%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "2.06", %%% date = "16 November 2023", %%% time = "10:57:24 MST", %%% 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 = "56371 10556 44398 466753", %%% 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 %%% http://www.math.kent.edu/~varga %%% %%% At version 2.06, the COMPLETE year coverage %%% looked like this: %%% %%% 1949 ( 1) 1974 ( 4) 1999 ( 4) %%% 1950 ( 0) 1975 ( 5) 2000 ( 6) %%% 1951 ( 0) 1976 ( 14) 2001 ( 6) %%% 1952 ( 2) 1977 ( 8) 2002 ( 0) %%% 1953 ( 1) 1978 ( 8) 2003 ( 0) %%% 1954 ( 2) 1979 ( 6) 2004 ( 3) %%% 1955 ( 0) 1980 ( 8) 2005 ( 1) %%% 1956 ( 1) 1981 ( 9) 2006 ( 2) %%% 1957 ( 4) 1982 ( 4) 2007 ( 2) %%% 1958 ( 3) 1983 ( 25) 2008 ( 4) %%% 1959 ( 6) 1984 ( 10) 2009 ( 4) %%% 1960 ( 3) 1985 ( 6) 2010 ( 2) %%% 1961 ( 4) 1986 ( 7) 2011 ( 0) %%% 1962 ( 3) 1987 ( 2) 2012 ( 3) %%% 1963 ( 3) 1988 ( 9) 2013 ( 0) %%% 1964 ( 3) 1989 ( 10) 2014 ( 0) %%% 1965 ( 4) 1990 ( 10) 2015 ( 0) %%% 1966 ( 9) 1991 ( 7) 2016 ( 0) %%% 1967 ( 5) 1992 ( 8) 2017 ( 0) %%% 1968 ( 10) 1993 ( 14) 2018 ( 0) %%% 1969 ( 8) 1994 ( 11) 2019 ( 0) %%% 1970 ( 10) 1995 ( 6) 2020 ( 0) %%% 1971 ( 6) 1996 ( 4) 2021 ( 0) %%% 1972 ( 9) 1997 ( 3) 2022 ( 1) %%% 1973 ( 8) 1998 ( 4) %%% 19xx ( 1) %%% %%% Article: 269 %%% Book: 12 %%% InCollection: 23 %%% InProceedings: 29 %%% PhdThesis: 1 %%% Proceedings: 10 %%% TechReport: 2 %%% %%% Total entries: 346 %%% %%% 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 early 2022 records 25 students of Richard %%% Varga, and 233 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, 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 = "342--??", 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)", } @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, 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 = "????", address = "????", 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 = "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/linala2000.bib; https://www.math.utah.edu/pub/tex/bib/matlab.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://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 has 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 = "1. Basic theory \\ 2. Ger{\v{s}}gorin-type eigenvalue inclusion theorems \\ 3. More eigenvalue inclusion results \\ 4. Minimal Ger{\v{s}}gorin sets and their sharpness \\ 5. G-functions \\ 6. Ger{\v{s}}gorin-type theorems for partitioned matrices \\ Appendices: \\ A. Ger{\v{s}}gorin-type theorems for partitioned matrices \\ B. Vector norms and induced operator norms \\ C. The Person--Frobenius theory of nonnegative matrices \\ D. Matlab 6 programs", subject = "Eigenvalues; Matric inequalities; Algebras, Linear; Ger{\v{s}}gorin, Semen Aronovich", subject-dates = "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", }

%%% ==================================================================== %%% 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", bibsource = "https://www.math.utah.edu/pub/bibnet/authors/v/varga-richard-steven.bib", 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", 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", }

%%% ==================================================================== %%% 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", }