergence results; Rayleigh Ritz method; uniform
norms",
treatment = "T Theoretical or Mathematical",
}
@Article{Swartz:1972:EBS,
author = "Blair K. Swartz and Richard S. Varga",
title = "Error bounds for spline and {$L$}-spline
interpolation",
journal = j-J-APPROX-THEORY,
volume = "6",
number = "2",
pages = "6--49",
month = jul,
year = "1972",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(72)90079-2",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A15",
MRnumber = "367514",
MRreviewer = "C. de Boor",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_70.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@InProceedings{Varga:1972:CSD,
author = "Richard S. Varga",
editor = "P. L. Butzer and J.-P. Kahane and B. Sz.-Nagy",
booktitle = "Linear operators and approximation {(Proc. Conf.,
Oberwolfach, 1971)}",
title = "{Chebyshev} semi-discrete approximations for linear
parabolic problems",
volume = "20",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "452--460",
year = "1972",
MRclass = "65M15 (41A20)",
MRnumber = "0373306",
MRreviewer = "Christopher T. H. Baker",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Internat. Ser. Numer. Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_75.pdf",
ZMnumber = "253.41012",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{Varga:1972:RIA,
author = "Richard S. Varga",
editor = "????",
booktitle = "Information processing 71 {(Proc. IFIP Congr.,
Ljubljana, 1971), Vol. 2: Applications}",
title = "The role of interpolation and approximation theory in
variational and projectional methods for solving
partial differential equations",
publisher = pub-NORTH-HOLLAND,
address = pub-NORTH-HOLLAND:adr,
pages = "1185--1190",
year = "1972",
MRclass = "65N30",
MRnumber = "0458951",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_73.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Carlson:1973:MF,
author = "David H. Carlson and Richard S. Varga",
title = "Minimal {$G$}-functions",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "6",
number = "??",
pages = "97--117",
month = "????",
year = "1973",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(73)90009-8",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Feb 16 18:54:52 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_76.pdf;
http://www.sciencedirect.com/science/article/pii/0024379573900098",
ZMnumber = "246.15009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Carlson:1973:MFI,
author = "David H. Carlson and Richard S. Varga",
title = "Minimal {$G$}-functions. {II}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "7",
number = "3",
pages = "233--242",
month = "????",
year = "1973",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(73)90042-6",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A15",
MRnumber = "342526",
MRreviewer = "R. Merris",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_78.pdf;
http://www.sciencedirect.com/science/article/pii/0024379573900426",
ZMnumber = "261.15017",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@InProceedings{Demko:1973:EEB,
author = "Stephen Demko and Richard S. Varga",
editor = "????",
booktitle = "Approximation theory ({Proc. Internat. Sympos., Univ.
Texas, Austin, Tex., 1973})",
title = "Extended error bounds for spline and {$L$}-spline
interpolation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "313--318",
year = "1973",
LCCN = "QA221 .A6446",
MRclass = "41A15",
MRnumber = "0397245",
MRreviewer = "C. de Boor",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_82.pdf",
ZMnumber = "334.41006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Swartz:1973:NLI,
author = "Blair K. Swartz and Richard S. Varga",
title = "A Note on Lacunary Interpolation by Splines",
journal = j-SIAM-J-NUMER-ANAL,
volume = "10",
number = "3",
pages = "443--447",
month = jun,
year = "1973",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0710038",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D05 (41A05)",
MRnumber = "334457",
MRreviewer = "J. W. Jerome",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_79.pdf",
ZMnumber = "255.65006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Varga:1973:CBI,
author = "Richard S. Varga",
title = "On a Connection between Infima of Norms and
Eigenvalues of Associated Operators",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "6",
number = "??",
pages = "249--256",
month = "????",
year = "1973",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(73)90025-6",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A60",
MRnumber = "311695",
MRreviewer = "C. G. Cullen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_77.pdf;
http://www.sciencedirect.com/science/article/pii/0024379573900256",
ZMnumber = "246.15027",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
keywords = "la, norm, eig",
}
@InProceedings{Varga:1973:CSD,
author = "Richard S. Varga",
editor = "A. Meir and A. Sharma",
booktitle = "Spline functions and approximation theory.
{Proceedings of the Symposium held at the University of
Alberta, Edmonton, May 29 to June 1, 1972}",
title = "{Chebyshev} semi-discrete approximations for linear
parabolic problems",
volume = "21",
publisher = "????",
address = "????",
bookpages = "386",
pages = "383--386",
year = "1973",
ISBN = "3-7643-0670-X",
ISBN-13 = "978-3-7643-0670-0",
LCCN = "QA224 .S65",
MRclass = "41A20",
MRnumber = "0393956",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "International series of numerical mathematics",
acknowledgement = ack-nhfb,
aseries = "Internat. Ser. Numer. Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "Spline functions and approximation theory {(Proc.
Sympos., Univ. Alberta, Edmonton, Alta., 1972)}",
}
@InProceedings{Varga:1973:ESO,
author = "Richard S. Varga",
editor = "J. J. H. Miller",
booktitle = "Topics in numerical analysis {(Proc. Roy. Irish Acad.
Conf., University College, Dublin, 1972)}",
title = "Extensions of the successive overrelaxation theory
with applications to finite element approximations",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "329--343",
year = "1973",
MRclass = "65F10 (65N30)",
MRnumber = "0348986",
MRreviewer = "P. Laasonen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_81.pdf",
ZMnumber = "277.65015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1973:MGS,
author = "Richard S. Varga and Bernard W. Levinger",
title = "On Minimal {Gerschgorin} Sets for Families of Norms",
journal = j-NUM-MATH,
volume = "20",
number = "3",
pages = "252--256",
month = jun,
year = "1973",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01436567",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F15",
MRnumber = "315881",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_80.pdf",
ZMnumber = "302.65029",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "eig; families of norms; Gerschgorin's theorem; la;
matrices; matrix algebra; minimal Gerschgorin sets;
norm",
treatment = "T Theoretical or Mathematical",
}
@Article{Carlson:1974:CF,
author = "David H. Carlson and Richard S. Varga",
title = "On collections of {$G$}-functions",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "8",
number = "1",
pages = "65--76",
month = feb,
year = "1974",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(74)90009-3",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A18",
MRnumber = "332821",
MRreviewer = "B. Levinger",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_83.pdf;
http://www.sciencedirect.com/science/article/pii/0024379574900093",
ZMnumber = "273.15008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Demko:1974:EEB,
author = "Stephen Demko and Richard S. Varga",
title = "Extended {$ L_p $}-error bounds for spline and
{$L$}-spline interpolation",
journal = j-J-APPROX-THEORY,
volume = "12",
number = "3",
pages = "242--264",
month = nov,
year = "1974",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(74)90067-7",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A15",
MRnumber = "397244",
MRreviewer = "C. de Boor",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_84.pdf",
ZMnumber = "315.41005",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Kammerer:1974:QIS,
author = "W. J. Kammerer and G. W. Reddien and R. S. Varga",
title = "Quadratic Interpolatory Splines",
journal = j-NUM-MATH,
volume = "22",
number = "4",
pages = "241--259",
month = aug,
year = "1974",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01406966",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65D05",
MRnumber = "381235",
MRreviewer = "G. Nielson",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "Graphics/imager/imager.75.bib;
Graphics/siggraph/pre75.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_85.pdf",
ZMnumber = "282.65004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Georgia Inst. Technol., Atlanta, GA, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "boundary value problems; boundary-value problems;
error bounds; interpolation; numerical solution;
projectional properties; quadratic interpolatory
splines; splines (mathematics)",
treatment = "T Theoretical or Mathematical",
}
@Book{Varga:1974:CFN,
author = "R. Varga and R. Varga",
title = "\cyr {F}unktsional\cprime ny{\u\i} analiz i teoriya
approksimatsii v chislennom analize",
publisher = "Izdat. ``Mir''",
address = "Moscow, USSR",
pages = "126",
year = "1974",
MRclass = "41A15 (46E35 65J05 65NXX)",
MRnumber = "0358158",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Translated from the English by Ju. A. Kuznecov and A.
M. Macokin, Edited by G. I. Mar{\v{c}}uk",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Alefeld:1975:KSR,
author = "G. Alefeld and R. S. Varga",
title = "Zur {Konvergenz} des symmetrischen
{Relaxationsverfahrens}",
journal = j-NUM-MATH,
volume = "25",
number = "3",
pages = "291--295",
year = "1975/76",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01399418",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "445794",
MRreviewer = "John Todd",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Ling:1975:API,
author = "William H. Ling and John A. Roulier and Richard S.
Varga",
title = "On approximation by polynomials increasing to the
right of the interval",
journal = j-J-APPROX-THEORY,
volume = "14",
number = "4",
pages = "285--295",
year = "1975",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(75)90075-1",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A50",
MRnumber = "385408",
MRreviewer = "H. Werner",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_87.pdf",
ZMnumber = "308.41006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Saff:1975:CPA,
author = "E. B. Saff and R. S. Varga",
title = "Convergence of {Pad{\'e}} approximants to $ e^{-z} $
on unbounded sets",
journal = j-J-APPROX-THEORY,
volume = "13",
number = "4",
pages = "470--488",
month = apr,
year = "1975",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(75)90029-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "30A82 (41A20)",
MRnumber = "402069",
MRreviewer = "G. Meinardus",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_86.pdf",
ZMnumber = "304.65015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Saff:1975:GCR,
author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga",
title = "Geometric convergence to $ e^{-z} $ by rational
functions with real poles",
journal = j-NUM-MATH,
volume = "25",
number = "3",
pages = "307--322",
year = "1975/76",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01399420",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41A20 (65D99)",
MRnumber = "463764",
MRreviewer = "W. Fraser",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Saff:1975:ZPP,
author = "E. B. Saff and R. S. Varga",
title = "On the zeros and poles of {Pad{\'e}} approximants to $
e^z $",
journal = j-NUM-MATH,
volume = "25",
number = "1",
pages = "1--14",
month = mar,
year = "1975",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01419524",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30A08",
MRnumber = "399429",
MRreviewer = "M. Nassif",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See erratum \cite{Saff:1976:EZP}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_88.pdf",
ZMnumber = "322.41010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
B0290P (Differential equations); C4130 (Interpolation
and function approximation); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "function approximation; numerical methods; ordinary
differential equations; Pad{\'e} approximants; poles;
stability; zeros",
}
@Article{Alefeld:1976:KSR,
author = "G. Alefeld and R. S. Varga",
title = "{Zur Konvergenz des symmetrischen
Relaxationsverfahren}. ({German}) [{On the convergence
of the symmetric SOR method}]",
journal = j-NUM-MATH,
volume = "25",
number = "3",
pages = "291--295",
month = sep,
year = "1976",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Jun 02 08:54:53 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_93.pdf",
ZMnumber = "319.65030",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Inst. f{\"u}r Angewandte Math., Univ. of Karlsruhe,
Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence; convergence of numerical methods;
iterative methods; iterative solution; matrix algebra;
matrix equation; symmetric SOR method",
language = "German",
treatment = "T Theoretical or Mathematical",
}
@Book{Carlson:1976:CAD,
editor = "David H. Carlson and Richard S. Varga",
title = "Collection of Articles Dedicated to {Olga Taussky
Todd}",
publisher = "American Elsevier Publishing Co.",
address = "New York, NY, USA",
pages = "iv + 172",
year = "1976",
MRclass = "00A10 (01A70 15-06)",
MRnumber = "0384369",
bibdate = "Fri Mar 23 14:38:44 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Linear Algebra and Appl. {{\bf{1}}3} (1976), no.
1--2.",
URL = "https://ac.els-cdn.com/0024379576900501/1-s2.0-0024379576900501-main.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
remark = "Carlson's paper was initiated at the Gatlinburg VI
Symposium on Numerical Algebra, Hopfen an See, Germany,
15--21 December, 1974.",
subject-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
tableofcontents = "\ldots{} \\
Generalizations of Matrix Monotonicity / David Carlson
/ 125--131 \\
\ldots{}",
}
@InProceedings{Saff:1976:AOR,
author = "E. B. Saff and R. S. Varga",
editor = "A. G. Law and B. N. Sahney",
booktitle = "Theory of approximation, with applications ({Proc.
Conf., Univ. Calgary, Calgary, Alta., 1975; dedicated
to the memory of Eckard Schmidt})",
title = "Angular overconvergence for rational functions
converging geometrically on $ [0, + \infty] $",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "238--256",
year = "1976",
MRclass = "41A20",
MRnumber = "0412682",
MRreviewer = "G. D. Taylor",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_89.pdf",
ZMnumber = "355.41022",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{Saff:1976:BPT,
author = "E. B. Saff and R. S. Varga",
editor = "G. G. Lorentz and C. K. Chui and L. L. Schumaker",
booktitle = "Approximation theory, {II} ({Proc. Internat. Sympos.,
Univ. Texas, Austin, Tex., 1976})",
title = "The behavior of the {Pad{\'e}} table for the
exponential",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "519--531",
year = "1976",
MRclass = "41A20",
MRnumber = "0433090",
MRreviewer = "Michael F. Barnsley",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_99.pdf",
ZMnumber = "352.41014",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Saff:1976:EGC,
author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga",
title = "Errata: ``{Geometric} convergence to $ e^{-z} $ by
rational functions with real poles'' ({Numer. Math.}
{\bf 25} (1975/76), no. 3, 307--322)",
journal = j-NUM-MATH,
volume = "26",
number = "2",
pages = "226--226",
month = jun,
year = "1976",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01395976",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41A05 (65D99)",
MRnumber = "463765",
MRreviewer = "W. Fraser",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Saff:1976:GCRa}.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Saff:1976:EZP,
author = "E. B. Saff and R. S. Varga",
title = "Erratum: ``{On} the zeros and poles of {Pad{\'e}}
approximants to $ e^z $'' ({Numer. Math.} {\bf 25}
(1975/76), no. 1, 1--14)",
journal = j-NUM-MATH,
volume = "26",
number = "2",
pages = "226--226",
month = jun,
year = "1976",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01395975;
https://doi.org/10.1007/BF01395976",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30A82",
MRnumber = "412432",
MRreviewer = "M. Nassif",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Saff:1975:ZPP}.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Saff:1976:GCRa,
author = "E. B. Saff and R. S. Varga and W.-C. C. Ni",
title = "Geometric convergence of rational approximations to $
e^{-z} $ in infinite sectors",
journal = j-NUM-MATH,
volume = "26",
number = "2",
pages = "211--225",
month = jun,
year = "1976",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01395974",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "41A20",
MRnumber = "458009",
MRreviewer = "W. Fraser",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_92.pdf",
ZMnumber = "328.65015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximation theory; geometric convergence; infinite
sectors; Pad{\'e} approximants; rational
approximations",
treatment = "T Theoretical or Mathematical",
}
@Article{Saff:1976:GCRb,
author = "E. B. Saff and A. Sch{\"o}nhage and R. S. Varga",
title = "Geometric convergence to $ e^{-z} $ by rational
functions with real poles",
journal = j-NUM-MATH,
volume = "25",
number = "3",
pages = "307--322",
month = sep,
year = "1976",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See errata \cite{Saff:1976:EGC}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_94.pdf",
ZMnumber = "319.65006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290P (Differential equations); C4170 (Differential
equations)",
corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence of numerical methods; converges
geometrically; differential equations; rational
functions; real poles",
treatment = "T Theoretical or Mathematical",
}
@Article{Saff:1976:GOR,
author = "E. B. Saff and R. S. Varga",
title = "Geometric overconvergence of rational functions in
unbounded domains",
journal = j-PAC-J-MATH,
volume = "62",
number = "2",
pages = "523--549",
year = "1976",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "30A82",
MRnumber = "409835",
MRreviewer = "M. E. Noble",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102867736;
http://www.math.kent.edu/~varga/pub/paper_97.pdf",
ZMnumber = "o335.30028",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Saff:1976:STC,
author = "E. B. Saff and R. S. Varga",
title = "On the sharpness of theorems concerning zero-free
regions for certain sequences of polynomials",
journal = j-NUM-MATH,
volume = "26",
number = "4",
pages = "345--354",
month = dec,
year = "1976",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01409957",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30A08 (65E05)",
MRnumber = "447537",
MRreviewer = "D. A. Brannan",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See erratum \cite{Saff:1977:EST}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_98.pdf",
ZMnumber = "339.26018",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Pad{\'e} approximants; parabolic regions; polynomials;
recurrence relation; sectorial region; sharpness of
theorems; zero free regions",
treatment = "T Theoretical or Mathematical",
}
@Article{Saff:1976:ZFP,
author = "E. B. Saff and R. S. Varga",
title = "Zero-Free Parabolic Regions for Sequences of
Polynomials",
journal = j-SIAM-J-MATH-ANA,
volume = "7",
number = "3",
pages = "344--357",
month = may,
year = "1976",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0507028",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "33A70 (30A82)",
MRnumber = "414968",
MRreviewer = "J. L. Fields",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/7/3;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_91.pdf",
ZMnumber = "332.30001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@Article{Varga:1976:DDA,
author = "Richard S. Varga",
title = "On diagonal dominance arguments for bounding {$
||A^{-1}||_\infty $}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "14",
number = "3",
pages = "211--217",
month = "????",
year = "1976",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(76)90067-7",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A60 (65F35)",
MRnumber = "447297",
MRreviewer = "Ludwig Elsner",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_95.pdf;
http://www.sciencedirect.com/science/article/pii/0024379576900677",
ZMnumber = "341.15002",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
keywords = "la, diagonal dominance, condition",
}
@InProceedings{Varga:1976:MTR,
author = "Richard S. Varga",
editor = "James R. Bunch and Donald J. Rose",
booktitle = "Sparse matrix computations: proceedings of the
{Symposium on Sparse Matrix Computations at Argonne
National Laboratory on September 9--11, 1975}",
title = "{$M$}-matrix theory and recent results in numerical
linear algebra",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xi + 453",
pages = "375--387",
year = "1976",
ISBN = "0-12-141050-1",
ISBN-13 = "978-0-12-141050-6",
LCCN = "QA188",
MRclass = "65F99 (15A57)",
MRnumber = "0483371",
MRreviewer = "D. M. Young, Jr.",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_96.pdf",
ZMnumber = "352.65018",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "Sparse matrix computations {(Proc. Sympos., Argonne
Nat. Lab., Lemont, Ill., 1975)}",
}
@Article{Varga:1976:RTD,
author = "Richard S. Varga",
title = "On recurring theorems on diagonal dominance",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "13",
number = "1--2",
pages = "1--9",
month = "????",
year = "1976",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(76)90037-9",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A09",
MRnumber = "393069",
MRreviewer = "J. de Pillis",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
note = "Collection of articles dedicated to Olga Taussky
Todd",
URL = "http://www.math.kent.edu/~varga/pub/paper_90.pdf;
http://www.sciencedirect.com/science/article/pii/0024379576900379",
ZMnumber = "336.15007",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Engel:1977:MGS,
author = "G. M. Engel and R. S. Varga",
title = "Minimal {Ger{\v{s}}gorin} sets and $ \omega
$-matrices",
journal = j-LIN-AND-MULT-ALGEBRA,
volume = "5",
number = "1",
pages = "1--10",
year = "1977",
CODEN = "LNMLAZ",
DOI = "https://doi.org/10.1080/03081087708817168",
ISSN = "0308-1087 (print), 1563-5139 (electronic)",
ISSN-L = "0308-1087",
MRclass = "15A42",
MRnumber = "450301",
MRreviewer = "B. Levinger",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linmultalgebra.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_104.pdf",
ZMnumber = "387.15005",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear and Multilinear Algebra",
journal-URL = "http://www.tandfonline.com/loi/glma20",
onlinedate = "02 Apr 2008",
}
@Article{Saff:1977:EST,
author = "E. B. Saff and R. S. Varga",
title = "Erratum: {``On the sharpness of theorems concerning
zero-free regions for certain sequences of
polynomials'' (Numer. Math. {\bf 26} (1976), no. 4,
345--354)}",
journal = j-NUM-MATH,
volume = "28",
number = "1",
pages = "119--119",
month = mar,
year = "1977",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01403860",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30A08 (65E05)",
MRnumber = "447538 (56 #5848b)",
MRreviewer = "D. A. Brannan",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See \cite{Saff:1976:STC}.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Saff:1977:NBA,
author = "E. B. Saff and R. S. Varga",
title = "Nonuniqueness of best approximating complex rational
functions",
journal = j-BULL-AMS,
volume = "83",
number = "3",
pages = "375--377",
year = "1977",
CODEN = "BAMOAD",
DOI = "https://doi.org/10.1090/S0002-9904-1977-14276-6",
ISSN = "0002-9904 (print), 1936-881x (electronic)",
ISSN-L = "0002-9904",
MRclass = "41A50 (41A20)",
MRnumber = "433108",
MRreviewer = "Myron S. Henry",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_101.pdf",
ZMnumber = "348.41020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Bulletin of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/bull/all_issues.html",
}
@InProceedings{Saff:1977:SOP,
author = "E. B. Saff and R. S. Varga",
editor = "E. B. Saff and R. S. Varga",
booktitle = "Pad{\'e} and rational approximation {(Proc. Internat.
Sympos., Univ. South Florida, Tampa, Fla., 1976)}",
title = "Some open problems concerning polynomials and rational
functions",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "483--488",
year = "1977",
MRclass = "41A20",
MRnumber = "0473648",
MRreviewer = "J. Szabados",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_103.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{Saff:1977:ZPP,
author = "E. B. Saff and R. S. Varga",
editor = "E. B. Saff and R. S. Varga",
booktitle = "{Pad{\'e}} and rational approximation: theory and
applications: proceedings of an international symposium
held at the {University of South Florida, Tampa,
Florida, December 15--17, 1976}",
title = "On the zeros and poles of {Pad{\'e}} approximants to
$ e^z $. {II}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xiii + 491",
pages = "195--213",
year = "1977",
MRclass = "30A82 (41A20)",
MRnumber = "0492294",
MRreviewer = "A. Meir",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_102.pdf",
ZMnumber = "377.41016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "{Pad{\'e}} and rational approximation {(Proc.
Internat. Sympos., Univ. South Florida, Tampa, Fla.,
1976)}",
}
@Article{Varga:1977:NOQ,
author = "Richard S. Varga",
title = "A note on an open question on $ \omega $- and $ \tau
$-matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "18",
number = "1",
pages = "45--52",
month = "????",
year = "1977",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(77)90078-7",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A24",
MRnumber = "472868",
MRreviewer = "Thomas L. Markham",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_100.pdf;
http://www.sciencedirect.com/science/article/pii/0024379577900787",
ZMnumber = "361.15018",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Berman:1978:MND,
author = "A. Berman and R. S. Varga and R. C. Ward",
title = "{$ {\cal A}{\cal L}{\cal P}{\cal S} $}: matrices with
nonpositive off-diagonal entries",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "21",
number = "3",
pages = "233--244",
year = "1978",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(78)90085-X",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A48",
MRnumber = "506352",
MRreviewer = "V. Pt\'{a}k",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Berman:1978:PMN,
author = "A. Berman and R. S. Varga and R. C. Ward",
title = "{A L P S}: Matrices with nonpositive off-diagonal
entries",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "21",
number = "3",
pages = "233--244",
month = sep,
year = "1978",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(78)90085-X",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Tue Feb 16 18:50:27 MST 2016",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_108.pdf;
http://www.sciencedirect.com/science/article/pii/002437957890085X",
ZMnumber = "401.15018",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Roulier:1978:APC,
author = "John A. Roulier and Richard S. Varga",
title = "Another property of {Chebyshev} polynomials",
journal = j-J-APPROX-THEORY,
volume = "22",
number = "3",
pages = "233--242",
year = "1978",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(78)90055-2",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A10 (41A60)",
MRnumber = "510631",
MRreviewer = "G. Meinardus",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_105.pdf",
ZMnumber = "389.41015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@InCollection{Saff:1978:IP,
author = "E. B. Saff and R. S. Varga",
editor = "????",
booktitle = "{Numerische Methoden der Approximationstheorie, Band 4
(Meeting, Math. Forschungsinst., Oberwolfach, 1977)}",
title = "On incomplete polynomials",
volume = "42",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
pages = "281--298",
year = "1978",
MRclass = "41A10 (65D15)",
MRnumber = "527107 (80d:41008)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Internat. Schriftenreihe Numer. Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_109.pdf",
ZMnumber = "408.41008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Saff:1978:NBC,
author = "E. B. Saff and R. S. Varga",
title = "Nonuniqueness of best complex rational approximations
to real functions on real intervals",
journal = j-J-APPROX-THEORY,
volume = "23",
number = "1",
pages = "78--85",
year = "1978",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(78)90081-3",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A20 (30E10 41A25)",
MRnumber = "499031 (80f:41012)",
MRreviewer = "Myron S. Henry",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_106.pdf",
ZMnumber = "375.41008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Saff:1978:UAI,
author = "E. B. Saff and R. S. Varga",
title = "Uniform approximation by incomplete polynomials",
journal = j-INT-J-MATH-MATH-SCI,
volume = "1",
number = "4",
pages = "407--420",
year = "1978",
CODEN = "????",
DOI = "https://doi.org/10.1155/S0161171278000411",
ISSN = "0161-1712 (print), 1687-0425 (electronic)",
ISSN-L = "0161-1712",
MRclass = "41A10 (41A30)",
MRnumber = "517944 (81a:41016)",
MRreviewer = "John A. Roulier",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_110.pdf",
ZMnumber = "421.41006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "International Journal of Mathematics and Mathematical
Sciences",
journal-URL = "https://www.hindawi.com/journals/ijmms/",
}
@Article{Saff:1978:ZPP,
author = "E. B. Saff and R. S. Varga",
title = "On the zeros and poles of {Pad{\'e}} approximants to $
e^z $. {III}",
journal = j-NUM-MATH,
volume = "30",
number = "3",
pages = "241--266",
month = sep,
year = "1978",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01411842",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30A82 (41A20)",
MRnumber = "492295",
MRreviewer = "A. Meir",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_107.pdf",
ZMnumber = "438.41015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Univ. of South Florida, Tampa, FL,
USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "approximation theory; function approximation;
nonnegative integers; Pad{\'e} approximants; poles and
zeros; Whittaker functions",
treatment = "A Application; T Theoretical or Mathematical",
}
@InProceedings{Varga:1978:RRL,
author = "Ri{\v{c}}ard Varga",
editor = "????",
booktitle = "Numerical methods in linear algebra ({Proc. Third Sem.
