Varga, Richard S.
Overview
Works:  89 works in 288 publications in 5 languages and 5,338 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA3, 005.1 
Publication Timeline
.
Most widely held works by
Richard S Varga
Matrix iterative analysis
by
Richard S Varga(
Book
)
63 editions published between 1962 and 2009 in 3 languages and held by 1,677 WorldCat member libraries worldwide
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 uptodate references and some recent theorems to give the reader some newer directions to pursue. The material in the new chapters is basically selfcontained 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
63 editions published between 1962 and 2009 in 3 languages and held by 1,677 WorldCat member libraries worldwide
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 uptodate references and some recent theorems to give the reader some newer directions to pursue. The material in the new chapters is basically selfcontained 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
Functional analysis and approximation theory in numerical analysis
by
Richard S Varga(
Book
)
27 editions published between 1971 and 1991 in 3 languages and held by 531 WorldCat member libraries worldwide
Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis
27 editions published between 1971 and 1991 in 3 languages and held by 531 WorldCat member libraries worldwide
Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis
Zeros of sections of power series
by
Albert Edrei(
Book
)
14 editions published in 1983 in English and German and held by 490 WorldCat member libraries worldwide
14 editions published in 1983 in English and German and held by 490 WorldCat member libraries worldwide
Rational approximation and interpolation : proceedings of the United KingdomUnited States conference held at Tampa, Florida, December 1216, 1983
by
P. R GravesMorris(
Book
)
13 editions published in 1984 in English and German and held by 484 WorldCat member libraries worldwide
13 editions published in 1984 in English and German and held by 484 WorldCat member libraries worldwide
Scientific computation on mathematical problems and conjectures
by
Richard S Varga(
Book
)
17 editions published between 1990 and 1994 in English and Chinese and held by 374 WorldCat member libraries worldwide
Studies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures. In this case, scientific computation refers primarily to computations that are carried out with a large number of significant digits, for calculations associated with a variety of numerical techniques such as the (second) Remez algorithm in polynomial and rational approximation theory, Richardson extrapolation of sequences of numbers, the accurate finding of zeros of polynomials of large degree, and the numerical approximation of integrals by quadrature techniques. The goal of this book is not to delve into the specialized field dealing with the creation of robust and reliable software needed to implement these highprecision calculations, but rather to emphasize the enormous power that existing software brings to the mathematician's arsenal of weapons for attacking mathematical problems and conjectures. Scientific Computation on Mathematical Problems and Conjectures includes studies of the Bernstein Conjecture of 1913 in polynomial approximation theory, the "1/9" Conjecture of 1977 in rational approximation theory, the famous Riemann Hypothesis of 1859, and the Polya Conjecture of 1927. The emphasis of this monograph rests strongly on the interplay between hard analysis and highprecision calculations
17 editions published between 1990 and 1994 in English and Chinese and held by 374 WorldCat member libraries worldwide
Studies the use of scientific computation as a tool in attacking a number of mathematical problems and conjectures. In this case, scientific computation refers primarily to computations that are carried out with a large number of significant digits, for calculations associated with a variety of numerical techniques such as the (second) Remez algorithm in polynomial and rational approximation theory, Richardson extrapolation of sequences of numbers, the accurate finding of zeros of polynomials of large degree, and the numerical approximation of integrals by quadrature techniques. The goal of this book is not to delve into the specialized field dealing with the creation of robust and reliable software needed to implement these highprecision calculations, but rather to emphasize the enormous power that existing software brings to the mathematician's arsenal of weapons for attacking mathematical problems and conjectures. Scientific Computation on Mathematical Problems and Conjectures includes studies of the Bernstein Conjecture of 1913 in polynomial approximation theory, the "1/9" Conjecture of 1977 in rational approximation theory, the famous Riemann Hypothesis of 1859, and the Polya Conjecture of 1927. The emphasis of this monograph rests strongly on the interplay between hard analysis and highprecision calculations