Methods of Numer. Appl. Math., Novosibirsk, 1978})
({Russian})",
title = "Recent results in linear algebra and their
applications",
publisher = "Akad. Nauk SSSR Sibirsk. Otdel., Vychisl. Tsentr",
address = "Novosibirsk, USSR",
pages = "5--15",
year = "1978",
MRclass = "65F99",
MRnumber = "569905 (81m:65062)",
MRreviewer = "E. L. Albasiny",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_114.pdf",
ZMnumber = "435.15002",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Anderson:1979:EKT,
author = "N. Anderson and E. B. Saff and R. S. Varga",
title = "On the {Enestr{\"o}m--Kakeya} Theorem and its
Sharpness",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "28",
number = "??",
pages = "5--16",
month = dec,
year = "1979",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(79)90113-7",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "26C10 (15A48)",
MRnumber = "549414 (81i:26011)",
MRreviewer = "Joaquin Bustoz",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1970.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_116.pdf;
http://www.sciencedirect.com/science/article/pii/0024379579901137",
ZMnumber = "423.15007",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
keywords = "la, poly, Perron--Frobenius theory, pert",
}
@InCollection{Buoni:1979:TSR,
author = "John J. Buoni and Richard S. Varga",
editor = "????",
booktitle = "Numerical mathematics = {Numerische Mathematik}:
Symposium on the occasion of the retirement of {Lothar
Collatz at the Institute for Applied Mathematics,
University of Hamburg, January 25--26, 1979}",
title = "Theorems of {Stein--Rosenberg} type",
volume = "49",
publisher = pub-BIRKHAUSER,
address = pub-BIRKHAUSER:adr,
bookpages = "207",
pages = "65--75",
year = "1979",
MRclass = "65F10",
MRnumber = "564086 (83b:65028)",
MRreviewer = "Z. Waksman",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Internat. Ser. Numer. Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_115.pdf",
ZMnumber = "412.65016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "Numerical mathematics ({Sympos., Inst. Appl. Math.,
Univ. Hamburg, Hamburg, 1979})",
}
@InProceedings{Lachance:1979:BIP,
author = "M. Lachance and E. B. Saff and R. S. Varga",
editor = "C. V. Coffman and G. J. Fix",
booktitle = "Constructive approaches to mathematical models:
proceedings of a conference in honor of {R. J. Duffin,
Pittsburgh, PA, 10--14 July, 1978}",
title = "Bounds for incomplete polynomials vanishing at both
endpoints of an interval",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xviii + 458",
pages = "421--437",
year = "1979",
ISBN = "0-12-178150-X",
ISBN-13 = "978-0-12-178150-7",
LCCN = "QA401 .C66",
MRclass = "41A10",
MRnumber = "559510 (81f:41006)",
MRreviewer = "J. Prasad",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_117.pdf",
ZMnumber = "441.41004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "Constructive approaches to mathematical models ({Proc.
Conf. in honor of R. J. Duffin, Pittsburgh, Pa.,
1978})",
}
@Article{Lachance:1979:IPP,
author = "Michael Lachance and Edward B. Saff and Richard S.
Varga",
title = "Inequalities for polynomials with a prescribed zero",
journal = j-MATH-Z,
volume = "168",
number = "2",
pages = "105--116",
year = "1979",
CODEN = "MAZEAX",
DOI = "https://doi.org/10.1007/BF01214190",
ISSN = "0025-5874 (print), 1432-1823 (electronic)",
ISSN-L = "0025-5874",
MRclass = "30C10",
MRnumber = "544699 (80j:30009)",
MRreviewer = "R. Vermes",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_113.pdf",
ZMnumber = "406.30002",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Mathematische Zeitschrift",
journal-URL = "http://link.springer.com/journal/209",
}
@Article{Moak:1979:ZJP,
author = "D. S. Moak and E. B. Saff and R. S. Varga",
title = "On the zeros of {Jacobi} polynomials {$
P_n^{(\alpha_n, \beta_n)}(x) $}",
journal = j-TRANS-AM-MATH-SOC,
volume = "249",
number = "1",
pages = "159--162",
year = "1979",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1998916",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "33A65",
MRnumber = "526315 (80g:33021)",
MRreviewer = "Y. L. Luke",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_111.pdf",
ZMnumber = "414.33009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Saff:1979:SLT,
author = "E. B. Saff and R. S. Varga",
title = "The sharpness of {Lorentz}'s theorem on incomplete
polynomials",
journal = j-TRANS-AM-MATH-SOC,
volume = "249",
number = "1",
pages = "163--186",
year = "1979",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1998917",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "41A25 (33A65 41A60)",
MRnumber = "526316 (81b:41048)",
MRreviewer = "Toshihiko Nishishiraho",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "See corrigendum \cite{}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_112.pdf",
ZMnumber = "414.41009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Cavaretta:1980:HBI,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
title = "{Hermite--Birkhoff} interpolation in the $n$-th roots
of unity",
journal = j-TRANS-AM-MATH-SOC,
volume = "259",
number = "2",
pages = "621--628",
year = "1980",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/1998252",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "30E05",
MRnumber = "567101 (81c:30064)",
MRreviewer = "Jean Tzimbalario",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_118.pdf",
ZMnumber = "431.41001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Cavaretta:1980:IRU,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
title = "Interpolation in the roots of unity: an extension of a
theorem of {J. L. Walsh}",
journal = j-RESULTS-MATH,
volume = "3",
number = "2",
pages = "155--191",
year = "1980",
DOI = "https://doi.org/10.1007/bf03323355",
ISSN = "0378-6218",
ISSN-L = "0378-6218",
MRclass = "30E05 (30E10 41A05)",
MRnumber = "600999 (82j:30049)",
MRreviewer = "R. Vermes",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_124.pdf",
ZMnumber = "447.30020",
acknowledgement = ack-nhfb,
ajournal = "Results Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Results in Mathematics. Resultate der Mathematik",
journal-URL = "https://www.springer.com/journal/25",
}
@InProceedings{Cavaretta:1980:LTI,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
editor = "R. A. DeVore and K. Scherer",
booktitle = "Quantitative approximation ({Proc. Internat. Sympos.,
Bonn, 1979})",
title = "Lacunary trigonometric interpolation on equidistant
nodes",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "63--80",
year = "1980",
MRclass = "42A15 (42A55 65D10)",
MRnumber = "588171 (81k:42004)",
MRreviewer = "H. Burkill",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_120.pdf",
ZMnumber = "496.42001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InProceedings{deBruin:1980:TCZ,
author = "M. G. de Bruin and E. B. Saff and R. S. Varga",
editor = "E. W. Cheney",
booktitle = "Approximation theory, {III} ({Proc. Conf., Univ.
Texas, Austin, Tex., 1980})",
title = "On two conjectures on the zeros of generalized
{Bessel} polynomials",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "261--266",
year = "1980",
MRclass = "33A65",
MRnumber = "602725 (82c:33018)",
MRreviewer = "J. P. Singhal",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_121.pdf",
ZMnumber = "477.33006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Neumann:1980:SSU,
author = "Michael Neumann and Richard S. Varga",
title = "On the sharpness of some upper bounds for the spectral
radii of {S.O.R.} iteration matrices",
journal = j-NUM-MATH,
volume = "35",
number = "1",
pages = "69--79",
month = mar,
year = "1980",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01396371",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "583657 (81k:65037)",
MRreviewer = "Zden{\v{e}}k Dost{\'a}l",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_119.pdf",
ZMnumber = "453.65021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C4140 (Linear algebra)",
corpsource = "Dept. of Math., Univ. of Nottingham, Nottingham, UK",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "convergence of numerical methods; H matrix; iteration
matrix spectral radius; matrix algebra; successive
overrelaxation; upper bounds sharpness",
treatment = "A Application; T Theoretical or Mathematical",
}
@InProceedings{Saff:1980:IPE,
author = "E. B. Saff and J. L. Ullman and R. S. Varga",
editor = "E. W. (Elliott Ward) Cheney",
booktitle = "Approximation theory {III}: proceedings of a
conference honoring {Professor George G. Lorentz, held
at the University of Texas at Austin, January 8--12,
1980}",
title = "Incomplete polynomials: an electrostatics approach",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xxiii + 944",
pages = "769--782",
year = "1980",
LCCN = "QA297.5 .A67",
MRclass = "41A10",
MRnumber = "602801 (82h:41009)",
MRreviewer = "Manfred v. Golitschek",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_122.pdf",
ZMnumber = "479.41016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "Approximation theory, {III} ({Proc. Conf., Univ.
Texas, Austin, Tex., 1980})",
}
@Article{Saff:1980:RSC,
author = "E. B. Saff and R. S. Varga",
title = "Remarks on some conjectures of {G. G. Lorentz}",
journal = j-J-APPROX-THEORY,
volume = "30",
number = "1",
pages = "29--36",
month = sep,
year = "1980",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(80)90022-2",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "41A50 (41A10)",
MRnumber = "603356 (82e:41040)",
MRreviewer = "A. Sharma",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_126.pdf",
ZMnumber = "454.41006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Varga:1980:IFM,
author = "R. S. Varga and E. B. Saff and V. Mehrmann",
title = "Incomplete factorizations of matrices and connections
with {$H$}-matrices",
journal = j-SIAM-J-NUMER-ANAL,
volume = "17",
number = "6",
pages = "787--793",
month = dec,
year = "1980",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0717066",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F05",
MRnumber = "595444 (83g:65038)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_123.pdf",
ZMnumber = "477.65020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Anderson:1981:EEK,
author = "N. Anderson and E. B. Saff and R. S. Varga",
title = "An extension of the {Enestr{\"o}m--Kakeya} theorem and
its sharpness",
journal = j-SIAM-J-MATH-ANA,
volume = "12",
number = "1",
pages = "10--22",
month = jan,
year = "1981",
CODEN = "SJMAAH",
DOI = "https://doi.org/10.1137/0512002",
ISSN = "0036-1410 (print), 1095-7154 (electronic)",
ISSN-L = "0036-1410",
MRclass = "30C15 (90C05)",
MRnumber = "603414 (82b:30007)",
MRreviewer = "M. Marden",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/12/1;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_125.pdf",
ZMnumber = "455.30006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Mathematical Analysis",
journal-URL = "http://epubs.siam.org/sima",
}
@InProceedings{Buoni:1981:TSR,
author = "John J. Buoni and Richard S. Varga",
editor = "Martin H. Schultz",
booktitle = "Elliptic Problem Solvers",
title = "Theorems of {Stein--Rosenberg} type. {II}. {Optimal}
paths of relaxation in the complex plane",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "231--240",
year = "1981",
MRnumber = "83c:65003",
bibdate = "Sat Apr 23 06:23:02 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_131.pdf",
ZMnumber = "487.65016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{deBruin:1981:ZGBa,
author = "M. G. de Bruin and E. B. Saff and R. S. Varga",
title = "On the zeros of generalized {Bessel} polynomials. {I},
{II}",
journal = "Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae",
volume = "43",
number = "1",
pages = "1--13",
day = "20",
month = mar,
year = "1981",
ISSN = "0019-3577, 0023-3358",
ISSN-L = "0023-3358",
MRclass = "33A40 (41A21)",
MRnumber = "609463 (82d:33015)",
MRreviewer = "M. E. Muldoon",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_127.pdf",
ZMnumber = "467.33003",
acknowledgement = ack-nhfb,
ajournal = "Nederl. Akad. Wetensch. Indag. Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae",
journal-URL = "https://www.sciencedirect.com/journal/indagationes-mathematicae/issues",
}
@Article{deBruin:1981:ZGBb,
author = "M. G. de Bruin and E. B. Saff and R. S. Varga",
title = "On the zeros of generalized {Bessel} polynomials. {I},
{II}",
journal = "Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae",
volume = "43",
number = "1",
pages = "14--25",
day = "20",
month = mar,
year = "1981",
ISSN = "0019-3577, 0023-3358",
ISSN-L = "0023-3358",
MRclass = "33A40 (41A21)",
MRnumber = "609463 (82d:33015)",
MRreviewer = "M. E. Muldoon",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_128.pdf",
ZMnumber = "467.33004",
acknowledgement = ack-nhfb,
ajournal = "Nederl. Akad. Wetensch. Indag. Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Koninklijke Nederlandse Akademie van Wetenschappen.
Indagationes Mathematicae",
}
@Article{Loughry:1981:BCD,
author = "C. W. Loughry and D. B. Sheffer and R. H. Hamor and R.
E. Herron and R. A. Liebelt and F. Proietti-Orlandi and
R. S. Varga",
title = "Breast cancer detection utilizing biostereometric
analysis",
journal = "Cancer Detection and Prevention",
volume = "4",
number = "??",
pages = "589--594",
month = "????",
year = "1981",
CODEN = "CDPRD4",
ISSN = "0361-090X (print), 1873-443X (electronic)",
ISSN-L = "0361-090X",
bibdate = "Sat Apr 23 06:28:27 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_136.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
journal-URL = "https://www.sciencedirect.com/journal/cancer-detection-and-prevention/issues",
}
@Article{Saff:1981:ERF,
author = "E. B. Saff and A. Sharma and R. S. Varga",
title = "An extension to rational functions of a theorem of {J.
L. Walsh} on differences of interpolating polynomials",
journal = "RAIRO Analyse num{\'e}rique\slash Numerical Analysis",
volume = "15",
number = "4",
pages = "371--390",
year = "1981",
ISSN = "0399-0516",
ISSN-L = "0399-0516",
MRclass = "30E10 (41A21)",
MRnumber = "642498 (83i:3005)",
MRreviewer = "Guillermo L\'{o}pez Lagomasino",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_133.pdf",
ZMnumber = "485.41003",
acknowledgement = ack-nhfb,
ajournal = "RAIRO Anal. num{\'e}r.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "RAIRO Analyse Num{\'e}rique",
}
@Article{Saff:1981:IPI,
author = "E. B. Saff and R. S. Varga",
title = "On incomplete polynomials. {II}",
journal = j-PAC-J-MATH,
volume = "92",
number = "1",
pages = "161--172",
year = "1981",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "41A10 (65K10)",
MRnumber = "618054 (83h:41005)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102737508;
http://www.math.kent.edu/~varga/pub/paper_129.pdf",
ZMnumber = "458.41003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Saff:1981:LIP,
author = "Edward B. Saff and Richard S. Varga",
title = "On lacunary incomplete polynomials",
journal = j-MATH-Z,
volume = "177",
number = "3",
pages = "297--314",
year = "1981",
CODEN = "MAZEAX",
DOI = "https://doi.org/10.1007/BF01162064",
ISSN = "0025-5874 (print), 1432-1823 (electronic)",
ISSN-L = "0025-5874",
MRclass = "41A10 (41A29)",
MRnumber = "618197 (83a:41008)",
MRreviewer = "Myron S. Henry",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_130.pdf",
ZMnumber = ".42008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Mathematische Zeitschrift",
journal-URL = "http://link.springer.com/journal/209",
}
@Article{Varga:1981:FM,
author = "Richard S. Varga and Da Yong Cai",
title = "On the {$ L U $} Factorization of {$M$}-Matrices",
journal = j-NUM-MATH,
volume = "38",
number = "2",
pages = "179--192",
month = dec,
year = "1981",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01397088",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "15A23 (65F05)",
MRnumber = "638443 (83d:15008)",
MRreviewer = "Thomas L. Markham",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_132.pdf",
ZMnumber = "477.65021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0250 (Combinatorial mathematics); B0290B (Error
analysis in numerical methods); C1160 (Combinatorial
mathematics); C4140 (Linear algebra)",
corpsource = "Inst. for Computational Math., Kent State Univ., Kent,
OH, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "graph theory; lower triangular M-matrix; LU
factorization; M-matrices; matrix algebra; numerical
methods; upper triangular M- matrix",
treatment = "A Application; T Theoretical or Mathematical",
}
@Article{Buoni:1982:TSR,
author = "John J. Buoni and Michael Neumann and Richard S.
Varga",
title = "Theorems of {Stein--Rosenberg} type. {III}. {The}
singular case",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "42",
number = "??",
pages = "183--198",
month = feb,
year = "1982",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(82)90148-3",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F10",
MRnumber = "656424 (84m:65046)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_134.pdf;
http://www.sciencedirect.com/science/article/pii/0024379582901483",
ZMnumber = "487.65017",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Szabados:1982:OCI,
author = "J. Szabados and R. S. Varga",
title = "On the overconvergence of complex interpolating
polynomials",
journal = j-J-APPROX-THEORY,
volume = "36",
number = "4",
pages = "346--363",
year = "1982",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/0021-9045(82)90054-5",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "30E05",
MRnumber = "682177 (84c:30056)",
MRreviewer = "Jean Tzimbalario",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_137.pdf",
ZMnumber = "524.41001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Article{Varga:1982:FMC,
author = "R. S. Varga and D. Y. Cai",
title = "On the {$ L U $} factorization of {$M$}-matrices:
cardinality of the set {$ {\cal P}^g_n(A)$}",
journal = j-SIAM-J-ALG-DISC-METH,
volume = "3",
number = "2",
pages = "250--259",
year = "1982",
CODEN = "SJAMDU",
DOI = "https://doi.org/10.1137/0603024",
ISSN = "0196-5212 (print), 2168-345X (electronic)",
ISSN-L = "0196-5212",
MRclass = "15A23 (15A48)",
MRnumber = "655565 (83i:15018)",
MRreviewer = "Thomas L. Markham",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjalgdiscmeth.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_135.pdf",
ZMnumber = "504.15004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Algebraic and Discrete Methods",
journal-URL = "http://epubs.siam.org/loi/sjamdu",
}
@Book{Varga:1982:TPR,
author = "Richard S. Varga",
title = "Topics in Polynomial and Rational Interpolation and
Approximation",
volume = "81",
publisher = "Presses de l'Universit{\'e} de Montr{\'e}al",
address = "Montr{\'e}al, Qu{\'e}bec, Canada",
pages = "136",
year = "1982",
ISBN = "2-7606-0573-6",
ISBN-13 = "978-2-7606-0573-2",
MRclass = "30E05 (30E10 41-02 65D05 65E05)",
MRnumber = "654329 (83h:30041)",
MRreviewer = "Charles K. Chui",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "S{\'e}minaire de Math{\'e}matiques Sup{\'e}rieures
[Seminar on Higher Mathematics]",
ZMnumber = "484.30023",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
tableofcontents = "1: Zeros and Poles of Pad{\'e}! Approximations To
$e^z$, and Zeros of Generalized Bessel Polynomials / 11
\\
2: The Saff--Varga Width Conjecture and the
Mittag-Leffler Functions / 36 \\
3: The Engstr{\"o}m--Kakeya Theorem and Its Sharpness /
55 \\
4: Extensions of a Theorem of J. L. Walsh On the
Overconvergence of Differences of Interpolating
Polynomials / 69 \\
5: Best Complex vs. Real Rational Approximation / 94
\\
6: The Lorentz Conjectures on Odd and Even Functions /
109 \\
7: The Whittaker Conjecture and the ``1/9'' Conjecture
/ 120",
}
@Article{Edrei:1983:CE,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Crude estimates for {$ |U_m(w)| $} and {$ |Q_m(w)|
$}",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "63--69",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070483",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070483/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:CPS,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "The circular portion of the {Szeg{\H{o}}} curve (Proof
of Theorem 3)",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "77--79",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070487",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070487/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:DE,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "A differential equation",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "53--60",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070480",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070480/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:DON,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Discussion of our numerical results",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "26--40",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070475",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070475/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:E,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Estimates for {$ G_m (w) $} and {$ Q_m(w) $}",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "49--52",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070479",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070479/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:ENC,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Estimates for {$ J_m (w) $} near the circumference $
|w| = 1 $",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "60--62",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070481",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070481/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:EUS,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Existence and uniqueness of the {Szeg{\H{o}}} curve",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "62--63",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070482",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070482",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:FAF,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "The functions {$ U_m(w) $}, {$ Q_m(w) $}, {$ G_m(w) $}
associated with $ \pounds $-functions of genus zero",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "92--94",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070492",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070492/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
xxnote = "Check garbled math in title??",
}
@Article{Edrei:1983:FGZ,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "$ \pounds $-functions of genus zero are admissible in
the sense of {Hayman}",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "91--92",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070491",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070491",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:I,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Introduction",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "1--7",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070473",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070473/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:NC,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Notational conventions",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "43--44",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070477",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070477",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:OM,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Outline of the method",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "41--43",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070476",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070476/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PFP,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Properties of $ \pounds $-functions; proof of
assertion {I} of Theorem 7",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "87--91",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070490",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070490/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PML,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Properties of the {Mittag-Leffler} function of order $
1 < \lambda < \infty $",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "44--49",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070478",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070478/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PTa,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Proof of Theorem 5",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "70--70",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070484",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070484",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PTb,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Proof of Theorem 1",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "70--72",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070485",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070485/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PTc,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Proof of Theorem 2",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "72--77",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070486",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070486/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PTd,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Proof of Theorem 4",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "80--82",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070488",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070488/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:PTe,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Proof of Theorem 6",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "82--87",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070489",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070489/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Edrei:1983:SOR,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Statements of our results",
journal = j-LECT-NOTES-MATH,
volume = "1002",
pages = "7--25",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070474",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
bibdate = "Fri May 9 19:07:07 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
URL = "http://link.springer.com/chapter/10.1007/BFb0070474/",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0070472",
book-URL = "http://www.springerlink.com/content/978-3-540-40040-0",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Book{Edrei:1983:ZSP,
author = "Albert Edrei and Edward B. Saff and Richard S. Varga",
title = "Zeros of Sections of Power Series",
volume = "1002",
publisher = pub-SV,
address = pub-SV:adr,
pages = "viii + 115",
year = "1983",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0070472",
ISBN = "3-540-12318-0 (print), 3-540-40040-0 (e-book)",
ISBN-13 = "978-3-540-12318-7 (print), 978-3-540-40040-0
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1002",
MRclass = "30B10 (30-01; 30C15; 30D20); 30C15 (30D20)",
MRnumber = "711569 (85g:30007)",
MRreviewer = "Walter Hengartner",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
series = ser-LNM,
URL = "http://link.springer.com/book/10.1007/BFb0070472;
http://www.springerlink.com/content/978-3-540-40040-0",
ZMnumber = "0507.30001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
series-URL = "http://link.springer.com/bookseries/304",
tableofcontents = "1: Introduction / 1 \\
2: Statements of our results / 7\\
3: Discussion of our numerical results / 26 \\
4: Outline of the method / 41 \\
5: Notational conventions // 43 \\
6: Properties of the Mittag-Leffler function of order
$1 < \lambda < \infty$ / 44 \\
7: Estimates for $G_m(w)$ and $Q_m(w)$ / 49 \\
8: A differential equation / 53 \\
9: Estimates for $J_m(w)$ near the circumference $|w| =
1$ / 60 \\
10. Existence and unigueness of the Szeg{\H{o}} curve /
62 \\
11. Crude estimates for $|U_m(w)|$ and $| Q_m(w) |$ /
63 \\
12. Proof of Theorem 5 / 70 \\
13. Proof of Theorem 1 / 70 \\
14. Proof of Theorem 2 / 72 \\
15. The circular portion of the Szegb curve (Proof of
Theorem 3) / 77 \\
16. Proof of Theorem 4 / 80 \\
17. Proof of Theorem 6 / 82 \\
18. Properties of L-functions; proof of assertion I of
Theorem 7 / 87 \\
19. {$\cal L$}-functions of genus zero are admissible
in the sense of Hayman / 91 \\
20. The functions $U_m(w)$, $Q_m(w)$, $G_m(w)$
associated with {$\cal H$}-functions of genus zero / 92
\\
21. Estimates for $U_m(w)$ / 95 \\
22. Determination of $\lim \Omega_m(\zeta)$ / 99 \\
23. Comparison with integrals; proof of assertion II of
Theorem 7 / 101 \\
24. The Szeg{\H{o}} curves for {$\cal L$}-functions of
genus zero / 103 \\
25. Estimates for $U_m(\sigma_m e^{i \phi} w)$ / 106
\\
26. Proof of assertion IV of Theorem 7 / 108 \\
References / 109 \\
Index of Ad-Hoc Definitions and Notations / 113 \
General Index / 114",
}
@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",
DOI = "https://doi.org/10.1137/0720087",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32",
MRnumber = "723834 (85j:65010)",
MRreviewer = "I. P. Mysovskikh",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_141.pdf",
ZMnumber = "545.41040",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Niethammer:1983:ASI,
author = "W. Niethammer and R. S. Varga",
title = "The analysis of $k$-step iterative methods for linear
systems from summability theory",
journal = j-NUM-MATH,
volume = "41",
number = "2",
pages = "177--206",
month = jun,
year = "1983",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01390212",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10 (40G05)",
MRnumber = "703121 (85a:65059)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_138.pdf",
ZMnumber = "509.65016",
acknowledgement = ack-nhfb,
annote = "Cited in \cite{govl:89}.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290H (Linear algebra); C4140 (Linear algebra)",
corpsource = "Inst. f{\"u}r Praktische Math., Univ. Karlsruhe,
Karlsruhe, West Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "iter; iterative methods; linear algebra; linear
system; linear systems; nla; summability theory; theory
of Euler methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Saff:1983:NSJ,
author = "E. B. Saff and R. S. Varga",
title = "A note on the sharpness of {J. L. Walsh}'s theorem and
its extensions for interpolation in the roots of
unity",
journal = "Acta Mathematica Hungarica",
volume = "41",
number = "3--4",
pages = "371--377",
month = sep,
year = "1983",
DOI = "https://doi.org/10.1007/BF01961323",
ISSN = "0236-5294",
ISSN-L = "0001-5954",
MRclass = "30E05",
MRnumber = "703748 (85g:30064)",
MRreviewer = "T. J. Rivlin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_140.pdf",
ZMnumber = "524.30026",
acknowledgement = ack-nhfb,
ajournal = "Acta Math. Hungar.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Acta Mathematica Hungarica",
journal-URL = "https://www.springer.com/journal/10474",
}
@Article{Szabados:1983:OCI,
author = "J. Szabados and R. S. Varga",
title = "On the overconvergence of complex interpolating
polynomials. {II}. {Domain} of geometric convergence to
zero",
journal = j-ACTA-SCI-MATH-SZEGED,
volume = "45",
number = "1-4",
pages = "377--380",
year = "1983",
ISSN = "0001-6969 (print), 2064-8316 (electronic)",
ISSN-L = "0001-6969",
MRclass = "30B30 (30E05)",
MRnumber = "708804 (86a:30003)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_139.pdf",
ZMnumber = "532.30003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Acta Universitatis Szegediensis. Acta Scientiarum
Mathematicarum",
journal-URL = "http://acta.fyx.hu/acta/",
}
@InCollection{Carpenter:1984:ENC,
author = "A. J. Carpenter and A. Ruttan and R. S. Varga",
editor = "P. R. Graves-Morris and E. B. Saff and R. S. Varga",
booktitle = "Rational approximation and interpolation ({Tampa},
{Fla}., 1983)",
title = "Extended numerical computations on the ``$ 1 / 9 $''
conjecture in rational approximation theory",
volume = "1105",
publisher = pub-SV,
address = pub-SV:adr,
pages = "383--411",
year = "1984",
DOI = "https://doi.org/10.1007/BFb0072427",
MRclass = "65D20 (41A20)",
MRnumber = "783289 (86d:41102)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Lecture Notes in Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_148.pdf",
ZMnumber = "553.41022",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Csordas:1984:CRS,
author = "George Csordas and Richard S. Varga",
title = "Comparisons of regular splittings of matrices",
journal = j-NUM-MATH,
volume = "44",
number = "1",
pages = "23--35",
month = jun,
year = "1984",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01389752",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "745083 (85g:65043)",
MRreviewer = "Derek S. Henderson",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_146.pdf",
ZMnumber = "556.65024",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0210 (Algebra); C1110 (Algebra)",
corpsource = "Inst. for Computational Maths., Kent State Univ.,
Kent, OH, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "matrices; matrix algebra; regular splittings",
treatment = "T Theoretical or Mathematical",
}
@Article{Elsner:1984:P,
author = "L. Elsner and W. Niethammer and R. S. Varga",
title = "Preface",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "58",
number = "??",
pages = "1--1",
month = apr,
year = "1984",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(84)90199-X",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Nov 30 13:49:25 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.sciencedirect.com/science/article/pii/002437958490199X",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Neumaier:1984:ECD,
author = "A. Neumaier and R. S. Varga",
title = "Exact convergence and divergence domains for the
symmetric successive overrelaxation iterative ({SSOR})
method applied to {$H$}-matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "58",
number = "??",
pages = "261--272",
month = apr,
year = "1984",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(84)90216-7",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F10",
MRnumber = "739291 (86h:65045)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_142.pdf;
http://www.sciencedirect.com/science/article/pii/0024379584902167",
ZMnumber = "569.65021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Niethammer:1984:CBI,
author = "W. Niethammer and J. de Pillis and R. S. Varga",
title = "Convergence of Block Iterative Methods Applied to
Sparse Least-squares Problems",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "58",
number = "??",
pages = "327--341",
month = apr,
year = "1984",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(84)90218-0",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F10 (65F20)",
MRnumber = "739293 (85e:65014)",
MRreviewer = "E. R. Hansen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "/usr/local/src/bib/bibliography/Theory/Matrix.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_143.pdf;
http://www.sciencedirect.com/science/article/pii/0024379584902180",
ZMnumber = "565.65019",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
keywords = "nla, iter, lsq, sparse",
}
@Article{Ruscheweyh:1984:MMN,
author = "S. Ruscheweyh and R. S. Varga",
editor = "P. R. Graves-Morris and E. B. Saff and R. S. Varga",
booktitle = "Rational approximation and interpolation ({Tampa},
{Fla}., 1983)",
title = "On the minimum moduli of normalized polynomials",
journal = j-LECT-NOTES-MATH,
volume = "1105",
pages = "150--159",
year = "1984",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0072408",
ISBN = "3-540-13899-4 (print), 3-540-39113-4 (e-book)",
ISBN-13 = "978-3-540-13899-0 (print), 978-3-540-39113-5
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "30C10 (30E10)",
MRnumber = "783270 (86e:30007)",
MRreviewer = "N. K. Govil",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
series = "Lecture Notes in Math.",
URL = "http://link.springer.com/chapter/10.1007/BFb0072408/;
http://www.math.kent.edu/~varga/pub/paper_147.pdf",
ZMnumber = "582.41010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0072395",
book-URL = "http://www.springerlink.com/content/978-3-540-39113-5",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Varga:1984:CMS,
author = "R. S. Varga and W. Niethammer and D.-Y. Cai",
title = "$p$-cyclic matrices and the symmetric successive
overrelaxation method",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "58",
number = "??",
pages = "425--439",
month = apr,
year = "1984",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(84)90223-4",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F15",
MRnumber = "739298 (86c:65038)",
MRreviewer = "C. Ilioi",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_144.pdf;
http://www.sciencedirect.com/science/article/pii/0024379584902234",
ZMnumber = "596.65022",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@InCollection{Varga:1984:SRR,
author = "Richard S. Varga",
title = "A survey of recent results on iterative methods for
solving large sparse linear systems",
crossref = "Birkhoff:1984:EPS",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "197--217",
year = "1984",
MRclass = "65F50",
MRnumber = "764234 (85g:65007)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_145.pdf",
ZMnumber = "569.65023",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Cavaretta:1985:CRW,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
title = "Converse results in the {Walsh} theory of
overconvergence",
journal = j-MATH-MODEL-NUM-ANA,
volume = "19",
number = "4",
pages = "601--609",
year = "1985",
CODEN = "RMMAEV",
DOI = "https://doi.org/10.1051/m2an/1985190406011",
ISSN = "0764-583x (print), 1290-3841 (electronic)",
ISSN-L = "0764-583X",
MRclass = "30B30 (30E05 41A05)",
MRnumber = "826226 (87g:30001)",
MRreviewer = "D. C. Russell",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_153.pdf",
ZMnumber = "578.41003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "RAIRO Mod{\'e}lisation Math{\'e}matique et Analyse
Num{\'e}rique",
journal-URL = "http://journals.cambridge.org/action/displayJournal?jid=MZA",
}
@Article{Cavaretta:1985:TJW,
author = "A. S. {Cavaretta, Jr.} and A. Sharma and R. S. Varga",
title = "A theorem of {J. L. Walsh}, revisited",
journal = j-PAC-J-MATH,
volume = "118",
number = "2",
pages = "313--322",
year = "1985",
CODEN = "PJMAAI",
ISSN = "0030-8730 (print), 1945-5844 (electronic)",
ISSN-L = "0030-8730",
MRclass = "30E05",
MRnumber = "789173 (86m:30039)",
MRreviewer = "T. J. Rivlin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://projecteuclid.org/euclid.pjm/1102706441;
http://www.math.kent.edu/~varga/pub/paper_149.pdf",
ZMnumber = "575.30034",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Pacific Journal of Mathematics",
journal-URL = "http://msp.org/pjm",
}
@Article{Eiermann:1985:SSI,
author = "M. Eiermann and W. Niethammer and R. S. Varga",
title = "A study of semi-iterative methods for nonsymmetric
systems of linear equations",
journal = j-NUM-MATH,
volume = "47",
number = "4",
pages = "505--533",
year = "1985",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01389454",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "812617",
MRreviewer = "R. J. Plemmons",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Eiermann:1985:SSM,
author = "M. Eiermann and W. Niethammer and R. S. Varga",
title = "A study of semiiterative methods for nonsymmetric
systems of linear equations",
journal = j-NUM-MATH,
volume = "47",
number = "4",
pages = "505--533",
month = dec,
year = "1985",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "87d:65034",
MRreviewer = "R. J. Plemmons",
bibdate = "Mon May 26 11:49:34 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_152.pdf",
ZMnumber = "585.65025",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. f{\"u}r Praktische Math., Karlsruhe Univ., West
Germany",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "eigenvalues; eigenvalues and eigenfunctions; Euler
methods; function theory; generalized Faber
polynomials; iterative methods; linear equations;
nonsymmetric systems; one-step iteration; polynomials;
semiiterative methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Varga:1985:BCA,
author = "Richard S. Varga and Amos J. Carpenter",
title = "On the {Bernstein} conjecture in approximation
theory",
journal = j-CONST-APPROX,
volume = "1",
number = "4",
pages = "333--348",
year = "1985",
DOI = "https://doi.org/10.1007/BF01890040",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "41A25 (41A10 41A50)",
MRnumber = "891763 (87g:41066, 88f:41030)",
MRreviewer = "M. Lachance",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_150.pdf",
ZMnumber = "648.41013",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Varga:1985:ROG,
author = "Richard S. Varga and Wen Da Wu",
title = "On the rate of overconvergence of the generalized
{Enestr{\"o}m--Kakeya} functional for polynomials",
journal = j-J-COMP-MATH,
volume = "3",
number = "3",
pages = "275--288",
year = "1985",
CODEN = "JCMMEB",
ISSN = "0254-9409 (print), 1991-7139 (electronic)",
ISSN-L = "0254-9409",
MRclass = "30C15 (65H05)",
MRnumber = "854368 (88b:30011)",
MRreviewer = "D. A. Brannan",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_151.pdf",
ZMnumber = "615.30004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Computational Mathematics. An International
Journal on Numerical Methods, Analysis and
Applications",
}
@Article{Csordas:1986:RHT,
author = "George Csordas and Timothy S. Norfolk and Richard S.
Varga",
title = "The {Riemann} hypothesis and the {Tur{\'a}n}
inequalities",
journal = j-TRANS-AM-MATH-SOC,
volume = "296",
number = "2",
pages = "521--541",
year = "1986",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2000378",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "11M26 (11N30 30D10 30D15)",
MRnumber = "846596 (87i:11109)",
MRreviewer = "C. Ryavec",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_157.pdf",
ZMnumber = "602.30030",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Gutknecht:1986:SIM,
author = "M. H. Gutknecht and W. Niethammer and R. S. Varga",
title = "$k$-step iterative methods for solving nonlinear
systems of equations",
journal = j-NUM-MATH,
volume = "48",
number = "6",
pages = "699--712",
month = jun,
year = "1986",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01399689",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65H10 (65F10 90C30)",
MRnumber = "842411 (87j:65058)",
MRreviewer = "Eugene Allgower",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_156.pdf",
ZMnumber = "597.65047",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C4130 (Interpolation and function approximation)",
corpsource = "Seminar f{\"u}r Angewandte Math., ETH Zurich,
Switzerland",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "cyclic mappings; iterative methods; k-step iterative
methods; nonlinear systems",
treatment = "P Practical",
}
@Article{Ruscheweyh:1986:MMN,
author = "Stephan Ruscheweyh and Richard S. Varga",
title = "On the minimum moduli of normalized polynomials with
two prescribed values",
journal = j-CONST-APPROX,
volume = "2",
number = "4",
pages = "349--368",
year = "1986",
DOI = "https://doi.org/10.1007/BF01893437",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "30C10",
MRnumber = "892161 (88e:30016)",
MRreviewer = "M. Marden",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_158.pdf",
ZMnumber = "602.30008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Sheffer:1986:VRB,
author = "D. B. Sheffer and T. E. Price and C. W. Loughry and B.
L. Bolyard and W. M. Morek and R. S. Varga",
title = "Validity and reliability of biostereometric
measurement of the female breast",
journal = j-ANN-BIOMED-ENG,
volume = "14",
number = "1",
pages = "1--14",
month = jan,
year = "1986",
CODEN = "ABMECF",
DOI = "https://doi.org/10.1007/BF02364645",
ISSN = "0090-6964 (print), 1573-9686 (electronic)",
ISSN-L = "0090-6964",
bibdate = "Sat Apr 23 06:48:24 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_155.pdf",
acknowledgement = ack-nhfb,
ajournal = "Ann. Biomed. Eng.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Annals of Biomedical Engineering",
journal-URL = "https://link.springer.com/journal/10439/volumes-and-issues",
}
@Article{Varga:1986:CBA,
author = "R. S. Varga and A. Dzh. Karpenter",
title = "A conjecture of {S. Bernstein} in approximation
theory",
journal = "Matematicheski{\u\i} Sbornik. Novaya Seriya",
volume = "129(171)",
number = "4",
pages = "535--548, 591--592",
year = "1986",
DOI = "https://doi.org/10.1070/SM1987v057n02ABEH003086",
ISSN = "0368-8666",
ISSN-L = "0368-8666",
MRclass = "41A50 (41A25)",
MRnumber = "842399",
MRreviewer = "Z. Rubinstein",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
ajournal = "Mat. Sb. (N.S.)",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Matematicheski\u{\i} Sbornik. Novaya Seriya",
journal-URL = "https://iopscience.iop.org/journal/0025-5734",
}
@Article{Varga:1986:OOG,
author = "R. S. Varga and A. J. Carpenter",
title = "Ob odnoi gipoteze {S. Bernsteina} v teorii
priblizhenii. ({Russian}) [{On} one conjecture of {S.
Bernstein} in approximation theory]",
journal = j-MAT-SB,
volume = "129",
number = "4",
pages = "535--548",
month = "????",
year = "1986",
ISSN = "1064-5616 (print), 1468-4802 (electronic)",
ISSN-L = "1064-5616",
MRnumber = "87g:41066",
bibdate = "Sat Apr 23 06:41:48 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_154.pdf",
ZMnumber = "661.41005",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Matematicheskii sbornik",
journal-URL = "http://iopscience.iop.org/1064-5616",
remark = "English translation in \cite{Varga:1987:OHB}.",
}
@InProceedings{Varga:1986:SCS,
author = "Richard S. Varga",
editor = "Charles K. (Kam-tai) Chui and Larry L. Shumaker and
Joseph D. Ward",
booktitle = "Approximation theory, {V} ({College Station, Texas,
1986})",
title = "Scientific Computation on Some Mathematical
Conjectures",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xviii + 654",
pages = "191--209",
year = "1986",
ISBN = "0-12-174581-3 (hardcover)",
ISBN-13 = "978-0-12-174581-3 (hardcover)",
LCCN = "QA221 .I56 1986",
MRclass = "41-01 (30-01)",
MRnumber = "903687 (88j:41002)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_159.pdf",
ZMnumber = "612.41012",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Eiermann:1987:ING,
author = "M. Eiermann and R. S. Varga and W. Niethammer",
title = "{Iterationsverfahren f{\"u}r nichtsymmetrische
Gleichungssysteme und Approximationsmethoden im
Komplexen}. ({German}) [{Iteration} methods for
nonsymmetrical systems of equations and approximation
methods in the complex]",
journal = j-JAHRESBER-DEUTSCH-MATH-VEREIN,
volume = "89",
number = "1",
pages = "1--32",
year = "1987",
CODEN = "JDMVA7",
ISSN = "0012-0456 (print), 1869-7135 (electronic)",
ISSN-L = "0012-0456",
MRclass = "65F10",
MRnumber = "875593 (88c:65034)",
MRreviewer = "W. C. Rheinboldt",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_160.pdf",
ZMnumber = "632.65031",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Jahresbericht der Deutschen Mathematiker-Vereinigung",
language = "German",
}
@Article{Varga:1987:OHB,
author = "R. S. Varga and A. J. Carpenter",
title = "On a conjecture of {S. Bernstein} in approximation
theory",
journal = j-MATH-USSR-SBORNIK,
volume = "57",
number = "2",
pages = "547--560",
month = "????",
year = "1987",
CODEN = "MUSBBS",
ISSN = "0025-5734",
ISSN-L = "0025-5734",
MRnumber = "87g:41066",
bibdate = "Sat Apr 23 06:44:37 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Reprint in English of original
\cite{Varga:1985:BCA}.",
URL = "http://www.math.kent.edu/~varga/pub/paper_154.pdf",
ZMnumber = "661.41005",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Mathematics of the USSR. Sbornik",
remark = "English translation of \cite{Varga:1986:OOG}.",
}
@Article{Csordas:1988:LBB,
author = "G. Csordas and T. S. Norfolk and R. S. Varga",
title = "A lower bound for the {de Bruijn--Newman} constant $ {
\Lambda } $",
journal = j-NUM-MATH,
volume = "52",
number = "5",
pages = "483--497",
month = may,
year = "1988",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01400887",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30D10 (11Y35 65E05)",
MRnumber = "945095 (89m:30054)",
MRreviewer = "G. Opfer",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_162.pdf",
ZMnumber = "663.65017",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
B0290R (Integral equations); C4130 (Interpolation and
function approximation); C4180 (Integral equations)",
corpsource = "Dept. of Math., Hawaii Univ., Honolulu, HI, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Bruijn-Newman constant; integral equations; Jensen
polynomial; lower bound; nonreal zeros; poles and
zeros; polynomials; Riemann hypothesis",
treatment = "T Theoretical or Mathematical",
}
@Article{Csordas:1988:MIR,
author = "George Csordas and Richard S. Varga",
title = "Moment inequalities and the {Riemann} hypothesis",
journal = j-CONST-APPROX,
volume = "4",
number = "2",
pages = "175--198",
year = "1988",
DOI = "https://doi.org/10.1007/BF02075457",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "30C15 (11M26 11M51 26A51 30D15 30E05)",
MRnumber = "932653 (89f:30010)",
MRreviewer = "C. Ryavec",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_161.pdf",
ZMnumber = "696.30007",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Golub:1988:OPH,
author = "Gene H. Golub and Richard S. Varga",
title = "Obituary to {Peter Henrici (13. September 1923--13.
March 1987)}",
journal = j-NUM-MATH,
volume = "52",
number = "5",
pages = "481--482",
month = may,
year = "1988",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01400886",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "01A70",
MRnumber = "945094 (89i:01077)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
author-dates = "Gene Howard Golub (February 29, 1932--November 16,
2007); Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
subject-dates = "Peter Karl Henrici (13 September 1923--13 March
1987)",
}
@Article{Olivier:1988:NPS,
author = "P. Olivier and Q. I. Rahman and R. S. Varga",
title = "On a new proof and sharpenings of a result of
{Fej{\'e}r} on bounded partial sums",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "107",
number = "??",
pages = "237--251",
month = aug,
year = "1988",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(88)90248-0",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "30D55",
MRnumber = "960148 (89k:30033)",
MRreviewer = "Paul Eenigenburg",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
note = "Proceedings of the Victoria Conference on
Combinatorial Matrix Analysis (Victoria, BC, 1987).",
URL = "http://www.math.kent.edu/~varga/pub/paper_164.pdf;
http://www.sciencedirect.com/science/article/pii/0024379588902480",
ZMnumber = "659.30032",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Proietti-Orlandi:1988:BAB,
author = "F. Proietti-Orlandi and R. S. Varga and D. B. Sheffer
and T. E. Price and C. W. Loughry",
title = "Biostereometric analysis for breast cancer detection",
journal = j-J-BIOMED-ENG,
volume = "10",
number = "??",
pages = "237--245",
month = "????",
year = "1988",
CODEN = "JBIEDR",
ISSN = "0141-5425 (print), 2213-9478 (electronic)",
ISSN-L = "0141-5425",
bibdate = "Sat Apr 23 07:01:50 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_163.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Biomedical Engineering",
}
@Article{Rodrigue:1988:CRE,
author = "Garry Rodrigue and Richard Varga",
title = "Convergence rate estimates for iterative solutions of
the biharmonic equation",
journal = j-J-COMPUT-APPL-MATH,
volume = "24",
number = "1--2",
pages = "129--146",
month = nov,
year = "1988",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(88)90348-2",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "65N20",
MRnumber = "976607 (89k:65128)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
note = "Iterative methods for the solution of linear systems",
URL = "http://www.math.kent.edu/~varga/pub/paper_167.pdf;
http://www.sciencedirect.com/science/article/pii/0377042788903482",
ZMnumber = "675.65104",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@InCollection{Sharma:1988:PLT,
author = "A. Sharma and J. Szabados and R. S. Varga",
editor = "Blagovest Sendov and others",
booktitle = "Constructive theory of functions: proceedings of the
{International Conference on Constructive Theory of
Functions, Varna, May 24--May 31, 1987}",
title = "$2$-periodic lacunary trigonometric interpolation: the
{$ (0; M) $} case",
publisher = "Publishing House of the Bulgarian Academy of
Sciences",
address = "Sofia, Bulgaria",
bookpages = "505",
pages = "420--427",
year = "1988",
LCCN = "QA331 .I573 1987",
MRclass = "42A15",
MRnumber = "994870 (90e:42010)",
MRreviewer = "Hans-Bernd Knoop",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_165.pdf",
ZMnumber = "763.42003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
xxbooktitle = "{Constructive Theory of Functions '87, Proceedings of
the International Conference on the Construction Theory
of Functions, May, 24--31, 1987}",
}
@InCollection{Varga:1988:SCS,
author = "Richard S. Varga",
editor = "????",
booktitle = "Visiting scholars' lectures---1987 ({Lubbock}, {TX})",
title = "Scientific computation on some mathematical
conjectures",
volume = "15",
publisher = "Texas Tech University",
address = "Lubbock, TX, USA",
pages = "119--136",
year = "1988",
MRclass = "00A69 (11Y35 30C10 41A10 65Dxx)",
MRnumber = "983899",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Texas Tech Univ. Math. Ser.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Csordas:1989:FTH,
author = "G. Csordas and R. S. Varga",
title = "{Fourier} transforms and the {Hermite--Biehler}
theorem",
journal = j-PROC-AM-MATH-SOC,
volume = "107",
number = "3",
pages = "645--652",
year = "1989",
CODEN = "PAMYAR",
DOI = "https://doi.org/10.2307/2048160",
ISSN = "0002-9939 (print), 1088-6826 (electronic)",
ISSN-L = "0002-9939",
MRclass = "30C15 (30D15 33A70 42A38)",
MRnumber = "982401 (90b:30005)",
MRreviewer = "R. P. Boas",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_175.pdf",
ZMnumber = "683.30033",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Proceedings of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/proc",
}
@Article{Csordas:1989:ITL,
author = "George Csordas and Richard S. Varga",
title = "Integral transforms and the {Laguerre--P{\'o}lya}
class",
journal = j-COMPLEX-VARIABLES-THEORY-APPL,
volume = "12",
number = "1--4",
pages = "211--230",
year = "1989",
CODEN = "CVTADV",
DOI = "https://doi.org/10.1080/17476938908814366",
ISSN = "0278-1077",
ISSN-L = "0278-1077",
MRclass = "30D10 (30D35 42A38)",
MRnumber = "1040921 (91c:30048)",
MRreviewer = "C. N. Linden",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_169.pdf",
ZMnumber = "678.42006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Complex Variables. Theory and Application. An
International Journal",
journal-URL = "https://www.tandfonline.com/journals/gcov19",
}
@Article{Eiermann:1989:HSI,
author = "M. Eiermann and X. Li and R. S. Varga",
title = "On Hybrid Semi-Iterative Methods",
journal = j-SIAM-J-NUMER-ANAL,
volume = "26",
number = "1",
pages = "152--168",
month = feb,
year = "1989",
CODEN = "SJNAAM",
DOI = "https://doi.org/10.1137/0726009",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65F10 (41A10)",
MRnumber = "977953 (90e:65041)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_166.pdf",
ZMnumber = "669.65020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@Article{Li:1989:NSU,
author = "Xiezhang Li and Richard S. Varga",
title = "A note on the {SSOR} and {USSOR} iterative methods
applied to $p$-cyclic matrices",
journal = j-NUM-MATH,
volume = "56",
number = "2--3",
pages = "109--121",
month = oct,
year = "1989",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01409780",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "1018296 (91b:65038)",
MRreviewer = "Stephen W. Brady",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_172.pdf",
ZMnumber = "678.65021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "C1110 (Algebra); C1160 (Combinatorial mathematics);
C4130 (Interpolation and function approximation); C4140
(Linear algebra)",
corpsource = "Inst. for Comput. Math., Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "$p$-cyclic matrices; block Jacobi matrix; eigenvalues
and eigenfunctions; functional equation; graph theory;
iterative methods; matrix algebra; nonzero eigenvalues;
SSOR iterative methods; USSOR iteration matrix; USSOR
iterative methods",
treatment = "T Theoretical or Mathematical",
}
@Article{Niethammer:1989:RMN,
author = "W. Niethammer and R. S. Varga",
title = "Relaxation methods for non-{Hermitian} linear
systems",
journal = j-RESULTS-MATH,
volume = "16",
number = "3--4",
pages = "308--320",
year = "1989",
DOI = "https://doi.org/10.1007/BF03322480",
ISSN = "0378-6218",
ISSN-L = "0378-6218",
MRclass = "65F10",
MRnumber = "1023075 (91g:65069)",
MRreviewer = "Jin Xi Zhao",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_173.pdf",
ZMnumber = "687.65031",
acknowledgement = ack-nhfb,
ajournal = "Results Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Results in Mathematics. Resultate der Mathematik",
journal-URL = "https://www.springer.com/journal/25",
}
@Article{Rigler:1989:SLB,
author = "A. K. Rigler and S. Y. Trimble and R. S. Varga",
title = "Sharp lower bounds for a generalized {Jensen}
inequality",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "19",
number = "1",
pages = "353--373",
year = "1989",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1989-19-1-353",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "30D55",
MRnumber = "1016187 (90j:30055)",
MRreviewer = "Elgin H. Johnston",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Constructive Function Theory---86 Conference
(Edmonton, AB, 1986)",
URL = "http://www.math.kent.edu/~varga/pub/paper_170.pdf",
ZMnumber = "692.30002",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
}
@Article{Ruttan:1989:RVC,
author = "Arden Ruttan and Richard S. Varga",
title = "Real vs. complex rational {Chebyshev} approximation on
an interval",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "19",
number = "1",
pages = "375--381",
year = "1989",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/RMJ-1989-19-1-375",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "41A20",
MRnumber = "1016188 (90j:41030)",
MRreviewer = "Lee L. Keener",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Constructive Function Theory---86 Conference
(Edmonton, AB, 1986)",
URL = "http://www.math.kent.edu/~varga/pub/paper_171.pdf",
ZMnumber = "722.41018",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
}
@Article{Ruttan:1989:UTR,
author = "Arden Ruttan and Richard S. Varga",
title = "A unified theory for real vs. complex rational
{Chebyshev} approximation on an interval",
journal = j-TRANS-AM-MATH-SOC,
volume = "312",
number = "2",
pages = "681--697",
year = "1989",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.2307/2001006",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "41A20 (30C15 41A50)",
MRnumber = "948196 (89h:41038)",
MRreviewer = "G. Meinardus",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_168.pdf",
ZMnumber = "676.41019",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@InCollection{Sharma:1989:PLT,
author = "A. Sharma and R. S. Varga",
editor = "Charles K. Chui and Larry L. Schumaker and Joseph D.