Numerical linear algebra proceedings of the Conference in Numerical Linear Algebra and Scientific Computation, Kent (Ohio), USA, March 1314, 1992
by
Lothar Reichel(
)
10 editions published in 1993 in English and held by 340 WorldCat member libraries worldwide
10 editions published in 1993 in English and held by 340 WorldCat member libraries worldwide
Numerical solution of field problems in continuum physics; proceedings of a symposium in applied mathematics
by Symposium in Applied Mathematics(
Book
)
5 editions published in 1970 in English and held by 336 WorldCat member libraries worldwide
5 editions published in 1970 in English and held by 336 WorldCat member libraries worldwide
Padé and rational approximation : theory and applications : proceedings of an international symposium held at the University of South Florida, Tampa, Florida, December 1517, 1976
by Conference on Rational Approximation with Emphasis on Applications of Padé Approximants(
Book
)
7 editions published in 1977 in English and Undetermined and held by 315 WorldCat member libraries worldwide
7 editions published in 1977 in English and Undetermined and held by 315 WorldCat member libraries worldwide
Geršgorin and his circles
by
Richard S Varga(
Book
)
16 editions published between 2004 and 2010 in English and German and held by 260 WorldCat member libraries worldwide
This book studies the original results, and their extensions, of the Russian mathematician, S.A. Geršgorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given nbyn 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
16 editions published between 2004 and 2010 in English and German and held by 260 WorldCat member libraries worldwide
This book studies the original results, and their extensions, of the Russian mathematician, S.A. Geršgorin, who wrote a seminal paper in 1931, on how to easily obtain estimates of all n eigenvalues (characteristic values) of any given nbyn 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
Topics in polynomial and rational interpolation and approximation
by
Richard S Varga(
Book
)
9 editions published in 1982 in English and Undetermined and held by 202 WorldCat member libraries worldwide
9 editions published in 1982 in English and Undetermined and held by 202 WorldCat member libraries worldwide
Padé and rational approximation : theory and applications
by
E. B Saff(
Book
)
6 editions published in 1977 in English and held by 52 WorldCat member libraries worldwide
Pade and Rational Approximation
6 editions published in 1977 in English and held by 52 WorldCat member libraries worldwide
Pade and Rational Approximation
Solving ordinary differential equations
by
E Hairer(
Book
)
1 edition published in 1993 in English and held by 52 WorldCat member libraries worldwide
The subject of this book is the solution of stiff differential equations and of differentialalgebraic systems (differential equations with constraints). There is a chapter on onestep and extrapolation methods for stiff problems, another on multistep methods and general linear methods for stiff problems, a third on the treatment of singular perturbation problems, and a last one on differentialalgebraic problems with applications to constrained mechanical systems. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differentialalgebraic problems arise everywhere in scientific computations (e.g. in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented. Ernst Hairer and Gerhard Wanner were jointly awarded the 2003 Peter Henrici Prize at ICIAM 2003 in Sydney, Australia
1 edition published in 1993 in English and held by 52 WorldCat member libraries worldwide
The subject of this book is the solution of stiff differential equations and of differentialalgebraic systems (differential equations with constraints). There is a chapter on onestep and extrapolation methods for stiff problems, another on multistep methods and general linear methods for stiff problems, a third on the treatment of singular perturbation problems, and a last one on differentialalgebraic problems with applications to constrained mechanical systems. The beginning of each chapter is of introductory nature, followed by practical applications, the discussion of numerical results, theoretical investigations on the order and accuracy, linear and nonlinear stability, convergence and asymptotic expansions. Stiff and differentialalgebraic problems arise everywhere in scientific computations (e.g. in physics, chemistry, biology, control engineering, electrical network analysis, mechanical systems). Many applications as well as computer programs are presented. Ernst Hairer and Gerhard Wanner were jointly awarded the 2003 Peter Henrici Prize at ICIAM 2003 in Sydney, Australia