Ward",
booktitle = "Approximation theory {VI}, {Vol. II} ({College
Station, TX, 1989})",
title = "On a $2$-periodic lacunary trigonometric interpolation
problem",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "585--588",
year = "1989",
MRclass = "42A15 (41A05)",
MRnumber = "1091062",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_176.pdf",
ZMnumber = "738.41011",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Sharma:1989:PPL,
author = "A. Sharma and R. S. Varga",
title = "On a particular $2$-periodic lacunary trigonometric
interpolation problem on equidistant nodes",
journal = j-RESULTS-MATH,
volume = "16",
number = "3--4",
pages = "383--404",
year = "1989",
DOI = "https://doi.org/10.1007/BF03322484",
ISSN = "0378-6218",
ISSN-L = "0378-6218",
MRclass = "42A15",
MRnumber = "1023079 (91c:42005)",
MRreviewer = "T. J. Rivlin",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_174.pdf",
ZMnumber = "712.42009",
acknowledgement = ack-nhfb,
ajournal = "Results Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Results in Mathematics. Resultate der Mathematik",
journal-URL = "https://www.springer.com/journal/25",
}
@Article{Csordas:1990:JPA,
author = "George Csordas and Richard S. Varga and Istv{\'a}n
Vincze",
title = "{Jensen} polynomials with applications to the
{Riemann} $ \zeta $-function",
journal = j-J-MATH-ANAL-APPL,
volume = "153",
number = "1",
pages = "112--135",
year = "1990",
CODEN = "JMANAK",
DOI = "https://doi.org/10.1016/0022-247X(90)90269-L",
ISSN = "0022-247x (print), 1096-0813 (electronic)",
ISSN-L = "0022-247X",
MRclass = "11M26 (11N30 30C15 30D15)",
MRnumber = "1080122 (92g:11087)",
MRreviewer = "J. B. Conrey",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_181.pdf",
ZMnumber = "708.30008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Mathematical Analysis and Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/0022247X",
}
@Article{Csordas:1990:NSC,
author = "George Csordas and Richard S. Varga",
title = "Necessary and sufficient conditions and the {Riemann}
hypothesis",
journal = j-ADV-APPL-MATH,
volume = "11",
number = "3",
pages = "328--357",
year = "1990",
DOI = "https://doi.org/10.1016/0196-8858(90)90013-O",
ISSN = "0196-8858 (print), 1090-2074 (electronic)",
ISSN-L = "0196-8858",
MRclass = "11M26 (30D20)",
MRnumber = "1061423 (91d:11107)",
MRreviewer = "J{\"{u}}rgen G. Hinz",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_180.pdf",
ZMnumber = "707.11062",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Advances in Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/01968858",
}
@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",
DOI = "https://doi.org/10.1137/0727015",
ISSN = "0036-1429 (print), 1095-7170 (electronic)",
ISSN-L = "0036-1429",
MRclass = "65D32",
MRnumber = "1034931 (91d:65044)",
MRreviewer = "G. A. Evans",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
JSTOR database",
URL = "http://www.math.kent.edu/~varga/pub/paper_177.pdf",
ZMnumber = "685.41019",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Numerical Analysis",
journal-URL = "http://epubs.siam.org/sinum",
}
@InCollection{Li:1990:NSU,
author = "Xie Zhang Li and Richard S. Varga",
editor = "David R. Kincaid and Linda J. Hayes",
booktitle = "Iterative Methods for Large Linear Systems ({Austin},
{TX}, 1988)",
title = "A note on the {SSOR} and {USSOR} iterative methods
applied to $p$-cyclic matrices",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
bookpages = "xxx + 319",
pages = "235--249",
year = "1990",
ISBN = "0-12-407475-8",
ISBN-13 = "978-0-12-407475-0",
LCCN = "QA432 .I84 1990",
MRclass = "65F10",
MRnumber = "1038098",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1990:AZP,
author = "R. S. Varga and A. J. Carpenter",
editor = "St. Ruscheweyh and E. B. Saff and L. C. Salinas and R.
S. Varga",
title = "Asymptotics for the zeros of the partial sums of $ e^z
$. {II}",
journal = j-LECT-NOTES-MATH,
volume = "1435",
pages = "201--207",
year = "1990",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0087909",
ISBN = "3-540-52768-0 (print), 3-540-47139-1 (e-book)",
ISBN-13 = "978-3-540-52768-8 (print), 978-3-540-47139-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "33B10 (30E15)",
MRnumber = "1071774 (92m:33004)",
MRreviewer = "H.-J. Runckel",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
note = "Computational methods and function theory
({Valpara{\'\i}so, Chile}, March 1989).",
series = ser-LNM,
URL = "http://link.springer.com/chapter/10.1007/BFb0087909/;
http://www.math.kent.edu/~varga/pub/paper_178.pdf",
ZMnumber = "734.30009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0087892",
book-URL = "http://www.springerlink.com/content/978-3-540-47139-4",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@InCollection{Varga:1990:RUM,
author = "Richard S. Varga",
title = "Reminiscences on the {University of Michigan} summer
schools, the {Gatlinburg Symposia}, and
{{\booktitle{Numerische Mathematik}}}",
crossref = "Nash:1990:HSC",
pages = "206--210",
year = "1990",
DOI = "https://doi.org/10.1145/87252.88090",
bibdate = "Thu Dec 20 09:29:00 2018",
bibsource = "http://portal.acm.org/;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_179.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Book{Varga:1990:SCM,
author = "Richard S. Varga",
title = "Scientific Computation on Mathematical Problems and
Conjectures",
volume = "60",
publisher = pub-SIAM,
address = pub-SIAM:adr,
pages = "vi + 122",
year = "1990",
DOI = "https://doi.org/10.1137/1.9781611970111",
ISBN = "0-89871-257-2",
ISBN-13 = "978-0-89871-257-5",
MRclass = "65Dxx (11Mxx 11Yxx 41-02)",
MRnumber = "1068317 (92b:65012)",
MRreviewer = "Herman J. J. te Riele",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib",
series = "CBMS-NSF Regional Conference Series in Applied
Mathematics",
ZMnumber = "703.65004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
tableofcontents = "1: The Bernstein conjecture in approximation theory
\\
2: The ``1/9'' conjecture and its recent solution \\
3: Theoretical and computational aspects of the Riemann
hypothesis \\
4: Asymptotics for the zeros of the partial sums of
exp(z) \\
5: Real vs. complex best rational approximation \\
6: Generalizations of Jensen's inequality for
polynomials having concentration at low degrees",
}
@Article{Carpenter:1991:AZP,
author = "A. J. Carpenter and R. S. Varga and J. Waldvogel",
title = "Asymptotics for the zeros of the partial sums of $ e^z
$. {I}",
journal = j-ROCKY-MOUNTAIN-J-MATH,
volume = "21",
number = "1",
pages = "99--120",
year = "1991",
CODEN = "RMJMAE",
DOI = "https://doi.org/10.1216/rmjm/1181072998",
ISSN = "0035-7596 (print), 1945-3795 (electronic)",
ISSN-L = "0035-7596",
MRclass = "33B10 (30E15 41A60)",
MRnumber = "1113918 (92m:33003)",
MRreviewer = "H.-J. Runckel",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Proceedings of the U.S.-Western Europe Regional
Conference on Pad{\'e} Approximants and Related Topics
(Boulder, CO, 1988).",
URL = "http://www.math.kent.edu/~varga/pub/paper_184.pdf",
ZMnumber = "734.30008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "The Rocky Mountain Journal of Mathematics",
journal-URL = "http://projecteuclid.org/euclid.rmjm",
}
@Article{Csordas:1991:LIA,
author = "G. Csordas and A. Ruttan and R. S. Varga",
title = "The {Laguerre} inequalities with applications to a
problem associated with the {Riemann} hypothesis",
journal = j-NUMER-ALGORITHMS,
volume = "1",
number = "3",
pages = "305--329",
month = sep,
year = "1991",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02142328",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "30D10 (30D15 65E05)",
MRnumber = "1135299 (93c:30041)",
MRreviewer = "Timothy S. Norfolk",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_185.pdf",
ZMnumber = "751.11043",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Dept. of Math., Hawaii Univ., Honolulu, HI, USA",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "de Bruijn-Newman constant; function approximation;
Jensen polynomials; Laguerre inequalities; lower
bounds; nonreal zeros; numerical method; polynomials;
real entire function; Riemann hypothesis",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Gartland:1991:NML,
author = "E. C. {Gartland, Jr.} and P. Palffy-Muhoray and R. S.
Varga",
title = "Numerical minimization of the {Landaude--de Gennes}
free energy: defects in cylindrical capillaries",
journal = "Molecular Crystals and Liquid Crystals (1969--1991)",
volume = "199",
number = "1",
pages = "429--452",
month = "????",
year = "1991",
CODEN = "MCLCA5",
DOI = "https://doi.org/10.1080/00268949108030952",
ISSN = "0026-8941",
ISSN-L = "0026-8941",
bibdate = "Sat Apr 23 07:28:40 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_183.pdf",
acknowledgement = ack-nhfb,
ajournal = "Mol. Cryst. Liq. Cryst.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
journal-URL = "https://www.tandfonline.com/journals/gmcl18",
}
@Article{Sharma:1991:SPT,
author = "A. Sharma and J. Szabados and R. S. Varga",
title = "Some $2$-periodic trigonometric interpolation problems
on equidistant nodes",
journal = "Analysis",
volume = "11",
number = "2--3",
pages = "165--190",
year = "1991",
DOI = "https://doi.org/10.1524/anly.1991.11.23.165",
ISSN = "0174-4747",
ISSN-L = "0174-4747",
MRclass = "41A05",
MRnumber = "1143632 (93g:41005)",
MRreviewer = "R. A. Lorentz",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_186.pdf;
http://www.math.kent.edu/~varga/pub/paper_187.pdf",
ZMnumber = "776.42004",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
}
@Article{Varga:1991:NRB,
author = "R. S. Varga and A. Ruttan and A. Dzh. Karpenter",
title = "Chislennie rezultati o nailuchshikh ravnomernikh
ratsionalnikh approksimatsiyakh funktsii $ |x| $ na
otrezke $ [ - 1, + 1] $. ({Russian}) [Numerical results
on the best uniform rational approximations of the
function $ |x| $ on the interval $ [ - 1, 1] $",
journal = j-MAT-SB,
volume = "182",
number = "11",
pages = "1523--1541",
year = "1991",
DOI = "https://doi.org/10.1070/SM1993v074n02ABEH003347",
ISSN = "0368-8666",
ISSN-L = "0368-8666",
MRclass = "65D15 (41A20)",
MRnumber = "1137861 (92i.65040)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
ZMnumber = "739.65010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Matematicheski\u{\i} Sbornik",
journal-URL = "http://iopscience.iop.org/1064-5616",
language = "Russian",
}
@InCollection{Varga:1991:RVC,
author = "Richard S. Varga and Arden Ruttan",
editor = "Charles K. Chui",
booktitle = "Approximation theory and functional analysis ({College
Station, TX, 1990})",
title = "Real vs. complex best rational approximation",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "215--236",
year = "1991",
MRclass = "41A20 (41A50)",
MRnumber = "1090558",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_182.pdf",
ZMnumber = "719.41034",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Csordas:1992:LSR,
author = "George Csordas and Wayne Smith and Richard S. Varga",
title = "Level sets of real entire functions and the {Laguerre}
inequalities",
journal = "Analysis",
volume = "12",
number = "3--4",
pages = "377--402",
year = "1992",
DOI = "https://doi.org/10.1524/anly.1992.12.34.377",
ISSN = "0174-4747",
ISSN-L = "0174-4747",
MRclass = "30C10 (30C15 30D15)",
MRnumber = "1182637 (93h:30004)",
MRreviewer = "Timothy S. Norfolk",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_192.pdf;
https://www.degruyter.com/document/doi/10.1524/anly.1992.12.34.377/html",
ZMnumber = "759.30016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
}
@Article{Eiermann:1992:ARM,
author = "M. Eiermann and W. Niethammer and R. S. Varga",
title = "Acceleration of Relaxation Methods for Non-{Hermitian}
Linear Systems",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "13",
number = "3",
pages = "979--991",
month = jul,
year = "1992",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/0613059",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "65F10",
MRnumber = "1168089 (93e:65052)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
note = "Iterative methods in numerical linear algebra (Copper
Mountain, CO, 1990).",
URL = "http://www.math.kent.edu/~varga/pub/paper_188.pdf",
ZMnumber = "757.65032",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@InCollection{Norfolk:1992:LBB,
author = "T. S. Norfolk and A. Ruttan and R. S. Varga",
editor = "A. A. Gonchar and E. B. Saff",
booktitle = "Progress in approximation theory ({Tampa}, {FL},
1990)",
title = "A lower bound for the {de Bruijn--Newman} constant {$
\Lambda $}. {II}",
volume = "19",
publisher = pub-SV,
address = pub-SV:adr,
pages = "403--418",
year = "1992",
DOI = "https://doi.org/10.1007/978-1-4612-2966-7_17",
MRclass = "30D10 (11Y35)",
MRnumber = "1240792 (94k:30062)",
MRreviewer = "G. Opfer",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Springer Ser. Comput. Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_193.pdf",
ZMnumber = "787.30016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1992:GMI,
author = "Richard S. Varga",
title = "On a generalization of {Mahler}'s inequality",
journal = "Analysis",
volume = "12",
number = "3--4",
pages = "319--333",
year = "1992",
DOI = "https://doi.org/10.1524/anly.1992.12.34.319",
ISSN = "0174-4747",
ISSN-L = "0174-4747",
MRclass = "30A10 (30C10)",
MRnumber = "1182633 (93j:30002)",
MRreviewer = "George L. Csordas",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_191.pdf",
ZMnumber = "765.30001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
}
@Article{Varga:1992:HHP,
author = "Richard S. Varga",
title = "How high-precision calculations can stimulate
mathematical research",
journal = j-APPL-NUM-MATH,
volume = "10",
number = "3--4",
pages = "177--193",
month = sep,
year = "1992",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/0168-9274(92)90040-K",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "65-01",
MRnumber = "1181695 (93c.65004)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
note = "A Festschrift to honor Professor Garrett Birkhoff on
his eightieth birthday.",
URL = "http://www.math.kent.edu/~varga/pub/paper_190.pdf",
ZMnumber = "758.65001",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@Article{Varga:1992:SCMa,
author = "Richard S. Varga",
title = "Scientific computation on mathematical problems and
conjectures [{Chapters} 1--3]",
journal = "Alkalmazott Matematikai Lapok",
volume = "16",
number = "1--2",
pages = "143--213",
year = "1992",
ISSN = "0133-3399",
ISSN-L = "0133-3399",
MRclass = "65-02 (11Mxx 11Yxx 41-02 65Dxx)",
MRnumber = "1272532",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Translated from the English original [MR1068317
(92b:65012)] by J{\'o}szef Szabados",
acknowledgement = ack-nhfb,
ajournal = "Alkalmaz. Mat. Lapok",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Alkalmazott Matematikai Lapok [Applied Mathematics
Sheets]",
}
@Article{Varga:1992:SCMb,
author = "Richard S. Varga",
title = "Scientific computation on mathematical problems and
conjectures [{Chapters} 4--6]",
journal = "Alkalmazott Matematikai Lapok",
volume = "16",
number = "3--4",
pages = "349--408",
year = "1992",
ISSN = "0133-3399",
ISSN-L = "0133-3399",
MRclass = "65-02 (11Mxx 11Yxx 41-02 65Dxx)",
MRnumber = "1291880",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Translated from the English original [MR1068317
(92b:65012)] by J{\'o}zsef Szabados.",
acknowledgement = ack-nhfb,
ajournal = "Alkalmaz. Mat. Lapok",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Alkalmazott Matematikai Lapok [Applied Mathematics
Sheets]",
}
@Article{Varga:1992:SNR,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Some numerical results on best uniform rational
approximation of $ x^\alpha $ on $ [0, 1] $",
journal = j-NUMER-ALGORITHMS,
volume = "2",
number = "2",
pages = "171--185",
month = "????",
year = "1992",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02145384",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "65D15 (41A20 41A50)",
MRnumber = "1165904 (93b:65024)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.math.psu.edu/dna/contents/na.html;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_189.pdf",
ZMnumber = "763.41025",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
corpsource = "Inst. for Comput. Math, Kent State Univ., OH, USA",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
keywords = "best uniform rational approximation; extrapolation;
function approximation; polynomials; positive number;
rational approximation; real polynomials; Richardson
extrapolation",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Article{Barnard:1993:APS,
author = "Roger W. Barnard and Kent Pearce and Richard S.
Varga",
title = "An application from partial sums of $ e^z $ to a
problem in several complex variables",
journal = j-J-COMPUT-APPL-MATH,
volume = "46",
number = "1--2",
pages = "271--279",
day = "14",
month = jun,
year = "1993",
CODEN = "JCAMDI",
DOI = "https://doi.org/10.1016/0377-0427(93)90301-Q",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
MRclass = "32H02 (30C15 65D20)",
MRnumber = "1222487 (94e:32037)",
MRreviewer = "Ian Graham",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
note = "Computational complex analysis",
URL = "http://www.math.kent.edu/~varga/pub/paper_201.pdf;
http://www.sciencedirect.com/science/article/pii/037704279390301Q",
ZMnumber = "802.32010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Carpenter:1993:SNR,
author = "Amos J. Carpenter and Richard S. Varga",
editor = "A. A. Gonchar and E. B. Saff",
booktitle = "Methods of Approximation Theory in Complex Analysis
and Mathematical Physics",
title = "Some numerical results on best uniform polynomial
approximation of {$ X^\alpha $} on $ [0, 1] $",
journal = j-LECT-NOTES-MATH,
volume = "1550",
pages = "192--222",
year = "1993",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0117488",
ISBN = "3-540-56931-6 (print), 3-540-47792-6 (e-book)",
ISBN-13 = "978-3-540-56931-2 (print), 978-3-540-47792-1
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
MRclass = "65D15 (41A05)",
MRnumber = "1322305 (95m:65022)",
MRreviewer = "Leonid B. Golinski{\u\i}",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib",
note = "Methods of approximation theory in complex analysis
and mathematical physics ({Leningrad}, 1991)",
series = "Lecture Notes in Math.",
URL = "http://link.springer.com/chapter/10.1007/BFb0117488/;
http://www.math.kent.edu/~varga/pub/paper_194.pdf",
ZMnumber = "784.65009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
book-DOI = "https://doi.org/10.1007/BFb0117469",
book-URL = "http://www.springerlink.com/content/978-3-540-47792-1",
fjournal = "Lecture Notes in Mathematics",
journal-URL = "http://link.springer.com/bookseries/304",
}
@Article{Csordas:1993:NLP,
author = "G. Csordas and A. M. Odlyzko and W. Smith and R. S.
Varga",
title = "A new {Lehmer} pair of zeros and a new lower bound for
the {de Bruijn--Newman} constant {$ \Lambda $}",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "1",
pages = "104--111",
month = dec,
year = "1993",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "11M26 (30D10 30D15 65E05)",
MRnumber = "1253639 (94k:11098)",
MRreviewer = "Harvey Cohn",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.1.1993/pp104-111.dir/pp104-111.pdf",
ZMnumber = "807.11059",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Eiermann:1993:OBS,
author = "M. Eiermann and R. S. Varga",
title = "Is the optimal $ \omega $ best for the {SOR} iteration
method?",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "182",
pages = "257--277",
year = "1993",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(93)90503-G",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "65F10",
MRnumber = "1207086 (94c:65038)",
MRreviewer = "George D. Poole",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_195.pdf",
ZMnumber = "773.65016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Eiermann:1993:OOB,
author = "M. Eiermann and R. S. Varga",
title = "Is the Optimal omega Best for the {SOR} Iteration
Method?",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "182",
pages = "257--??",
day = "15",
month = mar,
year = "1993",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Jan 22 09:07:50 MST 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@InCollection{Eiermann:1993:OSI,
author = "Michael Eiermann and Richard S. Varga",
editor = "L. Reichel and A. Ruttan and R. S. Varga",
booktitle = "Numerical linear algebra ({Kent}, {OH}, 1992)",
title = "Optimal semi-iterative methods applied to {SOR} in the
mixed case",
publisher = pub-GRUYTER,
address = pub-GRUYTER:adr,
pages = "47--73",
year = "1993",
MRclass = "65F10 (30C10 30C85)",
MRnumber = "1244153 (94m.65054)",
MRreviewer = "John Todd",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_198.pdf",
ZMnumber = "794.65027",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Eiermann:1993:ZLE,
author = "Michael Eiermann and Richard S. Varga",
title = "Zeros and local extreme points of {Faber} polynomials
associated with hypocycloidal domains",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "1",
pages = "49--71",
month = sep,
year = "1993",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "30C15 (15A48 15A57)",
MRnumber = "1234356 (94i:30006)",
MRreviewer = "George L. Csordas",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.1.1993/pp49-71.dir/pp49-71.pdf",
ZMnumber = "815.30008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Starke:1993:HAF,
author = "Gerhard Starke and Richard S. Varga",
title = "A Hybrid {Arnoldi--Faber} Iterative Method for
Nonsymmetric Systems of Linear Equations",
journal = j-NUM-MATH,
volume = "64",
number = "2",
pages = "213--240",
month = feb,
year = "1993",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01388688",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "65F10",
MRnumber = "1199286 (93m:65043)",
MRreviewer = "Jan Z{\'\i}tko",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib;
Theory/Matrix.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_196.pdf",
ZMnumber = "795.65015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
classification = "B0290F (Interpolation and function approximation);
B0290H (Linear algebra); C4130 (Interpolation and
function approximation); C4140 (Linear algebra)",
corpsource = "Inst. for Comput. Math., Kent State Univ., OH, USA",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
keywords = "Arnoldi's method; Arnoldi--Faber iterative method;
convergence of numerical methods; Faber polynomial;
Faber polynomials; iterative methods; linear equations;
linear system; matrix algebra; nla; nonnormal matrices;
nonsymmetric matrix; polynomials; Richardson iterative
method; Schwarz--Christoffel mapping function; sparse;
sparse nonsymmetric systems; spectrum",
treatment = "T Theoretical or Mathematical",
}
@Article{Varga:1993:ADI,
author = "Richard S. Varga and Reinhard Nabben",
title = "An algorithm for determining if the inverse of a
strictly diagonally dominant {Stieltjes} matrix is
strictly ultrametric",
journal = j-NUM-MATH,
volume = "65",
number = "4",
pages = "493--501",
month = aug,
year = "1993",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/BF01385764",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "15A09",
MRnumber = "1231897 (94e:15008)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_200.pdf",
ZMnumber = "796.65029",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Varga:1993:NPA,
author = "Richard S. Varga and Wilhelm Niethammer",
editor = "????",
booktitle = "Proceedings of the seminar {Numerical Mathematics in
Theory and Practice, University of West Bohemia,
1993}",
title = "A note on a perturbation analysis of iterative
methods, with an application to the {SSOR} and {ADI}
iterative method",
publisher = "????",
address = "????",
pages = "18--27",
year = "1993",
bibdate = "Sat Apr 23 07:52:55 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_203.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1993:NRB,
author = "R. S. Varga and A. Ruttan and A. Dzh. Karpenter",
title = "Numerical results on the best uniform rational
approximations of the function $ |x| $ on the
interval $ [ - 1, 1] $",
journal = j-MATH-USSR-SBORNIK,
volume = "74",
number = "2",
pages = "271--290",
month = "????",
year = "1993",
CODEN = "MUSBBS",
DOI = "https://doi.org/10.1070/SM1993v074n02ABEH003347",
ISSN = "0025-5734",
ISSN-L = "0025-5734",
bibdate = "Sat Apr 23 07:35:07 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_197.pdf;
https://www.turpion.org/php/paper.phtml?journal_id=sm&paper_id=3347",
ZMnumber = "774.65008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Mathematics of the USSR. Sbornik",
}
@InCollection{Varga:1993:SUM,
author = "Richard S. Varga and Reinhard Nabben",
editor = "L. Reichel and A. Ruttan and R. S. Varga",
booktitle = "Numerical linear algebra ({Kent, OH}, 1992)",
title = "On symmetric ultrametric matrices",
publisher = pub-GRUYTER,
address = pub-GRUYTER:adr,
pages = "193--199",
year = "1993",
MRclass = "15A57 (15A09 15A48)",
MRnumber = "1244160 (95f:15019)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_199.pdf",
ZMnumber = "798.15029",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InCollection{Bruck:1994:ERRa,
author = "R. Br{\"u}ck and A. Sharma and R. S. Varga",
editor = "H. P. Dikshit and C. A. Micchelli",
booktitle = "Advances in computational mathematics ({New Delhi,
India, 1993})",
title = "An extension of a result of {Rivilin} on {Walsh}
equiconvergence",
volume = "4",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "225--234",
year = "1994",
MRclass = "30E10 (41A10)",
MRnumber = "1338850 (96h:30071)",
MRreviewer = "Antonio Bonilla-Ramirez",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Ser. Approx. Decompos.",
URL = "http://www.math.kent.edu/~varga/pub/paper_208.pdf",
ZMnumber = "840.30024",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@InCollection{Bruck:1994:ERRb,
author = "R. Br{\"u}ck and A. Sharma and R. S. Varga",
editor = "R. Zahar",
booktitle = "Approximation and computation ({West Lafayette, IN,
1993})",
title = "An extension of a result of {Rivlin} on {Walsh}
equiconvergence ({Faber} nodes)",
volume = "119",
publisher = pub-BIRKHAUSER-BOSTON,
address = pub-BIRKHAUSER-BOSTON:adr,
pages = "41--66",
year = "1994",
MRclass = "41A05 (30E05 30E10 65D05)",
MRnumber = "1333610 (96c:41001)",
MRreviewer = "John H. McCabe",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Internat. Ser. Numer. Math.",
URL = "http://www.math.kent.edu/~varga/pub/paper_210.pdf",
ZMnumber = "840.30025",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Ciarlet:1994:MAS,
author = "Philippe G. Ciarlet and Richard S. Varga",
title = "In memoriam: {Alston Scott Householder}, 1904--1993",
journal = j-NUM-MATH,
volume = "68",
number = "2",
pages = "187--187",
month = jul,
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "01A70",
MRnumber = "1283336",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/4068002/40680187.htm;
http://science.springer.de/nmee/bibs/4068002/40680187.htm",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@InProceedings{Csordas:1994:LPZa,
author = "George Csordas and Wayne [Stewart] Smith and Richard
S. Varga",
editor = "Walter Gautschi",
booktitle = "{{\booktitle{Mathematics of Computation}}} 1943--1993:
a half-century of computational mathematics
({Vancouver, BC}, 1993)",
title = "{Lehmer} pairs of zeros and the {Riemann} $ \xi
$-function",
crossref = "Gautschi:1994:MCH",
volume = "48",
pages = "553--556",
year = "1994",
DOI = "https://doi.org/10.1090/psapm/048/1314889",
MRclass = "11M26",
MRnumber = "1314889 (96b.11119)",
MRreviewer = "Masumi Nakajima",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib",
series = "Proc. Sympos. Appl. Math.",
URL = "http://www.ams.org/books/psapm/048/;
http://www.math.kent.edu/~varga/pub/paper_209.pdf",
ZMnumber = "822.30025",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Csordas:1994:LPZb,
author = "George Csordas and Wayne Smith and Richard S. Varga",
title = "{Lehmer} pairs of zeros, the {de Bruijn--Newman}
constant {$ \Lambda $}, and the {Riemann} hypothesis",
journal = j-CONST-APPROX,
volume = "10",
number = "1",
pages = "107--129",
year = "1994",
DOI = "https://doi.org/10.1007/BF01205170",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "30D10 (30D15)",
MRnumber = "1260363 (94k:30061)",
MRreviewer = "Timothy S. Norfolk",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_206.pdf",
ZMnumber = "792.30020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Freund:1994:CEP,
author = "Roland W. Freund and Richard S. Varga",
title = "Congratulations [to Editor {Professor Josef Stoer} on
the Occasion of his Seventieth Birthday, {June 21,
1994}]",
journal = j-NUM-MATH,
volume = "68",
number = "1",
pages = "1--1",
month = jun,
year = "1994",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Nabben:1994:LAP,
author = "Reinhard Nabben and Richard S. Varga",
title = "A Linear Algebra Proof that the Inverse of a Strictly
Ultrametric Matrix Is a Strictly Diagonally Dominant
{Stieltjes} Matrix",
journal = j-SIAM-J-MAT-ANA-APPL,
volume = "15",
number = "1",
pages = "107--113",
month = jan,
year = "1994",
CODEN = "SJMAEL",
DOI = "https://doi.org/10.1137/S0895479892228237",
ISSN = "0895-4798 (print), 1095-7162 (electronic)",
ISSN-L = "0895-4798",
MRclass = "15A57 (15A48)",
MRnumber = "1257620 (95c:15054)",
MRreviewer = "Gong Ning Chen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/15/1;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib",
URL = "http://epubs.siam.org/sam-bin/dbq/article/22823;
http://www.math.kent.edu/~varga/pub/paper_205.pdf",
ZMnumber = "803.15020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Matrix Analysis and Applications",
journal-URL = "http://epubs.siam.org/simax",
}
@Article{Sharma:1994:SPT,
author = "A. Sharma and J. Szabados and R. S. Varga",
title = "Some $2$-periodic trigonometric interpolation problems
on equidistant nodes. {II}. {Convergence}",
journal = "Studia Scientiarum Mathematicarum Hungarica",
volume = "29",
number = "3--4",
pages = "415--432",
year = "1994",
ISSN = "0081-6906",
ISSN-L = "0081-6906",
MRclass = "42A15",
MRnumber = "1304894",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_211.pdf",
ZMnumber = "859.42003",
acknowledgement = ack-nhfb,
ajournal = "Studia Sci. Math. Hungar.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Studia Scientiarum Mathematicarum Hungarica.
Combinatorics, Geometry and Topology (CoGeTo)",
}
@Article{Varga:1994:AZP,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Asymptotics for the zeros and poles of normalized
{Pad{\'e}} approximants to $ e^z $",
journal = j-NUM-MATH,
volume = "68",
number = "1",
pages = "169--185",
month = jun,
year = "1994",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110050055",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30C15 (33B10 41A21)",
MRnumber = "1278455 (96a:30007)",
MRreviewer = "H.-J. Runckel",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
URL = "http://link.springer.de/link/service/journals/00211/bibs/4068001/40680169.htm;
http://science.springer.de/nmee/bibs/4068001/40680169.htm;
http://www.math.kent.edu/~varga/pub/paper_207.pdf",
ZMnumber = "807.30003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Krautstengl:1995:MGS,
author = "Alan Krautstengl and Richard S. Varga",
title = "Minimal {Gerschgorin} sets for partitioned matrices.
{II}. {The} spectral conjecture",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "3",
pages = "66--82",
month = jun,
year = "1995",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F30 (15A18 65G10)",
MRnumber = "1340782 (96i:65028)",
MRreviewer = "Vladimir Rako\v{c}evi\'{c}",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.3.1995/pp66-82.dir/pp66-82.html;
http://etna.mcs.kent.edu/vol.3.1995/pp66-82.dir/pp66-82.pdf",
ZMnumber = "857.15008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Manteuffel:1995:ASI,
author = "Thomas A. Manteuffel and Gerhard Starke and Richard S.
Varga",
title = "Adaptive $k$-step iterative methods for nonsymmetric
systems of linear equations",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "3",
pages = "50--65",
month = jun,
year = "1995",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F10",
MRnumber = "1340781 (96h:65051)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.3.1995/pp50-65.dir/pp50-65.pdf",
ZMnumber = "858.65036",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Nabben:1995:CIM,
author = "Reinhard Nabben and Richard S. Varga",
title = "On Classes of Inverse {$Z$}-Matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "223/224",
number = "1--3",
pages = "521--552",
day = "??",
month = jul,
year = "1995",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(95)92718-8",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A09 (15A48)",
MRnumber = "1340709 (96g:15011)",
MRreviewer = "Ronald L. Smith",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
note = "Special issue honoring Miroslav Fiedler and Vlastimil
Pt{\'a}k.",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1995&volume=223-224&issue=1-3&aid=9592718;
http://www.math.kent.edu/~varga/pub/paper_213.pdf",
ZMnumber = "828.15021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Nabben:1995:GUM,
author = "Reinhard Nabben and Richard S. Varga",
title = "Generalized Ultrametric Matrices --- a Class of
Inverse {$M$}-Matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "220",
number = "1--3",
pages = "365--390",
day = "15",
month = apr,
year = "1995",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(94)00086-S",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A57",
MRnumber = "1334586 (96c:15039)",
MRreviewer = "Israel Koltracht",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
note = "Proceedings of the Workshop ``Nonnegative Matrices,
Applications and Generalizations'' and the Eighth Haifa
Matrix Theory Conference (Haifa, 1993).",
URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/laa/cas_sub/browse/browse.cgi?year=1995&volume=220&issue=1-3&aid=9400086;
http://www.math.kent.edu/~varga/pub/paper_212.pdf",
ZMnumber = "828.15020",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Varga:1995:MGS,
author = "Richard S. Varga and Alan Krautstengl",
title = "Minimal {Gerschgorin} sets for partitioned matrices.
{III}. {Sharpness} of boundaries and monotonicity as a
function of the partition",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "3",
pages = "83--95",
month = sep,
year = "1995",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F30 (15A18 65G10)",
MRnumber = "1353293 (96i:65029)",
MRreviewer = "Vladimir Rako\v{c}evi\'{c}",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.3.1995/pp83-95.dir/pp83-95.pdf",
ZMnumber = "857.15009",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Brezinski:1996:P,
author = "Claude Brezinski and Richard S. Varga",
title = "Preface",
journal = j-NUMER-ALGORITHMS,
volume = "11",
number = "1-4",
pages = "IX",
year = "1996",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/BF02142484",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "DML",
MRnumber = "1554401",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Pritsker:1996:BSF,
author = "Igor E. Pritsker and Richard S. Varga",
title = "Boundary singularities of {Faber} and {Fourier}
series",
journal = "Analysis",
volume = "16",
number = "3",
pages = "283--295",
year = "1996",
DOI = "https://doi.org/10.1524/anly.1996.16.3.283",
ISSN = "0174-4747",
ISSN-L = "0174-4747",
MRclass = "30B40 (41A58 42C10)",
MRnumber = "1403223 (97e:30002)",
MRreviewer = "Jerome A. Adepoju",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_217.pdf",
ZMnumber = "862.30003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
}
@Article{Varga:1996:CTP,
author = "Richard S. Varga and Igor E. Pritsker",
title = "On a counterexample in the theory of polynomials
having concentration at low degrees",
journal = "Analysis",
volume = "16",
number = "4",
pages = "365--378",
year = "1996",
DOI = "https://doi.org/10.1524/anly.1996.16.4.365",
ISSN = "0174-4747",
ISSN-L = "0174-4747",
MRclass = "30A10 (30C10 30C15)",
MRnumber = "1429460 (98c:30003)",
MRreviewer = "N. K. Thakare",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_218.pdf",
ZMnumber = "863.30002",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Analysis. International Mathematical Journal of
Analysis and its Applications",
journal-URL = "https://www.degruyter.com/journal/key/anly/html",
}
@Article{Kroo:1997:WPA,
author = "A. Kro{\'o} and J. Szabados and R. S. Varga",
title = "Weighted polynomial approximation of some entire
functions on the real line",
journal = j-ANN-NUM-MATH,
volume = "4",
number = "1--4",
pages = "405--413",
year = "1997",
ISSN = "1021-2655",
ISSN-L = "1021-2655",
MRclass = "41A10",
MRnumber = "1422693 (98a:41008)",
MRreviewer = "Mariano Gasca",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "The heritage of P. L. Chebyshev: a Festschrift in
honor of the 70th birthday of T. J. Rivlin",
URL = "http://www.math.kent.edu/~varga/pub/paper_219.pdf",
ZMnumber = "885.41008",
acknowledgement = ack-nhfb,
ajournal = "Ann. Numer. Math.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Annals of Numerical Mathematics",
}
@Article{Pritsker:1997:SCZ,
author = "Igor E. Pritsker and Richard S. Varga",
title = "The {Szeg}{\H{o}} curve, zero distribution and
weighted approximation",
journal = j-TRANS-AM-MATH-SOC,
volume = "349",
number = "10",
pages = "4085--4105",
year = "1997",
CODEN = "TAMTAM",
DOI = "https://doi.org/10.1090/S0002-9947-97-01889-8",
ISSN = "0002-9947 (print), 1088-6850 (electronic)",
ISSN-L = "0002-9947",
MRclass = "30E10 (30C15 31A15 41A30)",
MRnumber = "1407500 (97m:30054)",
MRreviewer = "Antonio Bonilla-Ramirez",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_221.pdf",
ZMnumber = "970.60327",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Transactions of the American Mathematical Society",
journal-URL = "http://www.ams.org/journals/tran/",
}
@Article{Pritsker:1997:WPA,
author = "Igor E. Pritsker and Richard S. Varga",
title = "Weighted polynomial approximation in the complex
plane",
journal = "Electronic Research Announcements of the American
Mathematical Society",
volume = "3",
pages = "38--44",
year = "1997",
DOI = "https://doi.org/10.1090/S1079-6762-97-00021-8",
ISSN = "1079-6762",
ISSN-L = "1079-6762",
MRclass = "30E10 (31A15 41A10)",
MRnumber = "1445633 (98c:30048)",
MRreviewer = "Yuan Ren Lou",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_220.pdf",
ZMnumber = "0963.30024",
acknowledgement = ack-nhfb,
ajournal = "Electron. Res. Announc. Amer. Math. Soc.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Research Announcements of the American
Mathematical Society",
journal-URL = "https://www.ams.org/journals/era/all_issues.html",
}
@Article{Pritsker:1998:WPA,
author = "I. E. Pritsker and R. S. Varga",
title = "Weighted polynomial approximation in the complex
plane",
journal = j-CONST-APPROX,
volume = "14",
number = "4",
pages = "475--492",
year = "1998",
DOI = "https://doi.org/10.1007/s003659900086",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "41A10 (30E10)",
MRnumber = "1646551 (99j:41015)",
MRreviewer = "Juan Carlos Fari\~{n}a Gil",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_222.pdf",
ZMnumber = "920.30028",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@InCollection{Pritsker:1998:ZDS,
author = "I. E. Pritsker and R. S. Varga",
editor = "J. W. Jerome",
booktitle = "Modelling and computation for applications in
mathematics, science, and engineering ({Evanston},
{IL}, 1996)",
title = "Zero distribution, the {Szeg}{\H{o}} curve, and
weighted polynomial approximation in the complex
plane",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "167--188",
year = "1998",
MRclass = "30E10 (41A10)",
MRnumber = "1677389 (2000i.30066)",
MRreviewer = "Juan Carlos Fari\~{n}a Gil",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Numer. Math. Sci. Comput.",
URL = "http://www.math.kent.edu/~varga/pub/paper_223.pdf",
ZMnumber = "926.30024",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:1998:MGB,
author = "Richard S. Varga",
title = "In memoriam: {Garrett Birkhoff: January 10,
1911--November 11, 1996}",
journal = j-J-APPROX-THEORY,
volume = "95",
number = "1",
pages = "iv, 1--4",
year = "1998",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1006/jath.1998.3288",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "01A70",
MRnumber = "1645974",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@InCollection{Pritsker:1999:RAV,
author = "Igor E. Pritsker and Richard S. Varga",
editor = "N. Papamichael and St. Ruscheweyh and E. B. Saff",
booktitle = "Computational methods and function theory 1997
({Nicosia})",
title = "Rational approximation with varying weights in the
complex plane",
volume = "11",
publisher = pub-WORLD-SCI,
address = pub-WORLD-SCI:adr,
pages = "437--448",
year = "1999",
MRclass = "30E10 (41A20)",
MRnumber = "1700367 (2000c:30072)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "Ser. Approx. Decompos.",
URL = "http://www.math.kent.edu/~varga/pub/paper_226.pdf",
ZMnumber = "943.30026",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Pritsker:1999:WRA,
author = "I. E. Pritsker and R. S. Varga",
title = "Weighted rational approximation in the complex plane",
journal = j-J-MATH-PURES-APPL,
volume = "78",
number = "2",
pages = "177--202",
year = "1999",
CODEN = "JMPAAM",
DOI = "https://doi.org/10.1016/S0021-7824(01)80008-8",
ISSN = "0021-7824 (print), 1776-3371 (electronic)",
ISSN-L = "0021-7824",
MRclass = "30E10 (41A20)",
MRnumber = "1677669 (2000b:30057)",
MRreviewer = "John H. McCabe",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_224.pdf",
ZMnumber = "932.30036",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es.
Neuvi\`eme S{\'e}rie",
journal-URL = "http://www.sciencedirect.com/science/journal/00217824",
}
@Article{Todd:1999:HIU,
author = "John Todd and Richard S. Varga",
title = "{Hardy}'s inequality and ultrametric matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "302--303",
number = "1--3",
pages = "33--43",
day = "1",
month = dec,
year = "1999",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/S0024-3795(98)10168-4",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "26D15 (15A45)",
MRnumber = "1733522 (2001k:26030)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.elsevier.com/locate/laa;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1990.bib",
note = "Special issue dedicated to Hans Schneider (Madison,
WI, 1998)",
URL = "http://www.elsevier.nl/gej-ng/10/30/19/117/25/28/abstract.html;
http://www.elsevier.nl/gej-ng/10/30/19/117/25/28/article.pdf;
http://www.math.kent.edu/~varga/pub/paper_227.pdf",
ZMnumber = "0952-15011",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Varga:1999:GTP,
author = "Richard S. Varga and Alan Krautstengl",
title = "On {Ger{\v{s}}gorin}-type problems and ovals of
{Cassini}",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "8",
pages = "15--20",
year = "1999",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "15A18",
MRnumber = "1673933 (99k.15020)",
MRreviewer = "F. Szidarovszky",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.8.1999/pp15-20.dir/pp15-20.pdf",
ZMnumber = "0927.15008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Book{Varga:2000:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
volume = "27",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second",
pages = "x + 358",
year = "2000",
DOI = "https://doi.org/10.1007/978-3-642-05156-2",
ISBN = "3-642-05154-5 (paperback), 3-540-66321-5 (hardcover),
3-642-05156-1 (e-book)",
ISBN-13 = "978-3-642-05154-8 (paperback), 978-3-540-66321-8
(hardcover), 978-3-642-05156-2 (e-book)",
ISSN = "0179-3632",
ISSN-L = "0179-3632",
LCCN = "QA297.8 .V37 2000",
MRclass = "65-01 (15A48 65Fxx)",
MRnumber = "1753713 (2001g:65002)",
MRreviewer = "George D. Poole",
bibdate = "Fri Nov 21 06:49:56 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer Series in Computational Mathematics",
URL = "http://lcweb.loc.gov/catdir/toc/99050196.html;
http://www.loc.gov/catdir/enhancements/fy0815/99050196-d.html;
http://www.springerlink.com/openurl.asp?genre=book&isbn=978-3-642-05161-6",
abstract = "This book is a revised version of the first edition,
originally published by Prentice Hall in 1962 and
regarded as a classic in its field. In some places,
newer research results, e.g., results on weak regular
splittings, have been incorporated in the revision, and
in other places, new material has been added in the
chapters, as well as at the end of chapters, in the
form of additional up-to-date references and some
recent theorems to give the reader some newer
directions to pursue. The material in the new chapters
is basically self-contained and more exercises have
been provided for the readers. While the original
version was more linear algebra oriented, the revision
attempts to emphasize tools from other areas, such as
approximation theory and conformal mapping theory, to
access newer results of interest. The book should be of
great interest to researchers and graduate students in
the field of numerical analysis.",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
subject = "Iterative methods (Mathematics); Matrices",
tableofcontents = "1. Matrix Properties and Concepts / 1 \\
1.1 Introduction / 1 \\
1.2 A Simple Example / 3 \\
1.3 Norms and Spectral Radii / 7 \\
1.4 Bounds for the Spectral Radius. of a Matrix and
Directed Graphs / 16 \\
1.5 Diagonally Dominant Matrices / 22 \\
1.6 Ovals of Cassini / 24 \\
2. Nonnegative Matrices / 31 \\
2.1 Spectral Radii of Nonnegative Matrices / 31 \\
2.2 Cyclic and Primitive Matrices / 40 \\
2.3 Reducible Matrices / 50 \\
2.4 Nonnegative Matrices and Directed Graphs / 53 \\
3 Basic Iterative Methods and Comparison Theorems / 63
\\
3.1 The Point Jacobi, Gauss--Seidel, and Successive
Overrelaxation Iterative Methods / 63 \\
3.2 Average Rates of Convergence / 68 \\
3.3 The Stein--Rosenberg Theorem / 74 \\
3.4 The Ostrowski--Reich Theorem / 81 \\
3.5 Stieltjes Matrices, $M$-Matrices and $H$-Matrices /
87 \\
3.6 Regular and Weak Regular Splittings of Matrices /
94 \\
4. Successive Overrelaxation Iterative Methods / 111
\\
4.1 $p$-Cyclic Matrices / 111 \\
4.2 The Successive Overrelaxation Iterative Method for
$p$-Cyclic Matrices / 119 \\
4.3 Theoretical Determination of an Optimum Relaxation
Factor / 123 \\
4.4 Extensions of the $2$-Cyclic Theory of Matrices /
130 \\
4.5 Asymptotic Rates of Convergence / 141 \\
4.6 CO$(q,r)$ and GCO$(q,r)$: Generalized Consistent
Orderings / 143 \\
5. Semi-Iterative Methods / 149 \\
5.1 Semi-Iterative Methods and Chebyshev Polynomials /
149 \\
5.2 Relationship of Semi-Iterative Methods to
Successive Overrelaxation Iterative Methods / 158 \\
5.3 Comparison of Average Rates of Convergence: the
Weakly Cyclic Case / 165 \\
5.4 Cyclic Reduction and Related Iterative Methods /
170 \\
5.5 Semi-Iterative Methods Applied to the Successive
Overrelaxation Method / 174 \\
6. Derivation and Solution of Elliptic Difference
Equations / 183 \\
6.1 A Simple Two-Point Boundary-Value Problem / 183 \\
6.2 General Second-Order Ordinary Differential
Equations / 196 \\
6.3 Derivation of Finite Difference Approximations in
Higher Dimensions / 204 \\
6.4 Factorization Techniques and Block Iterative
Methods / 219 \\
6.5 Asymptotic Convergence Rates for the Model Problem
/ 226 \\
7. Alternating-Direction Implicit Iterative Methods /
235 \\
7.1 The Peaceman--Rachford Iterative Method / 235 \\
7.2 The Commutative Case / 245 \\
7.3 The Noncommutative Case / 255 \\
7.4 Variants of the Peaceman--Rachford Iterative Method
/ 264 \\
8. Matrix Methods for Parabolic Partial Differential
Equations / 275 \\
8.1 Semi-Discrete Approximation / 275 \\
8.2 Essentially Positive Matrices / 281 \\
8.3 Matrix Approximations for $\exp(-t S)$ / 287 \\
8.4 Relationship with Iterative Methods for Solving
Elliptic Difference Equations / 296 \\
8.5 Chebyshev Rational Approximations for $\exp(-t S)$
/ 304 \\
9. Estimation of Acceleration Parameters / 313 \\
9.1 Application of the Theory of Nonnegative Matrices /
313 \\
9.2 Application of Isoperimetric Inequalities / 321 \\
A. Appendix / 329 \\
B. Appendix / 333 \\
References / 337 \\
Index / 355",
zz-isbn = "3-540-66321-5",
}
@Article{Varga:2000:R,
author = "Richard S. Varga",
title = "Reminiscences",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1-4",
pages = "xv--xvi",
year = "2000",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1023/A:1016648721367",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "01A70",
MRnumber = "1827141",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Mathematical journey through analysis, matrix theory
and scientific computation (Kent, OH, 1999)",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Varga:2000:SCR,
author = "Richard S. Varga",
title = "Scientific computations related to the {Riemann}
hypothesis",
journal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
number = "1145",
pages = "19--30",
year = "2000",
MRclass = "11M26 (11Y35)",
MRnumber = "1795442",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "Numerical solution of partial differential equations
and related topics (Japanese) (Kyoto, 1999)",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "S{\=u}rikaisekikenky{\=u}sho K{\=o}ky{\=u}roku",
}
@Article{Varga:2000:ZPS,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Zeros of the partial sums of $ \cos (z) $ and $ \sin
(z) $. {I}",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1--4",
pages = "363--375",
month = sep,
year = "2000",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1023/A:1016648721367",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "30C15",
MRnumber = "1827165 (2002e:30006)",
MRreviewer = "Ralitza Kovacheva",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://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/5058/3/2/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/3/2/fulltext.pdf;
http://www.math.kent.edu/~varga/pub/paper_230.pdf",
ZMnumber = "0970.30006",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Andrievskii:2001:SAI,
author = "Vladimir V. Andrievskii and Igor E. Pritsker and
Richard S. Varga",
title = "Simultaneous approximation and interpolation of
functions on continua in the complex plane",
journal = j-J-MATH-PURES-APPL,
volume = "80",
number = "4",
pages = "373--388",
year = "2001",
CODEN = "JMPAAM",
DOI = "https://doi.org/10.1016/S0021-7824(00)01197-1",
ISSN = "0021-7824 (print), 1776-3371 (electronic)",
ISSN-L = "0021-7824",
MRclass = "41A28 (30E05 30E10)",
MRnumber = "1832163 (2002b:41017)",
MRreviewer = "Alexander V. Tovstolis",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_231.pdf",
ZMnumber = "1033.30027",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal de Math{\'e}matiques Pures et Appliqu{\'e}es.