Encyclopaedia of Mathematics, Supplement III
by
Shreeram Shankar Abhyankar(
)
2 editions published in 2002 in English and held by 19 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
2 editions published in 2002 in English and held by 19 WorldCat member libraries worldwide
This is the third supplementary volume to Kluwer's highly acclaimed twelvevolume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and uptodate Encyclopaedia of Mathematics available
Computational methods and function theory : proceedings of a conference, held in Valparaíso, Chile, March 1318, 1989
by
Stephan Ruscheweyh(
)
3 editions published in 1990 in English and held by 14 WorldCat member libraries worldwide
The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions  original research articles, a survey and a collection of problems  cover a broad range of such problems
3 editions published in 1990 in English and held by 14 WorldCat member libraries worldwide
The volume is devoted to the interaction of modern scientific computation and classical function theory. Many problems in pure and more applied function theory can be tackled using modern computing facilities: numerically as well as in the sense of computer algebra. On the other hand, computer algorithms are often based on complex function theory, and dedicated research on their theoretical foundations can lead to great enhancements in performance. The contributions  original research articles, a survey and a collection of problems  cover a broad range of such problems
Iterative numerical analysis
by
Richard S Varga(
Book
)
2 editions published in 1959 in English and held by 13 WorldCat member libraries worldwide
2 editions published in 1959 in English and held by 13 WorldCat member libraries worldwide
AddisonWesley series in computer science
(
)
in English and held by 13 WorldCat member libraries worldwide
in English and held by 13 WorldCat member libraries worldwide
Funkcional'nyj analiz i teorija approksimacii v čislennom analize
by
Richard S Varga(
Book
)
4 editions published in 1974 in Russian and held by 12 WorldCat member libraries worldwide
4 editions published in 1974 in Russian and held by 12 WorldCat member libraries worldwide
Generalized ultrametric matrices  a class of inverse Mmatrices
by
Reinhard Nabben(
Book
)
3 editions published in 1994 in English and German and held by 11 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 11 WorldCat member libraries worldwide
Padé and Rational Approximation : Theory and Applications : Proceedings of an International Symposium held at the University of South Florida, tampa, Dec. 1517, 1976
(
Book
)
1 edition published in 1977 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1977 in English and held by 10 WorldCat member libraries worldwide
The art of computer programming
by
Donald Ervin Knuth(
Book
)
in English and held by 9 WorldCat member libraries worldwide
Donald Knuth is Professor Emeritus of the Art of Computer Programming at Stanford University, and is wellknown worldwide as the creator of the Tex typesetting language. Here he presents the second volume of his guide to computer programming
in English and held by 9 WorldCat member libraries worldwide
Donald Knuth is Professor Emeritus of the Art of Computer Programming at Stanford University, and is wellknown worldwide as the creator of the Tex typesetting language. Here he presents the second volume of his guide to computer programming
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Related Identities
 Saff, E. B. 1944 Author Editor
 GravesMorris, P. R. Author Editor
 Edrei, Albert Author
 National Science Foundation (U.S.)
 Science and Engineering Research Council (Great Britain)
 Society for Industrial and Applied Mathematics
 Birkhoff, Garrett 19111996 Honoree Author Editor
 American Mathematical Society
 Ruttan, Arden Editor
 Reichel, Lothar 1952 Author Editor
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Associated Subjects
Algebras, Linear Algorithms Analytic functions Approximation theory Canada Chemistry Combinations Combinatorial analysis Computer algorithms Computer programming Computer programs Computers Differentialalgebraic equationsNumerical solutions Differential equations Differential equations, Partial Differential equationsNumerical solutions Eigenvalues Engineering mathematics Field theory (Physics) Functional analysis Functions, Entire Geometric function theory Geršgorin, Semen Aronovich, Global analysis (Mathematics) Information storage and retrieval systems Interpolation Iterative methods (Mathematics) Mathematical physics Mathematics MathematicsData processing Matrices Numerical analysis Numerical calculations Padé approximant Polynomials Power series Problem solvingData processing Programming (Mathematics) Scientists Sorting (Electronic computers) Stiff computation (Differential equations) United States