Neuvi\`eme S{\'e}rie",
journal-URL = "http://www.sciencedirect.com/science/journal/00217824",
}
@Article{Andrievskii:2001:ZPO,
author = "V. V. Andrievskii and I. E. Pritsker and R. S. Varga",
title = "On zeros of polynomials orthogonal over a convex
domain",
journal = j-CONST-APPROX,
volume = "17",
number = "2",
pages = "209--225",
year = "2001",
DOI = "https://doi.org/10.1007/s003650010027",
ISSN = "0176-4276 (print), 1432-0940 (electronic)",
ISSN-L = "0176-4276",
MRclass = "30C10 (30C15)",
MRnumber = "1814355 (2002a:30005)",
MRreviewer = "Xin Li",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_228.pdf",
ZMnumber = "0990.30003",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Varga:2001:GDB,
author = "Richard S. Varga",
title = "{Gerschgorin} disks, {Brauer} ovals of {Cassini} (a
vindication), and {Brualdi} sets",
journal = "Information",
volume = "4",
number = "2",
pages = "171--178",
year = "2001",
ISSN = "1343-4500",
ISSN-L = "1343-4500",
MRclass = "15A18 (30C15)",
MRnumber = "1827724 (2002c:15016)",
MRreviewer = "K. Chandrasekhara Rao",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_232.pdf",
ZMnumber = "1046.15021",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Information. An International Interdisciplinary
Journal",
}
@InCollection{Varga:2001:GT,
author = "Richard S. Varga",
editor = "????",
booktitle = "Encyclopaedia of Mathematics, Supplement {III}",
title = "{Gerschgorin}'s Theorem",
publisher = pub-KLUWER,
address = pub-KLUWER:adr,
pages = "180--181",
year = "2001",
ISBN = "1-4020-0198-3",
ISBN-13 = "978-1-4020-0198-7",
bibdate = "Sat Apr 23 08:18:07 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_234.pdf",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Varga:2001:GTE,
author = "Richard S. Varga",
title = "{Ger{\v{s}}gorin}-type eigenvalue inclusion theorems
and their sharpness",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "12",
pages = "113--133",
year = "2001",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "15A42 (15A18 65F15)",
MRnumber = "1832018 (2002c:15032)",
MRreviewer = "Ilse C. F. Ipsen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.12.2001/pp113-133.dir/pp113-133.pdf",
ZMnumber = "0979.15015",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Varga:2001:ZPS,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Zeros of the partial sums of $ \cos (z) $ and $ \sin
(z) $. {II}",
journal = j-NUM-MATH,
volume = "90",
number = "2",
pages = "371--400",
month = dec,
year = "2001",
CODEN = "NUMMA7",
DOI = "https://doi.org/10.1007/s002110100320",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
MRclass = "30C15",
MRnumber = "1872732 (2003e:30010)",
MRreviewer = "Ralitza Kovacheva",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://link.springer-ny.com/link/service/journals/00211/tocs/t1090002.htm;
http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0029-599X;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath2000.bib",
URL = "http://link.springer-ny.com/link/service/journals/00211/bibs/1090002/10900371.htm;
http://link.springer-ny.com/link/service/journals/00211/papers/1090002/10900371.pdf;
http://www.math.kent.edu/~varga/pub/paper_233.pdf",
ZMnumber = "0994.30008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Cvetkovic:2004:NGT,
author = "Ljiljana Cvetkovic and Vladimir Kostic and Richard S.
Varga",
title = "A new {Ger{\v{s}}hgorin}-type eigenvalue inclusion
set",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "18",
pages = "73--80",
year = "2004",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F15 (15A18)",
MRnumber = "2114449",
MRreviewer = "Rafikul Alam",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.18.2004/pp73-80.dir/pp73-80.pdf",
ZMnumber = "1069.15016",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Jakimovski:2004:MAS,
author = "Amnon Jakimovski and J{\'o}zsef Szabados and Richard
S. Varga and Jean Sidon and T. N. T. Goodman and A.
Meir and Seng Luan Lee and A. Cavaretta and Marcel G.
de Bruin and Sherman D. Riemenschneider and Rong-Qing
Jia and N. Sivakumar",
title = "In memoriam: {Ambikeshwar Sharma} (1920--2003)",
journal = j-J-APPROX-THEORY,
volume = "131",
number = "1",
pages = "1--18",
year = "2004",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2004.09.007",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "01A70",
MRnumber = "2103830",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Book{Varga:2004:GHC,
author = "Richard S. Varga",
title = "{Ger{\v{s}}gorin} and His Circles",
volume = "36",
publisher = pub-SV,
address = pub-SV:adr,
pages = "x + 226",
year = "2004",
DOI = "https://doi.org/10.1007/978-3-642-17798-9",
ISBN = "3-540-21100-4 (hardcover), 3-642-17798-0 (e-book)",
ISBN-13 = "978-3-540-21100-6 (hardcover), 978-3-642-17798-9
(e-book)",
ISSN = "0179-3632",
ISSN-L = "0179-3632",
LCCN = "QA193 .V37 2004",
MRclass = "15-02 (15-03 15A18 15A42 65-02 65-03 65F15)",
MRnumber = "2093409 (2005h:15002)",
MRreviewer = "David Scott Watkins",
bibdate = "Sun Mar 25 09:35:13 MDT 2018",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/matrix-analysis-2ed.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib;
https://www.math.utah.edu/pub/tex/bib/matlab.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer Series in Computational Mathematics",
URL = "http://www.loc.gov/catdir/enhancements/fy0815/2004104814-d.html",
abstract = "This book studies the original results, and their
extensions, of the Russian mathematician, S. A.
Ger{\v{s}}gorin, who wrote a seminal paper in 1931, on
how to easily obtain estimates of all $n$ eigenvalues
(characteristic values) of any given $n$-by-$n$ complex
matrix. Since the publication of this paper, there have
been many newer results spawned by his paper, and this
book will be the first which is devoted solely to this
resulting area. As such, it will include the latest
research results, such as Brauer ovals of Cassini and
Brualdi lemniscates, and their comparisons. This book
is dedicated to the late Olga Taussky-Todd and her
husband, John Todd. It was Olga who brought to light
Ger{\v{s}}gorin's paper and its significance to the
mathematical world. The level of this book requires
only a modest background in linear algebra and
analysis, and is therefore comprehensible to
upper-level and graduate level students in
mathematics.",
acknowledgement = ack-nhfb # " and " # ack-rah # " and " # ack-crj,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
shorttableofcontents = "I. Preface / vii \\
1. Basic theory / 1 \\
2. Ger{\v{s}}gorian-type eigenvalue inclusion theorems
/ 35 \\
3. More eigenvalue inclusion results / 73 \\
4. Minimal Ger{\v{s}}gorian sets and their sharpness /
97 \\
5. G-functions / 127 \\
6. Ger{\v{s}}gorian-type theorems for partitioned
matrices / 155 \\
Appendices: / \\
A. Ger{\v{s}}gorin's paper from 1931, and comments /
189 \\
B. Vector norms and induced operator norms / 199 \\
C. The Perron--Frobenius theory of nonnegative matrices
/ 201 \\
D. Matlab 6 programs / 205 \\
References / 217",
subject = "Ger{\v{s}}gorin, Semen Aronovich; Algebras, Linear;
Eigenvalues; Valeurs propres; Alg{\`e}bre lin{\'e}aire;
Eigenvalues; Algebras, Linear; Komplexe Matrix;
Matrizen-Eigenwertaufgabe",
subject-dates = "Semen Aronovich Ger{\v{s}}gorin (1901--1933)",
tableofcontents = "I. Preface / vii \\
1. Basic Theory / 1 \\
1.1 Ger{\v{s}}gorin's Theorem / 1 \\
1.2 Extensions of Ger{\v{s}}gorin's Theorem via Graph
Theory / 10 \\
1.3 Analysis Extensions of Ger{\v{s}}gorin's Theorem
and Fan's Theorem / 18 \\
1.4 A Norm Derivation of Ger{\v{s}}gorin's Theorem 1.1
/ 26 \\
2. Ger{\v{s}}gorin-Type Eigenvalue Inclusion Theorems /
35 \\
2.1 Brauer's Ovals of Cassini / 35 \\
2.2 Higher-Order Lemniscates / 43 \\
2.3 Comparison of the Brauer Sets and the Brualdi Sets
/ 53 \\
2.4 The Sharpness of Brualdi Lemniscate Sets / 58 \\
2.5 An Example / 67 \\
3. More Eigenvalue Inclusion Results / 73 \\
3.1 The Parodi--Schneider Eigenvalue Inclusion Sets /
73 \\
3.2 The Field of Values of a Matrix / 79 \\
3.3 Newer Eigenvalue Inclusion Sets / 84 \\
3.4 The Pupkov--Solov'ev Eigenvalue Inclusions Set / 92
\\
4. Minimal Ger{\v{s}}gorin Sets and Their Sharpness /
97 \\
4.1 Minimal Ger{\v{s}}gorin Sets / 97 \\
4.2 Minimal Ger{\v{s}}gorin Sets via Permutations / 110
\\
4.3 A Comparison of Minimal Ger{\v{s}}gorin Sets and
Brualdi Sets / 121 \\
5. $G$-Functions / 127 \\
5.1 The Sets ${\cal F}_n$ and ${\cal G}_n$ / 127 \\
5.2 Structural Properties of ${\cal G}_n$ and ${\cal
G}_n^c$ / 133 \\
5.3 Minimal $G$-Functions / 141 \\
5.4 Minimal $G$-Functions with Small Domains of
Dependence / 145 \\
5.5 Connections with Brauer Sets and Generalized
Brualdi Sets / 149 \\
6. Ger{\v{s}}gorin-Type Theorems for Partitioned
Matrices / 155 \\
6.1 Partitioned Matrices and Block Diagonal Dominance /
155 \\
6.2 A Different Norm Approach / 164 \\
6.3 A Variation on a Theme by Brualdi / 174 \\
6.4 $G$-Functions in the Partitioned Case / 181 \\
Appendix A. Ger{\v{s}}gorin's Paper from 1931, and
Comments / 189 \\
Appendix B. Vector Norms and Induced Operator Norms /
199 \\
Appendix C. The Perron--Frobenius Theory of Nonnegative
Matrices / 201 \\
Appendix D. Matlab 6 Programs / 205 \\
References / 217",
}
@Article{Andrievskii:2006:ADZ,
author = "Vladimir V. Andrievskii and Amos J. Carpenter and
Richard S. Varga",
title = "Angular distribution of zeros of the partial sums of $
e^z $ via the solution of inverse logarithmic potential
problem",
journal = j-COMPUT-METH-FUNCT-THEORY,
volume = "6",
number = "2",
pages = "447--458",
year = "2006",
DOI = "https://doi.org/10.1007/BF03321622",
ISSN = "1617-9447 (print), 2195-3724 (electronic)",
ISSN-L = "1617-9447",
MRclass = "30E10 (30C15)",
MRnumber = "2291144",
MRreviewer = "Vania Hadzijski",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_237.pdf",
ZMnumber = "1116.30024.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Computational Methods and Function Theory",
journal-URL = "https://www.springer.com/journal/40315",
}
@Article{Smithies:2006:SVD,
author = "Laura Smithies and Richard S. Varga",
title = "Singular value decomposition {Ger{\v{s}}gorin} sets",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "417",
number = "2--3",
pages = "370--380",
day = "1",
month = sep,
year = "2006",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2005.10.032",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "47A75 (15A18 46A25 47B15)",
MRnumber = "2250318",
MRreviewer = "Ilse C. F. Ipsen",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_236.pdf",
ZMnumber = "1101.15017",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Fontes:2007:SVD,
author = "Natacha Fontes and Janice Kover and Laura Smithies and
Richard S. Varga",
title = "Singular value decomposition normally estimated
{Ger{\v{s}}gorin} sets",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "26",
pages = "320--329",
year = "2007",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "15A18 (15A42 47A07)",
MRnumber = "2391225",
MRreviewer = "Thomas H. Foregger",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.26.2007/pp320-329.dir/pp320-329.pdf;
http://www.math.kent.edu/~varga/pub/paper_238.pdf",
ZMnumber = "1171.15304",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Varga:2008:AMG,
author = "Richard S. Varga and Ljiljana Cvetkovi{\'c} and
Vladimir Kosti{\'c}",
title = "Approximation of the minimal {Ger{\v{s}}gorin} set of
a square complex matrix",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "30",
pages = "398--405",
year = "2008",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "15A18 (65F15)",
MRnumber = "2487769",
MRreviewer = "Ross A. Lippert",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.30.2008/pp398-405.dir/pp398-405.pdf;
http://www.math.kent.edu/~varga/pub/paper_240.pdf",
ZMnumber = "1188.15008",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Varga:2008:DMZ,
author = "Richard S. Varga and Amos J. Carpenter and Bryan W.
Lewis",
title = "The dynamical motion of the zeros of the partial sums
of $ e^z $, and its relationship to discrepancy
theory",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "30",
pages = "128--143",
year = "2008",
CODEN = "????",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "30C15 (11K38 30E15)",
MRnumber = "2480073",
MRreviewer = "P. Lappan",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "http://etna.mcs.kent.edu/vol.30.2008/pp128-143.dir/pp128-143.pdf;
http://www.math.kent.edu/~varga/pub/paper_239.pdf",
ZMnumber = "1175.30010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Kostic:2009:GTL,
author = "V. Kosti{\'c} and L. J. Cvetkovi{\'c} and R. S.
Varga",
title = "{Ger{\v{s}}gorin}-type localizations of generalized
eigenvalues",
journal = j-NUM-LIN-ALG-APPL,
volume = "16",
number = "11--12",
pages = "883--898",
month = "????",
year = "2009",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.671",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "15A42 (15A18)",
MRnumber = "2567140",
MRreviewer = "Omar Hirzallah",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www3.interscience.wiley.com/journalfinder.html",
URL = "http://www.math.kent.edu/~varga/pub/paper_241.pdf",
acknowledgement = ack-nhfb,
ajournal = "Numer. Linear Algebra Appl.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "13 Oct 2009",
}
@Article{Micchelli:2009:MTJ,
author = "Charles A. Micchelli and Richard S. Varga",
title = "In memoriam: {Theodore J. Rivlin} (1926--2006)",
journal = j-J-APPROX-THEORY,
volume = "161",
number = "1",
pages = "1--8",
year = "2009",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2006.12.012",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "01A70 (41-03)",
MRnumber = "2558139",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
@Book{Varga:2009:MIA,
author = "Richard S. Varga",
title = "Matrix Iterative Analysis",
volume = "27",
publisher = pub-SV,
address = pub-SV:adr,
edition = "Second revised and expanded",
pages = "x + 358",
year = "2009",
DOI = "https://doi.org/10.1007/978-3-642-05156-2",
ISBN = "3-642-05154-5 (softcover), 3-642-05156-1 (e-book)",
ISBN-13 = "978-3-642-05154-8 (softcover), 978-3-642-05156-2
(e-book)",
ISSN = "0179-3632 (print), 2198-3712 (electronic)",
ISSN-L = "0179-3632",
LCCN = "QA263 .V3 2009",
bibdate = "Thu Mar 29 15:14:07 MDT 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
z3950.loc.gov:7090/Voyager",
series = "Springer series in computational mathematics",
abstract = "This is the softcover reprint of a very popular
hardcover edition, a revised version of the first
edition, originally published by Prentice Hall in 1962
and regarded as a classic in its field. In some places,
newer research results, e.g. results on weak regular
splittings, have been incorporated in the revision, and
in other places, new material has been added in the
chapters, as well as at the end of chapters, in the
form of additional up-to-date references and some
recent theorems to give the reader some newer
directions to pursue. The material in the new chapters
is basically self-contained and more exercises have
been provided for the readers. While the original
version was more linear algebra oriented, the revision
attempts to emphasize tools from other areas, such as
approximation theory and conformal mapping theory, to
access newer results of interest. The book should be of
great interest to researchers and graduate students in
the field of numerical analysis.",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
subject = "Iterative methods (Mathematics); Matrices",
tableofcontents = "Matrix Properties and Concepts \\
Nonnegative Matrices \\
Basic Iterative Methods and Comparison Theorems \\
Successive Overrelaxation Iterative Methods \\
Semi-Iterative Methods \\
Derivation and Solution of Elliptic Difference
Equations \\
Alternating-Direction Implicit Iterative Methods \\
Matrix Methods for Parabolic Partial Differential
Equations \\
Estimation of Acceleration Parameters",
}
@Article{Kincaid:2010:LTD,
author = "David R. Kincaid and Richard S. Varga and Charles H.
Warlick",
title = "The life and times of {Dr. David M. Young, Jr.}",
journal = j-NUM-LIN-ALG-APPL,
volume = "17",
number = "5",
pages = "743--757",
month = oct,
year = "2010",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.690",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "01A70 (65-03)",
MRnumber = "2722644",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www3.interscience.wiley.com/journalfinder.html",
acknowledgement = ack-nhfb,
ajournal = "Numer. Linear Algebra Appl.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "27 Jan 2010",
}
@Article{Varga:2010:ZPS,
author = "Richard S. Varga and Amos J. Carpenter",
title = "Zeros of the partial sums of $ \cos (z) $ and $ \sin
(z) $, {III}",
journal = j-APPL-NUM-MATH,
volume = "60",
number = "4",
pages = "298--313",
month = apr,
year = "2010",
CODEN = "ANMAEL",
DOI = "https://doi.org/10.1016/j.apnum.2009.08.007",
ISSN = "0168-9274 (print), 1873-5460 (electronic)",
ISSN-L = "0168-9274",
MRclass = "30C15 (33B10)",
MRnumber = "2607792",
MRreviewer = "Ralitza Kovacheva",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/applnummath.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_242.pdf",
ZMnumber = "1195.30010",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Applied Numerical Mathematics: Transactions of IMACS",
journal-URL = "http://www.sciencedirect.com/science/journal/01689274",
}
@Article{Kostic:2012:LGE,
author = "V. Kosti{\'c} and R. S. Varga and L. Cvetkovi{\'c}",
title = "Localization of generalized eigenvalues by {Cartesian}
ovals",
journal = j-NUM-LIN-ALG-APPL,
volume = "19",
number = "4",
pages = "728--741",
month = aug,
year = "2012",
CODEN = "NLAAEM",
DOI = "https://doi.org/10.1002/nla.801",
ISSN = "1070-5325 (print), 1099-1506 (electronic)",
ISSN-L = "1070-5325",
MRclass = "15A42 (65F15)",
MRnumber = "2951251",
MRreviewer = "Juan R. Torregrosa",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "http://www.interscience.wiley.com/jpages/1070-5325;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numlinaa.bib;
http://www3.interscience.wiley.com/journalfinder.html",
acknowledgement = ack-nhfb,
ajournal = "Numer. Linear Algebra Appl.",
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Numerical Linear Algebra with Applications",
journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506",
onlinedate = "3 Nov 2011",
}
@Article{Noutsos:2012:PFT,
author = "Dimitrios Noutsos and Richard S. Varga",
title = "On the {Perron--Frobenius} theory for complex
matrices",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "437",
number = "4",
pages = "1071--1088",
day = "15",
month = aug,
year = "2012",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2012.03.025",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A18 (15A42 65F15)",
MRnumber = "2926156",
MRreviewer = "Susana M. Furtado",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.sciencedirect.com/science/article/pii/S002437951200256X",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Varga:2012:ANM,
author = "Richard S. Varga and Alessandro Rizzo",
title = "An application of nonnegative matrices to the
synchronization of chaotic oscillators",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "436",
number = "2",
pages = "265--275",
day = "15",
month = jan,
year = "2012",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/j.laa.2010.03.043",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A18 (15B99)",
MRnumber = "2854869",
MRreviewer = "Guanghui Xu",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2010.bib",
URL = "http://www.math.kent.edu/~varga/pub/paper_243.pdf;
http://www.sciencedirect.com/science/article/pii/S002437951000354X",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Hadjidimos:2024:ASC,
author = "Apostolos Hadjidimos and Xiezhang Li and Richard S.
Varga",
title = "Application of the {Schur--Cohn} theorem to the
precise convergence domain for a $p$-cyclic {SOR}
iteration matrix",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "60",
pages = "292--326",
year = "2024",
CODEN = "????",
DOI = "https://doi.org/10.1553/etna_vol60sa1",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "65F10",
MRnumber = "4695960",
bibdate = "Sat Jun 1 08:12:39 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/etna.bib",
URL = "https://etna.math.kent.edu/vol.60.2024/ppA1-A14.dir/ppA1-A14.pdf;
https://etna.math.kent.edu/volumes/2021-2030/vol60/abstract.php?vol=60&pages=A1-A14",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
%%% ====================================================================
%%% Part 2: Publications about Richard S. Varga
%%%
%%% Bibliography entries, sorted in approximate publication order with
%%% ``bibsort --byyear'':
@Article{Taussky:1949:RTD,
author = "Olga Taussky",
title = "A Recurring Theorem on Determinants",
journal = j-AMER-MATH-MONTHLY,
volume = "56",
number = "10",
pages = "672--676",
month = dec,
year = "1949",
CODEN = "AMMYAE",
DOI = "https://doi.org/10.2307/2305561",
ISSN = "0002-9890 (print), 1930-0972 (electronic)",
ISSN-L = "0002-9890",
MRclass = "09.0X",
MRnumber = "0032557",
MRreviewer = "G. B. Price",
bibdate = "Sat Mar 24 12:12:36 2018",
bibsource = "http://www.jstor.org/journals/00029890.htm;
https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
ZMnumber = "0036.01301",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
fjournal = "American Mathematical Monthly",
journal-URL = "http://www.jstor.org/journals/00029890.html",
remark = "This paper is credited with popularizing Gerschgorin's
theorem \cite{Gersgorin:1931:AEM} that provides a
practical computational way to isolate the eigenvalues
of a matrix. See entry \cite{Varga:2004:GHC} for a
book-length treatment of the history of this important
theorem. See \cite[\S 2]{Schneider:1977:OTT} for a
discussion of the significance of this short paper.",
}
@Article{Bueckner:1966:RPD,
author = "Hans F. Bueckner",
title = "Remark on a Paper by {D. S. Griffin} and {R. S. Varga}
{``Numerical Solution of Plane Elasticity Problems''
[J. SIAM {\bf 11} (1963), no. 4, 1046--1062]}",
journal = j-SIAM-J-APPL-MATH,
volume = "14",
number = "2",
pages = "414--414",
month = mar,
year = "1966",
CODEN = "SMJMAP",
DOI = "https://doi.org/10.1137/01140",
ISSN = "0036-1399 (print), 1095-712X (electronic)",
ISSN-L = "0036-1399",
bibdate = "Thu Oct 15 18:16:06 MDT 1998",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siam.bib;
https://www.math.utah.edu/pub/tex/bib/siamjapplmath.bib;
JSTOR database",
note = "See \cite{Griffin:1963:NSP} and comment
\cite{Griffin:1966:CBR}..",
acknowledgement = ack-nhfb,
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
subject-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
}
@Article{Griffin:1966:CBR,
author = "D. S. Griffin and R. S. Varga",
title = "Comments on {Bueckner's Remark on a Paper by D. S.
Griffin and R. S. Varga}",
journal = j-SIAM-J-APPL-MATH,
volume = "14",
number = "2",
pages = "415--416",
month = mar,
year = "1966",
DOI = "https://doi.org/10.1137/0114034",
bibdate = "Wed Nov 15 10:13:39 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "See \cite{Griffin:1963:NSP,Bueckner:1966:RPD}.",
URL = "https://doi.org/10.1137/0114034",
acknowledgement = ack-nhfb,
author-dates = "Richard S. Varga (8 October 1928--25 February 2022)",
fjournal = "SIAM Journal on Applied Mathematics",
journal-URL = "http://epubs.siam.org/siap",
}
@InProceedings{Taussky:1972:PMH,
author = "Olga Taussky",
editor = "Richard S. Varga",
booktitle = "{Gatlinburg V} Symposium on Numerical Algebra, {June
1972}",
title = "Pairs of matrices having property {$L$}",
publisher = "????",
address = "????",
pages = "??--??",
year = "1972",
bibdate = "Tue Mar 27 14:22:26 2018",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
URL = "http://www.math.vt.edu/HHXX/history.html",
acknowledgement = ack-nhfb,
author-dates = "Olga Taussky-Todd (30 August 1906--7 October 1995)",
remark = "I have been able to find whether the proceedings of
this meeting were published. The URL in this entry
says: ``The meetings, which last for five days, are by
invitation only. They are intensive, with plenary talks
in the day and special sessions in the evenings. To
encourage people to talk about work in progress, no
proceedings are published, although extended abstracts
are circulated.''",
}
@InProceedings{Henrici:1977:NTS,
author = "P. Henrici",
booktitle = "{Pad{\'e}} and rational approximation (Proceedings of
the {International Symposium, Universit of South
Florida, Tampa, Florida, 1976})",
title = "Note on a theorem of {Saff} and {Varga}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "157--161",
year = "1977",
MRclass = "41A05",
MRnumber = "0467084",
MRreviewer = "Geneva G. Belford",
bibdate = "Mon Jan 28 07:08:10 2019",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/h/henrici-peter.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
author-dates = "Peter Karl Henrici (13 September 1923--13 March
1987)",
}
@Article{Hadjidimos:1988:NSC,
author = "A. Hadjidimos and M. Neumann",
title = "A note on the {SSOR} convergence domain due to
{Neumaier} and {Varga}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "107",
number = "??",
pages = "207--217",
month = aug,
year = "1988",
CODEN = "LAAPAW",
DOI = "https://doi.org/10.1016/0024-3795(88)90246-7",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
MRclass = "15A48 (65F10)",
MRnumber = "90b:15015",
MRreviewer = "Robert Beauwens",
bibdate = "Wed Nov 30 13:50:57 MST 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala1980.bib",
note = "Proceedings of the Victoria Conference on
Combinatorial Matrix Analysis (Victoria, {BC}, 1987)",
URL = "http://www.sciencedirect.com/science/article/pii/0024379588902467",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795/",
}
@Article{Verschelde:1991:BRN,
author = "J. Verschelde and D. Roose",
title = "Book Review: {{\booktitle{Numerical Continuation
Methods: an Introduction}}: E. L. Allgower, K. Georg,
R. L. Graham, J. Stoer, R. Varga (Eds.)
Springer-Verlag, 1990, Springer Series in Computational
Mathematics. Volume 13. Approx. 400 pages, 37 figures.
Hardcover, DM 128,-ISBN 3-540-12760-7}",
journal = j-J-COMPUT-APPL-MATH,
volume = "34",
number = "2",
pages = "N2--N3",
day = "4",
month = apr,
year = "1991",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 12:20:48 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/037704279190050T",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Fix:1993:BRS,
author = "George J. Fix",
title = "Book Review: {{\booktitle{Scientific Computations on
Mathematical Problems and Conjectures}} (Richard S.
Varga)}",
journal = j-SIAM-REVIEW,
volume = "35",
number = "2",
pages = "318--320",
month = jun,
year = "1993",
CODEN = "SIREAD",
DOI = "https://doi.org/10.1137/1035066",
ISSN = "0036-1445 (print), 1095-7200 (electronic)",
ISSN-L = "0036-1445",
bibdate = "Sat Mar 29 09:55:12 MDT 2014",
bibsource = "http://epubs.siam.org/toc/siread/35/2;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
acknowledgement = ack-nhfb,
fjournal = "SIAM Review",
journal-URL = "http://epubs.siam.org/sirev",
onlinedate = "June 1993",
}
@Article{Bultheel:1994:BRN,
author = "A. Bultheel",
title = "Book Review: {{\booktitle{Numerical linear algebra}}:
L. Reichel, A. Ruttan, R. S. Varga (Eds.): W. de
Gruyter and Co., Berlin, 1993, vii + 199 pages, Price:
DM 168, ISBN 3-11-013784-4}",
journal = j-J-COMPUT-APPL-MATH,
volume = "50",
number = "1--3",
pages = "N2--N3",
day = "20",
month = may,
year = "1994",
CODEN = "JCAMDI",
ISSN = "0377-0427 (print), 1879-1778 (electronic)",
ISSN-L = "0377-0427",
bibdate = "Sat Feb 25 13:02:23 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0377042794903379",
acknowledgement = ack-nhfb,
fjournal = "Journal of Computational and Applied Mathematics",
journal-URL = "http://www.sciencedirect.com/science/journal/03770427",
}
@Article{Anonymous:1995:BRDb,
author = "Anonymous",
title = "Book Review: {{\booktitle{Decision making in economic,
political, social and technological environments with
the analytic hierarchy process}}: the analytic
hierarchy process series, vol. VII: By Thomas L. Saaty
and Luis G. Vargas. RWS Publications, Pittsburgh, PA.
330 pages. \$15.00}",
journal = j-COMPUT-MATH-APPL,
volume = "29",
number = "3",
pages = "116--116",
month = feb,
year = "1995",
CODEN = "CMAPDK",
ISSN = "0898-1221 (print), 1873-7668 (electronic)",
ISSN-L = "0898-1221",
bibdate = "Wed Mar 1 19:11:26 MST 2017",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/computmathappl1990.bib",
URL = "http://www.sciencedirect.com/science/article/pii/0898122195901094",
acknowledgement = ack-nhfb,
fjournal = "Computers and Mathematics with Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/08981221",
}
@Article{Ciarlet:1998:ERV,
author = "Philippe Ciarlet",
title = "Editorial: [to {Richard S. Varga}, Seventieth Birthday
Greetings]",
journal = j-NUM-MATH,
volume = "80",
number = "4",
pages = "495--495",
month = oct,
year = "1998",
CODEN = "NUMMA7",
ISSN = "0029-599X (print), 0945-3245 (electronic)",
ISSN-L = "0029-599X",
bibdate = "Mon Oct 18 21:30:25 1999",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/nummath.bib",
note = "See their earliest joint paper
\cite{Ciarlet:1967:NMH}.",
acknowledgement = ack-nhfb,
fjournal = "Numerische Mathematik",
journal-URL = "http://link.springer.com/journal/211",
}
@Article{Anonymous:19xx:BRA,
author = "Anonymous",
title = "Book Review: {{\booktitle{Advances in Computers,
Volume 3}}. Franz L. Alt and Morris Rubinoff, eds.
Academic Press, New York, 1962. 361 pp.}",
journal = j-TRANS-AM-NUCL-SOC,
volume = "??",
number = "??",
pages = "465--465",
month = "????",
year = "19xx",
CODEN = "TANSAO",
DOI = "",
ISSN = "0003-018X",
bibdate = "Sat Nov 04 07:01:54 2023",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
URL = "https://www.ans.org/pubs/journals/download/article-26563/",
acknowledgement = ack-nhfb,
fjournal = "Transactions of the American Nuclear Society",
journal-URL = "https://www.ans.org/pubs/transactions/",
remark = "The page images carry no volume, issue, month, year
data, and I cannot find an archive of the issues of
this journal.",
remark = "From the review: ``The book consists of six articles:
The Computation of Satellite Orbit Trajectories, by
Samuel D. Conte, pp. 2--76. Multiprogramming, by E. F.
Codd, pp. 78--153. Recent Developments in Nonlinear
Programming, by Philip Wolfe, pp. 156--187. Alternating
Direction Implicit Methods, by Garrett Birkhoff,
Richard S. Varga, and David Young, pp. 190--273.
Combined Analog--Digital Techniques in Simulation, by
Harold K. Skramstad, pp. 275--298. Information
Technology and the Law, by Reed C. Lawlor, pp.
299--346.''",
subject-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996); Richard S. Varga (8 October 1928--25 February
2022)",
}
@Article{Anonymous:2000:RRV,
author = "Anonymous",
title = "Reminiscences of {Richard S. Varga}",
journal = j-NUMER-ALGORITHMS,
volume = "25",
number = "1--4",
pages = "15--16",
month = sep,
year = "2000",
CODEN = "NUALEG",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
bibdate = "Mon Sep 29 08:37:05 MDT 2003",
bibsource = "http://www.kluweronline.com/issn/1017-1398;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "http://ipsapp007.kluweronline.com/content/getfile/5058/3/1/abstract.htm;
http://ipsapp007.kluweronline.com/content/getfile/5058/3/1/fulltext.pdf",
acknowledgement = ack-nhfb,
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Kolotilina:2005:BRR,
author = "Lily Kolotilina",
title = "Book Review: {Richard S. Varga, Ger{\v{s}}gorin and
his circles, Springer series in computational
mathematics vol. 36, Springer-Verlag, Berlin,
Heidelberg, New York (2004) ISBN-10 3-540-21100-4, x +
226 pp}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "402",
number = "1",
pages = "397--402",
day = "1",
month = jun,
year = "2005",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Sat May 14 07:59:09 MDT 2005",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Anonymous:2008:PRV,
author = "Anonymous",
title = "Photo of {Richard S. Varga}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "429",
number = "10",
pages = "x--x",
day = "1",
month = nov,
year = "2008",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:20:21 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Boros:2008:GVI,
author = "Endre Boros and Richard A. Brualdi and Yves Crama and
A. J. Hoffman",
title = "{Ger{\v{s}}gorin} variations {III}: On a theme of
{Brualdi} and {Varga}",
journal = j-LINEAR-ALGEBRA-APPL,
volume = "428",
number = "1",
pages = "14--19",
day = "1",
month = jan,
year = "2008",
CODEN = "LAAPAW",
ISSN = "0024-3795 (print), 1873-1856 (electronic)",
ISSN-L = "0024-3795",
bibdate = "Wed Mar 30 14:19:47 MDT 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/linala2000.bib",
acknowledgement = ack-nhfb,
fjournal = "Linear Algebra and its Applications",
journal-URL = "http://www.sciencedirect.com/science/journal/00243795",
}
@Article{Andriyevskyy:2009:SVD,
author = "Volodymyr Andriyevskyy and Michael Eiermann and Roland
Freund and Jing Li and Volker Mehrmann and Reinhard
Nabben and Lothar Reichel and Daniel B. Szyld",
title = "Special volume dedicated to {Richard S. Varga} on the
occasion of his eightieth birthday",
journal = j-ELECTRON-TRANS-NUMER-ANAL,
volume = "36",
pages = "vii--vii",
year = "2009/10",
ISSN = "1068-9613 (print), 1097-4067 (electronic)",
ISSN-L = "1068-9613",
MRclass = "01A70 (65-06)",
MRnumber = "2779992",
bibdate = "Sat Jun 1 08:19:44 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
fjournal = "Electronic Transactions on Numerical Analysis",
journal-URL = "http://etna.mcs.kent.edu/",
}
@Article{Brezinski:2022:RSV,
author = "Claude Brezinski and Philippe G. Ciarlet",
title = "{Richard Steven Varga, 1928--2022}",
journal = j-NUMER-ALGORITHMS,
volume = "90",
number = "1",
pages = "1--2",
month = may,
year = "2022",
CODEN = "NUALEG",
DOI = "https://doi.org/10.1007/s11075-022-01292-0",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
MRclass = "01A70",
MRnumber = "4409342",
bibdate = "Tue Apr 19 12:23:14 MDT 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
URL = "https://link.springer.com/article/10.1007/s11075-022-01292-0",
acknowledgement = ack-nhfb,
ajournal = "Numer. Algorithms",
fjournal = "Numerical Algorithms",
journal-URL = "http://link.springer.com/journal/11075",
}
@Article{Saff:2023:RVO,
author = "Edward B. Saff",
title = "{Richard S. Varga (October 9, 1928--February 25,
2022)}",
journal = j-CONST-APPROX,
volume = "57",
number = "3",
pages = "981--982",
year = "2023",
DOI = "https://doi.org/10.1007/s00365-023-09632-6",
ISSN-L = "0176-4276",
MRclass = "01A70 (41-03 65-03)",
MRnumber = "4601170",
bibdate = "Sat Jun 1 08:16:01 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
acknowledgement = ack-nhfb,
fjournal = "Constructive Approximation. An International Journal
for Approximations and Expansions",
journal-URL = "http://link.springer.com/journal/365",
}
@Article{Andrievskii:2024:RVO,
author = "Vladimir Andrievskii and Andr{\'a}s Kro{\'o} and
J{\'o}zsef Szabados",
title = "{Richard S. Varga October 9, 1928--February 25,
2022}",
journal = j-J-APPROX-THEORY,
volume = "297",
pages = "1--26",
year = "2024",
CODEN = "JAXTAZ",
DOI = "https://doi.org/10.1016/j.jat.2023.105971",
ISSN = "0021-9045 (print), 1096-0430 (electronic)",
ISSN-L = "0021-9045",
MRclass = "01A70 (30-03 41-03 65-03)",
MRnumber = "4650745",
bibdate = "Sat Jun 1 08:20:57 2024",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
note = "With reminiscences by the authors, Ron DeVore, Volker
Mehrmann, Tim Norfolk, Igor Pritzker, Ed Saff, and
Laura Smithies.",
acknowledgement = ack-nhfb,
articleno = "105971",
fjournal = "Journal of Approximation Theory",
journal-URL = "http://www.sciencedirect.com/science/journal/00219045",
}
%%% ====================================================================
%%% Conference proceedings and cross referenced publications must come
%%% last. They are sorted by year and then by citation label with
%%% ``bibsort --byyear'':
@Proceedings{Birkhoff:1970:NSF,
editor = "Garrett Birkhoff and Richard S. Varga",
booktitle = "Numerical solution of field problems in continuum
physics: proceedings of a {Symposium in applied
mathematics of the American Mathematical Society and
the Society for Industrial and Applied Mathematics held
in Durham, North Carolina, April 5--6, 1968}",
title = "Numerical solution of field problems in continuum
physics: proceedings of a {Symposium in applied
mathematics of the American Mathematical Society and
the Society for Industrial and Applied Mathematics held
in Durham, North Carolina, April 5--6, 1968}",
volume = "2",
publisher = pub-AMS,
address = pub-AMS:adr,
pages = "viii + 280",
year = "1970",
ISBN = "0-8218-1321-0",
ISBN-13 = "978-0-8218-1321-8",
LCCN = "QA1 .A5217 n.s. v.2 1968; QC174.45.S96 1968",
bibdate = "Wed Apr 20 17:21:32 MDT 2022",
bibsource = "fsz3950.oclc.org:210/WorldCat;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib",
series = "SIAM-AMS proceedings",
acknowledgement = ack-nhfb,
subject = "Kontinuumsphysik; Numerisches Verfahren",
}
@Proceedings{Saff:1977:NLA,
editor = "E. B. Saff and R. S. Varga",
booktitle = "{Pad{\'e}} and Rational Approximation: Theory and
Applications: Proceedings of an international symposium
held at the {University of South Florida, Tampa,
Florida, December 15--17, 1976}",
title = "{Pad{\'e}} and Rational Approximation: Theory and
Applications: Proceedings of an international symposium
held at the {University of South Florida, Tampa,
Florida, December 15--17, 1976}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 491",
year = "1977",
ISBN = "0-12-614150-9",
ISBN-13 = "978-0-12-614150-4",
LCCN = "C20.7.P3 C66 1976",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib",
}
@Proceedings{Birkhoff:1984:EPS,
editor = "Garrett Birkhoff and Arthur L. Schoenstadt",
booktitle = "Elliptic Problem Solvers, {II} {(Proceedings of the
Elliptic Problem Solvers Conference, sponsored by the
Mathematics and Mechanics Branch, Office of Naval
Research, held in Monterey, California, January 10--12,
1983)}",
title = "Elliptic Problem Solvers, {II} {(Proceedings of the
Elliptic Problem Solvers Conference, sponsored by the
Mathematics and Mechanics Branch, Office of Naval
Research, held in Monterey, California, January 10--12,
1983)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xiii + 573",
year = "1984",
ISBN = "0-12-100560-7",
ISBN-13 = "978-0-12-100560-3",
LCCN = "QA377 .E533 1983",
MRclass = "00B25 65-06 (65Nxx) 35-06",
MRnumber = "764219 (85g:65007)",
bibdate = "Wed Apr 20 14:10:28 2022",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib",
ZMnumber = "0557.00009",
acknowledgement = ack-nhfb,
author-dates = "David M. Young, Jr. (October 20, 1923--December 21,
2008); Garrett Birkhoff (19 January 1911--22 November
1996); Richard S. Varga (8 October 1928--25 February
2022)",
editor-dates = "Garrett Birkhoff (19 January 1911--22 November 1996)",
subject = "differential equations, elliptic; numerical solutions;
congresses",
tableofcontents = "John R. Rice / Building elliptic problem solvers
with ELLPACK / 3--22 \\
D. Begis and F. Hecht and I. Vidrascu / Presentation
and Evolution of the Club Modulef: a Library of
Computer Procedures for Finite Element Analysis /
23--34 \\
Ronald F. Boisvert / A Fourth Order Accurate Fast
Direct Method for the Helmholtz Equation / 35--44 \\
Stanley C. Eisenstat and Howard C. Elman and Martin H.
Schultz and Andrew H. Sherman / The (New) Yale Sparse
Matrix Package / 45--52 \\
David R. Kincaid and David M. Young / The ITPACK
Project: Past, Present, and Future / 53--63 \\
Wlodzimierz Proskurowski / CMMPAK --- The Capacitance
Matrix Software Package / 65--76 \\
Martin H. Schultz / Solving Elliptic Problems on an
Array Processor System / 77--92 \\
Dennis Gannon and John Van Rosendale / Parallel
Architectures for Iterative Methods on Adaptive, Block
Structured Grids / 93--104 \\
Lennart Johnsson / Highly Concurrent Algorithms for
Solving Linear Systems of Equations / 105--126 \\
Thomas L. Jordan / Conjugate Gradient Preconditioners
for Vector and Parallel Processors / 127--140 \\
H. T. Kung and W. T. Lin / An Algebra for Systolic
Computation / 141--160 \\
Edna Reiter and Garry Rodrigue / An Incomplete-Cholesky
Factorization by a Matrix Partition Algorithm /
161--174 \\
A. H. Sameh / A Fast Poisson Solver for Multiprocessors
/ 175--186 \\
Robert Schreiber / Systolic Arrays: High Performance
Parallel Machines for Matrix Computation / 187--196 \\
Richard S. Varga / A Survey of Recent Results on
Iterative Methods for Solving Large Sparse Linear
Systems / 197--218 \\
O. Axelsson / Numerical Algorithms for Indefinite
Problems / 219--232 \\
Alvin Bayliss and Charles I. Goldstein and Eli
T{\"u}rkei / Preconditioned Conjugate Gradient Methods
For The Helmholtz Equation / 233--244 \\
Petter E. Bj{\o}rstad and Olof B. Widlund / Solving
Elliptic Problems on Regions Partitioned into
Substructures / 245--256 \\
L. W. Ehrlich / The Ad-Hoc SOR Method: a Local
Relaxation Scheme / 257--270 \\
Howard C. Elman / Iterative Methods For
Non-Self-Adjoint Elliptic Problems / 271--284 \\
David J. Evans / Implicit Block Explicit Overrelaxation
Schemes / 285--300 \\
James M. Hyman and Thomas A. Manteuffel / Dynamic
Acceleration of Nonlinear Iterations / 301--314 \\
Eugene L. Wachspress / Navier--Stokes Pressure Equation
Iteration / 315--322 \\
David M. Young and Kang C. Jea and David R. Kincaid /
Accelerating nonsymmetrizable iterative methods /
323--342 \\
[pages 343--344 missing] \\
Ivo Babu{\v{s}}ka and Werner C. Rheinboldt / Adaptive
Finite Element Processes in Structural Mechanics /
345--377 \\
[page 378 missing] \\
George J. Fix / Finite Element Approximations To
Compressible Flow Problems / 379--393 \\
[page 394 missing] \\
Q. V. Dihn and R. Glowinski and J. P{\`e}riaux /
Solving Elliptic Problems by Domain Decomposition
Methods with Applications / 395--426 \\
G. Birkhoff and John F. Brophy and R. E. Lynch /
Computing Added Mass Coefficients / 427--437 \\
[page 438 missing] \\
Joel E. Dendy, Jr. / A Priori Local Grid Refinement in
the Multigrid Method / 439--451 \\
[page 452 missing] \\
Craig C. Douglas / Abstract Multi-Grid with
Applications to Elliptic Boundary-Value Problems /
453--466 \\
Wayne R. Dyksen and John R. Rice / A new ordering
scheme for the Hermite bicubic collocation equations /
467--480 \\
Kelton Flinn and Lois Mansfield / Solution Methods for
the Finite Element Equations in Nonlinear Shell
Analysis / 481--490 \\
[pages 491--492 missing] \\
Randolph E. Bank and Donald J. Rose / Discretization
and Multilevel Solution Techniques for Nonlinear
Elliptic Systems / 493--505 \\
[page 506 missing] \\
Joseph W. Jerome / Analysis of Nonlinear Elliptic
Systems Arising in Reaction\slash Diffusion Modeling /
507--520 \\
James L. Blue and Charles L. Wilson / Numerical Methods
for Solving Coupled Semiconductor Equations on a
Minicomputer / 521--530 \\
P. E. Bj{\o}rstad and W. M. Coughran, Jr. and H. S.
Greenside and D. J. Rose and N. L. Schryer / Numerical
Solution of a Model Equation Near the Onset of the
Rayleigh--B{\`e}nard Instability / 531--543 \\
[page 544 missing] \\
E. C. Gartland, Jr. / Approximation of a Nonsymmetric,
Singularly Perturbed Problem / 545--56? \\
[article contents pages lost between 565 and 566] \\
Mitchell D. Smooke / Confined Laminar Diffusion Flame /
???--568 \\
Index / 569--573",
ZBmath = "3887614",
}
@Proceedings{Graves-Morris:1984:RAI,
editor = "Peter Russell Graves-Morris and Edward B. Saff and
Richard S. Varga",
booktitle = "{Rational Approximation and Interpolation: Proceedings
of the United Kingdom--United States Conference held at
Tampa, Florida, December 12--16, 1983}",
title = "{Rational Approximation and Interpolation: Proceedings
of the United Kingdom--United States Conference held at
Tampa, Florida, December 12--16, 1983}",
volume = "1105",
publisher = pub-SV,
address = pub-SV:adr,
pages = "xii + 528",
year = "1984",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0072395",
ISBN = "3-540-13899-4 (print), 3-540-39113-4 (e-book)",
ISBN-13 = "978-3-540-13899-0 (print), 978-3-540-39113-5
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1105; QA3 .L471 no.1105; QA3.L471",
bibdate = "Tue May 6 14:54:00 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/powell-m-j-d.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/stenger-frank.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1980.bib;
library.mit.edu:9909/mit01;
z3950.loc.gov:7090/Voyager",
price = "DM72.00",
series = ser-LNM,
URL = "http://link.springer.com/book/10.1007/BFb0072395;
http://www.springerlink.com/content/978-3-540-39113-5",
acknowledgement = ack-nhfb,
remark = "Conference on Rational Approximation and
Interpolation, held 12/12--16/83 in Tampa, Fla., and
sponsored by the U.S. National Science Foundation and
the UK Science and Engineering Research Council.",
series-URL = "http://link.springer.com/bookseries/304",
subject = "Approximation theory; Congresses; Interpolation",
}
@Proceedings{Kincaid:1990:IML,
editor = "David R. Kincaid and Linda J. Hayes",
booktitle = "{Iterative methods for large linear systems (Austin,
TX, October 19--21, 1988)}",
title = "{Iterative methods for large linear systems (Austin,
TX, October 19--21, 1988)}",
publisher = pub-ACADEMIC,
address = pub-ACADEMIC:adr,
pages = "xxx + 319",
year = "1990",
ISBN = "0-12-407475-8",
ISBN-13 = "978-0-12-407475-0",
LCCN = "QA432 .I84 1990",
bibdate = "Fri Jan 19 06:59:41 1996",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/k/kincaid-david-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib",
note = "Papers from a conference held Oct. 19--21, 1988, at
the Center for Numerical Analysis of the University of
Texas at Austin. Banquet in honour of David M. Young's
65th birthday.",
acknowledgement = ack-nhfb,
tableofcontents = "Front Cover \\
Iterative Methods for Large Linear Systems \\
Copyright Page \\
Preface \\
Authors of Chapters \\
Papers Presented at Conference \\
Professor David M. Young, Jr. \\
Photographs from Conference \\
Table of Contents \\
1. Fourier Analysis of Two-Level Hierarchical Basis
Preconditioners \\
1 Introduction \\
2 1D, Linear S \\
3 2D, Bilinear S, Bilinear A \\
4 2D, Bilinear, 5-Point A \\
5 3D, Trilinear S, 7-Point A \\
6 Concluding Remarks \\
Acknowledgements \\
References \\
2. An Algebraic Framework for Hierarchical Basis
Functions Multilevel Methods or the Search for
`Optimal' Preconditioners \\
1 Introduction \\
2 The Algebraic Framework for Two-Level Hierarchical
Basis Function Methods \\
3 Recursive Definition of Preconditioner \\
4 The Relative Condition Number of $M$ with Respect to
$A$ \\
5 Concluding Remarks \\
References \\
3. ELLPACK and ITPACK as Research Tools for Solving
Elliptic Problems \\
1 Background \\
2 ELLPACK and ITPACK \\
3 Some Basic Questions \\
4 Direct vs. Iterative Methods \\
5 Different Elliptic Problems \\
6 Symmetry \\
7 Extended Network Analogy \\
8 Orders of Accuracy \\
9 Choice of Mesh \\
10 Computational Complexity \\
11 3D Problems \\
Acknowledgement \\
References \\
4. Preconditioned Iterative Methods for Indefinite
Symmetric Toeplitz Systems \\
1 Introduction \\
2 Toeplitz and Circulant Matrices \\
3 Solution Methods \\
4 Test Matrix Preconditioners \\
5 Test Matrices \\
6 Computed Spectra \\
Acknowledgements \\
References \\
5.A Local Relaxation Scheme (Ad-Hoc SOR) Applied to
Nine Point and Block Difference Equations \\
1 History \\
2 The Method \\
3 Nine Point Application: Cross Derivatives \\
4 Block Iteration \\
Acknowledgements \\
References \\
6. Block Iterative Methods for Cyclically Reduced
Non-Self-Adjoint Elliptic Problems \\
1 Introduction \\
2 The Reduced System for the Convection--Diffusion
Equation \\
3 Bounds for Solving the Convection--Diffusion Equation
\\
4 Numerical Experiments [??] \\
Acknowledgements \\
References \\
7. Toward an Effective Two-Parameter SOR Method \\
1 Background \\
2 Singular Value Decomposition and Orthogonal
Similarities \\
3 Two-Parameter SOR \\
4 A Numerical Example \\
Acknowledgements \\
References \\
Appendix \\
8. Relaxation Parameters for the IQE Iterative
Procedure for Solving Semi-Implicit Navier--Stokes
Difference Equations \\
1 Introduction \\
2 The Continuous and Discrete Problems \\
3 The IQE Iterative Method",
}
@Book{Nash:1990:HSC,
editor = "Stephen G. Nash",
booktitle = "A History of Scientific Computing",
title = "A History of Scientific Computing",
publisher = pub-AW # " and " # pub-ACM,
address = pub-AW # " and " # pub-ACM:adr,
pages = "xix + 359",
year = "1990",
ISBN = "0-201-50814-1",
ISBN-13 = "978-0-201-50814-7",
LCCN = "QA76.17 .H59 1990",
bibdate = "Wed Dec 15 10:39:57 1993",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/birkhoff-garrett.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib;
https://www.math.utah.edu/pub/bibnet/authors/f/fox-leslie.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gear-c-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hartree-douglas-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/hestenes-magnus-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/householder-alston-s.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;;
https://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib;
https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/r/rice-john-r.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/todd-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/y/young-david-m.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana1990.bib;
z3950.loc.gov:7090/Voyager",
series = "ACM Press history series",
acknowledgement = ack-nhfb,
author-dates = "Charles William ``Bill'' Gear (1 February 1935--15
March 2022); Garrett Birkhoff (19 January 1911--22
November 1996); Magnus Rudolph Hestenes (13 February
1906--31 May 1991)",
remark = "Based on papers presented at the Conference on the
History of Scientific and Numeric Computation, held in
Princeton, NJ, 1987. A few brief mentions of Alston
Householder are indexed in the book, with photographs
of him on pages xvi and 344.",
subject = "Electronic data processing; History; Science; Data
processing",
tableofcontents = "Remembrance of things past / Herman H. Goldstine /
5--16 \\
The contribution of J. H. Wilkinson to numerical
analysis / B. N. Parlett / 17--30 \\
The influence of George Forsythe and his students /
James Varah / 31--40 \\
Howard H. Aiken and the computer / I. Bernard Cohen /
41--52 \\
Particles in their self-consistent field: from
Hartree's differential analyzer to Cray machines /
Oscar Buneman / 57--62 \\
Fluid dynamics, reactor computations, and surface
representation / Garrett Birkhoff / 63--87 \\
The development of ODE methods: a symbiosis between
hardware and numerical analysis / C. W. Gear and R. D.
Skeel / 88--105 \\
A personal retrospection of reservoir simulation /
Donald W. Peaceman / 106--129 \\
How the FFT gained acceptance / James W. Cooley /
133--140 \\
Origins of the simplex method / George B. Dantzig /
141--151 \\
Historical comments on finite elements / J. Tinsley
Oden / 152--166 \\
Conjugacy and gradients / Magnus R. Hestenes / 167--179
\\
A historical review of iterative methods / David M.
Young / 180--194 \\
Shaping the evolution of numerical analysis in the
computer age: the SIAM thrust / I. Edward Block /
199--205 \\
Reminiscences on the University of Michigan summer
schools, the Gatlinburg Symposia, and Numerische
Mathematik / Richard S. Varga / 206--210 \\
The origin of mathematics of computation and some
personal recollections / Eugene Isaacson / 211--216 \\
Mathematical software and ACM publications / John R.
Rice / 217--227 \\
BIT --- a child of the computer / Carl-Erik Fr{\"o}berg
/ 228--233 \\
The Los Alamos experience, 1943--1954 / N. Metropolis /
237--250 \\
The prehistory and early history of computation at the
U.S. National Bureau of Standards / John Todd /
251--268 \\
Programmed computing at the Universities of Cambridge
and Illinois in the early fifties / David J. Wheeler /
269--279 \\
Early numerical analysis in the United Kingdom / L. Fox
/ 280--300 \\
The pioneer days of scientific computing in Switzerland
/ Martin H. Gutknecht / 301--313 \\
The development of computational mathematics in
Czechoslovakia and the USSR / I. Babuska / 314--328 \\
The contribution of Leningrad mathematicians to the
development of numerical linear algebra, 1950--1986 /
V. N. Kublanovskaya / 329--338",
}
@Proceedings{Ruscheweyh:1990:CMF,
editor = "Stephan Ruscheweyh and Edward B. Saff and Luis C.
Salinas and Richard S. Varga",
booktitle = "{Computational Methods and Function Theory:
Proceedings of the International Conference held at the
Universidad T{\'e}cnica Federico Santa Mar{\'\i} a,
Valpara{\'\i} so, March 13--18, 1989}",
title = "{Computational Methods and Function Theory:
Proceedings of the International Conference held at the
Universidad T{\'e}cnica Federico Santa Mar{\'\i} a,
Valpara{\'\i} so, March 13--18, 1989}",
volume = "1435",
publisher = pub-SV,
address = pub-SV:adr,
pages = "vi + 207",
year = "1990",
CODEN = "LNMAA2",
DOI = "https://doi.org/10.1007/BFb0087892",
ISBN = "3-540-52768-0 (print), 3-540-47139-1 (e-book)",
ISBN-13 = "978-3-540-52768-8 (print), 978-3-540-47139-4
(e-book)",
ISSN = "0075-8434 (print), 1617-9692 (electronic)",
ISSN-L = "0075-8434",
LCCN = "QA3 .L28 no. 1435",
MRclass = "30-06",
MRnumber = "1071757 (91e:30001)",
bibdate = "Tue May 6 14:54:56 MDT 2014",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib;
https://www.math.utah.edu/pub/tex/bib/lnm1990.bib;
MathSciNet database",
series = ser-LNM,
URL = "http://link.springer.com/book/10.1007/BFb0087892;
http://www.springerlink.com/content/978-3-540-47139-4",
acknowledgement = ack-nhfb,
series-URL = "http://link.springer.com/bookseries/304",
}
@Proceedings{Reichel:1993:NLA,
editor = "Lothar Reichel and Arden Ruttan and Richard S. Varga",
booktitle = "Numerical linear algebra: proceedings of the
{Conference in Numerical Linear Algebra and Scientific
Computation, Kent (Ohio), USA, March 13-=14, 1992}",
title = "Numerical linear algebra: proceedings of the
{Conference in Numerical Linear Algebra and Scientific
Computation, Kent (Ohio), USA, March 13-=14, 1992}",
publisher = pub-GRUYTER,
address = pub-GRUYTER:adr,
pages = "vii + 199",
year = "1993",
ISBN = "3-11-013784-4",
ISBN-13 = "978-3-11-013784-2",
LCCN = "QA184.C655 1993",
bibdate = "Sun Sep 5 09:21:22 2010",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/p/parlett-beresford-n.bib;
https://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
MathSciNet database; melvyl.cdlib.org:210/CDL90",
acknowledgement = ack-nhfb,
meetingname = "Conference in Numerical Linear Algebra and Scientific
Computation (1992: Kent, Ohio)",
subject = "Algebras, Linear; Congresses; Numerical analysis;
Congresses",
}
@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; QA297.M385 1993",
MRclass = "00B25 (11-06 65-06)",
MRnumber = "95j:00014",
bibdate = "Mon Oct 24 11:37:20 2011",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/b/berger-marsha-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/g/gautschi-walter.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lehmer-derrick-henry.bib;
https://www.math.utah.edu/pub/bibnet/authors/o/olver-frank-w-j.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/bibnet/authors/w/wigner-eugene.bib;
https://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib;
https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
https://www.math.utah.edu/pub/tex/bib/fparith.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1940.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1950.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1960.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1970.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
https://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib;
https://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,
author-dates = "Frank William John Olver (15 December 1924--23 April
2013)",
tableofcontents = "Preface / xi \\
Mathematics of Computation: A brief history / Eugene
Isaacson / xvii \\
\\
Part I. Symposium on Numerical Analysis \\
\\
Invited Papers \\
\\
On the development of multigrid methods and their
analysis / James H. Bramble / 5 \\
An introduction to inverse problems / Margaret Cheney /
21 \\
Algorithms for unconstrained optimization: A review of
recent developments / Donald Goldfarb / 33 \\
A survey of componentwise perturbation theory in
numerical linear algebra / Nicholas J. Higham / 49 \\
Numerical evaluation of special functions / D. W.
Lozier and F. W. J. Olver / 79 \\
A survey of numerical cubature over triangles / J. N.
Lyness and Ronald Cools / 127 \\
New trends in the use and analysis of integral
equations / J. C. Nedelec / 151 \\
Applications of multivariate splines / Larry L.
Schumaker / 177 \\
Initial value problems for ordinary differential
equations: Development of ideas, techniques, and
implementation / Hans J. Stetter / 205 \\
Multiresolution methods for partial differential
equations / Roger Temam / 225 \\
\\
Contributed Papers \\
\\
A comparison of techniques for solving ill-conditioned
problems arising from the immersed boundary method /
Loyce Adams and Zhiyun Yang / 243 \\
A mixed spectral-collocation and operator splitting
method for the Wigner-Poisson equation / Anton Arnold /
249 \\
Finite volume methods for irregular one-dimensional
grids / M. J. Berger, R. J. Leveque, and L. G. Stern /
255 \\
Linear rational interpolation of continuous functions
over an interval / Jean-Paul Berrut / 261 \\
A von Neumann reflection for the 2-D Burgers equation /
M. Brio and J. K. Hunter / 265 \\
Slow evolution from the boundary: A new stabilizing
constraint in ill-posed continuation problems / Alfred
S. Carasso / 269 \\
A finite element method for the 2D drift-diffusion
semiconductor model / Zhangxin Chen / 275 \\
Splitting functions and numerical analysis of WR-type
methods for evolutionary and stationary problems / S.
De Marchi, M. Vianello, and R. Zanovello / 281 \\
Error estimates for a quadrature rule for Cauchy
principal value integrals / Kai Diethelm / 287 \\
A numerical radius approach to stable difference
schemes for parabolic systems / Moshe Goldberg / 293
\\
An extension of the Olver-Sookne method for the
solution of second-order linear difference equations /
Takemitsu Hasegawa and Tatsuo Torii / 297 \\
The Faber polynomials for circular arcs / Matthew He /
301 \\
Finite element approximation for optimal control of
electrically conducting fluid flows / L. S. Hou and S.
S. Ravindran / 305 \\
ADI methods for heat equations with discontinuities
along an arbitrary interface / Zhilin Li and Anita Mayo
/ 311 \\
Eigenvalue approximation of Fredholm integral operators
/ E. B. Lin / 317 \\
Spectral methods for singular perturbation problems /
Wenbin Liu and Tao Tang / 323 \\
A quaternion-Jacobi method for symmetric matrices /
Niloufer Mackey / 327 \\
On constructing Chebyshev series solutions of
differential equations / Allan J. MacLeod / 333 \\
Multiquadric collocation methods in the numerical
solution of Volterra integral and integro-differential
equations / Athena Makroglou / 337 \\
Methods for solving large eigenvalue problems
associated with configuration interaction electronic
structure calculations / Kristyn J. Maschhoff / 343 \\
Computing limiting normals to real surfaces / Donal
O'Shea and Les Wilson / 349 \\
Orthogonal spline collocation solution of nonlinear
Schr{\"o}dinger equations / Mark P. Robinson / 355 \\
Who invented the computer? The debate from the
viewpoint of computer architecture / Ra{\'u}l Rojas /
361 \\
Locking and boundary layer effects in the finite
element approximation of the Reissner--Mindlin plate
model / Christoph Schwab and Manil Suri / 367 \\
Efficient spectral Galerkin methods for some elliptic
problems / Jie Shen / 373 \\
Periodic solutions of higher-order difference equations
in two independent variables / Qin Sheng and Ravi P.
Agarwal / 377 \\
Front tracking based on high-resolution wave
propagation methods / Keh-Ming Shyue / 383 \\
Time-splitting methods for nonhomogeneous conservation
laws / Tao Tang and Zhen-Huan Teng / 389 \\
Numerical aspects of uniform Airy-type asymptotic
expansions / N. M. Temme / 395 \\
Local dynamics and bifurcation consistencies of
continuous-time dynamical systems and their numerical
discretizations / Xin Wang, Edward K. Blum, and Qingnan
Li / 399 \\
Computing integrals of the complex error function / J.
A. C. Weideman / 403 \\
Quadratures for improper integrals and their
applications in integral equations / Yuesheng Xu and
Yunhe Zhao / 409 \\
Spline harmonic analysis and wavelet bases / Valery A.
Zheludev / 415 \\
\\
Part II. Minisymposium on Computational Number Theory
Dedicated to the memory of Derrick Henry Lehmer \\
\\
Invited Papers \\
\\
Algorithms for quadratic orders / Ingrid Biehl and
Johannes Buchmann / 425 \\
Analytic computations in number theory / Andrew M.
Odlyzko / 451 \\
The number field sieve / Carl Pomerance / 465 \\
Factoring integers before computers / H. C. Williams
and J. O. Shallit / 481 \\
\\
Contributed Papers \\
\\
Explicit bounds for primes in residue classes / Eric
Bach and Jonathan Sorenson / 535 \\
Ramanujan and Euler's constant / Richard P. Brent / 541
\\
Congruential sieves on FPGA computers / Nathan D.
Bronson and Duncan A. Buell / 547 \\
Lehmer pairs of zeros and the Riemann $\xi$-function /
George Csordas, Wayne Smith, and Richard S. Varga / 553
\\
A record Aliquot sequence / Andrew W. P. Guy and
Richard K. Guy / 557 \\
Implications of computational mathematics for the
philosophy of mathematics / Andrew J. Lazarus / 561 \\
Square roots of products of algebraic numbers / Peter
L. Montgomery / 567 \\
A locally parameterized version of Lehmer's problem /
Gary A. Ray / 573 \\
A new method for finding amicable pairs / H. J. J. te
Riele / 577 \\
Generalized Fermat numbers / Hans Riesel and Anders
Bj{\"o}rn / 583 \\
Evaluation of $\zeta_K(2)$ for some totally real
algebraic number fields K of degree 9 / Kisao Takeuchi
/ 589 \\
The period of the Bell exponential integers modulo a
prime / Samuel S. Wagstaff, Jr. / 595 \\
Computing invariant polynomials of $p$-adic reflection
groups / Changsheng Xu / 599 \\
Author Index / 603 \\
Subject Index / 619",
}
@Proceedings{Brezinski:1996:OPN,
editor = "C. Brezinski and R. S. Varga",
booktitle = "{Orthogonal Polynomials and Numerical Analysis.
Proceedings of the international conference, Luminy,
France, September 5--10, 1994}",
title = "{Orthogonal Polynomials and Numerical Analysis.
Proceedings of the international conference, Luminy,
France, September 5--10, 1994}",
volume = "11(1--4)",
publisher = pub-BALTZER,
address = pub-BALTZER:adr,
pages = "1--354",
month = mar,
year = "1996",
CODEN = "NUALEG",
ISBN = "????",
ISBN-13 = "????",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
LCCN = "????",
bibdate = "Tue Apr 29 08:56:05 MDT 1997",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
series = j-NUMER-ALGORITHMS,
ZMnumber = "43.00043",
acknowledgement = ack-nhfb,
classification = "B0100 (General electrical engineering topics);
B0290F (Interpolation and function approximation);
C4130 (Interpolation and function approximation)",
conflocation = "Luminy, France; 5-10 Sept. 1994",
conftitle = "Orthogonal Polynomials and Numerical Analysis",
keywords = "conjugate-gradient methods; convergence; functions;
linear systems; numerical analysis; orthogonal
polynomials; Pade approximations; polynomials;
vectors",
pubcountry = "Switzerland",
treatment = "T Theoretical or Mathematical",
}
@Proceedings{Calvetti:2000:MJT,
editor = "Daniela Calvetti and Lothar Reichel",
booktitle = "Mathematical journey through analysis, matrix theory
and scientific computation",
title = "Mathematical journey through analysis, matrix theory
and scientific computation",
volume = "25(1--4)",
publisher = pub-BALTZER,
address = pub-BALTZER:adr,
pages = "v--xvi, 1--406",
year = "2000",
CODEN = "NUALEG",
ISBN = "????",
ISBN-13 = "????",
ISSN = "1017-1398 (print), 1572-9265 (electronic)",
ISSN-L = "1017-1398",
LCCN = "????",
MRclass = "00B30 (15-06 65-06)",
MRnumber = "1 827 140",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib",
note = "Papers from the conference held in honor of Richard S.
Varga on the occasion of his 70th birthday at Kent
State University, Kent, OH, March 25--27, 1999",
series = j-NUMER-ALGORITHMS,
}
@Book{Chan:2007:MMC,
editor = "Raymond H. Chan and Chen Greif and Dianne P. O'Leary",
booktitle = "Milestones in Matrix Computation: the Selected Works
of {Gene H. Golub} with Commentaries",
title = "Milestones in Matrix Computation: the Selected Works
of {Gene H. Golub} with Commentaries",
publisher = pub-OXFORD,
address = pub-OXFORD:adr,
pages = "xi + 565 + 3",
year = "2007",
ISBN = "0-19-920681-3",
ISBN-13 = "978-0-19-920681-0",
LCCN = "QA188 .G67 2007",
MRclass = "65-06 (01A75 65Fxx)",
MRnumber = "2281939 (2008b:65004)",
MRreviewer = "David Scott Watkins",
bibdate = "Sat Apr 07 10:23:33 2007",
bibsource = "https://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib;
https://www.math.utah.edu/pub/bibnet/authors/h/higham-nicholas-john.bib;
https://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib;
https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib;
https://www.math.utah.edu/pub/tex/bib/master.bib;
https://www.math.utah.edu/pub/tex/bib/numana2000.bib;
https://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib;
https://www.math.utah.edu/pub/tex/bib/siamreview.bib;
https://www.math.utah.edu/pub/tex/bib/technometrics1970.bib",
URL = "http://www.loc.gov/catdir/enhancements/fy0737/2007276086-d.html",
abstract = "The text presents and discusses some of the most
influential papers in Matrix Computation authored by
Gene H. Golub, one of the founding fathers of the
field. The collection of 21 papers in divided into five
main areas: iterative methods for linear systems,
solution of least squares problems, matrix
factorizations and applications, orthogonal polynomials
and quadrature, and eigenvalue problems an commentaries
for each area are provided by leading experts: Anne
Greenbaum, {\AA}ke Bj{\"o}rck, Nicholas Higham, Walter
Gautschi, and G. W. (Pete) Stewart. Comments on each
paper are also provided by the original authors,
providing the reader with historical information on how
the paper came to be written and under what
circumstances the collaboration was undertaken.
Including a brief biography and facsimiles of the
original papers, this text will be of great interest to
students and researchers in numerical analysis and
scientific computation.",
acknowledgement = ack-nhfb,
tableofcontents = "List of Plates / x \\
I: Gene H. Golub \\
1 Gene H. Golub Biography, by Chen Greif / 3 \\
2 Publications of Gene H. Golub / 13 \\
3 Major Awards / 30 \\
4 Students of Gene H. Golub / 32 \\
II: Iterative Methods for Linear Systems \\
5 Commentary, by Anne Greenbaum / 35 \\
References / 43 \\
6 Chebyshev semi-iterative methods, successive
over-relaxation iterative methods, and second-order
Richardson iterative methods, Parts I and II (with R.
S. Varga) / 45 \\
7 A generalized conjugate gradient method for
non-symmetric systems of linear equations (with Paul
Concus) / 68 \\
8 A generalized conjugate gradient method for the
numerical solution of elliptic partial differential
equations (with Paul Concus and Dianne P. O'Leary) / 79
\\
9 Hermitian and Skew-Hermitian Splitting Methods for
Non-Hermitian Positive Definite Linear Systems (with
Zhong-Zhi Bai and Michael K. Ng) / 102 \\
III: Solution of Least Squares Problems \\
10 Commentary, by {\AA}ke Bj{\"o}rck / 129 \\
References / 141 \\
11 Numerical methods for solving linear least squares
problems / 148 \\
12 Singular value decomposition and least squares
solutions (with C. Reinsch) / 160 \\
13 The differentiation of pseudo-inverses and
non-linear least squares problems whose variables
separate (with V. Pereyra) / 181 \\
14 Generalized cross-validation as a method for
choosing a good ridge parameter (with M. Heath and G.
Wahba) / 202 \\
15 An analysis of the total least squares problem (with
C. Van Loan) / 213 \\
IV: Matrix Factorizations and Applications \\
16 Commentary, by Nicholas Higham / 227 \\
References / 233 \\
17 Calculating the singular values and pseudo-inverse
of a matrix (with W. Kahan) / 236 \\
18 The simplex method of linear programming using $ L U
$ decomposition (with R. H. Bartels) / 257 \\
19 On direct methods for solving Poisson's equation
(with B. L. Buzbee and C. W. Nielson) / 261 \\
20 Numerical methods for computing angles between
linear subspaces (with {\AA}. Bj{\"o}rck) / 292 \\
21 Methods for modifying matrix factorizations (with P.
E. Gill, W. Murray and M. A. Saunders) / 309 \\
V: Orthogonal Polynomials and Quadrature \\
22 Commentary, by Walter Gautschi / 345 \\
References / 354 \\
23 Calculation of Gauss quadrature rules (with J. H.
Welsch) / 359 \\
24 Matrices, moments, and quadrature (with G{\'e}rard
Meurant) / 380 \\
25 Computation of Gauss--Kronrod Quadrature Rules (with
D. Calvetti, W. B. Gragg and L. Reichel) / 434 \\
VI: Eigenvalue Problems \\
26 Commentary, by G. W. Stewart / 457 \\
References / 465 \\
27 Some modified matrix eigenvalue problems / 467 \\
28 Ill-conditioned eigensystems and the computation of
the Jordan canonical form (with J. H. Wilkinson) / 485
\\
29 The block Lanczos method for computing eigenvalues
(with R. Underwood) / 528 \\
30 The numerically stable reconstruction of a Jacobi
matrix from spectral data (with C. de Boor) / 546 Index
/ 563",
}
%%% Last MathSciNet lookup: Sat Jun 1 08:27:06 2024