Varga, Richard S.
Overview
Works:  89 works in 292 publications in 5 languages and 5,408 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Editor, Honoree 
Classifications:  QA76.6, 005.1 
Publication Timeline
.
Most widely held works by
Richard S Varga
Matrix iterative analysis by
Richard S Varga(
Book
)
64 editions published between 1962 and 2009 in 3 languages and held by 1,345 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
64 editions published between 1962 and 2009 in 3 languages and held by 1,345 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
Functional analysis and approximation theory in numerical analysis by
Richard S Varga(
Book
)
31 editions published between 1971 and 1991 in 4 languages and held by 495 WorldCat member libraries worldwide
Annotation
31 editions published between 1971 and 1991 in 4 languages and held by 495 WorldCat member libraries worldwide
Annotation
Zeros of sections of power series by
Albert Edrei(
Book
)
16 editions published in 1983 in English and German and held by 372 WorldCat member libraries worldwide
16 editions published in 1983 in English and German and held by 372 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
)
15 editions published in 1984 in English and German and held by 366 WorldCat member libraries worldwide
15 editions published in 1984 in English and German and held by 366 WorldCat member libraries worldwide
Scientific computation on mathematical problems and conjectures by
Richard S Varga(
Book
)
14 editions published between 1990 and 1994 in English and Chinese and held by 337 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
14 editions published between 1990 and 1994 in English and Chinese and held by 337 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 solution of field problems in continuum physics; proceedings of a symposium in applied mathematics by Symposium in Applied Mathematics(
Book
)
4 editions published in 1970 in English and held by 332 WorldCat member libraries worldwide
4 editions published in 1970 in English and held by 332 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 284 WorldCat member libraries worldwide
7 editions published in 1977 in English and Undetermined and held by 284 WorldCat member libraries worldwide
Geršgorin and his circles by
Richard S Varga(
Book
)
18 editions published between 2004 and 2011 in English and German and held by 243 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
18 editions published between 2004 and 2011 in English and German and held by 243 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
Numerical linear algebra : proceedings of the Conference in Numerical Linear Algebra and Scientific Computation, Kent (Ohio),
USA, March 1314, 1992 by
Lothar Reichel(
Book
)
9 editions published in 1993 in English and held by 106 WorldCat member libraries worldwide
9 editions published in 1993 in English and held by 106 WorldCat member libraries worldwide
Padé and rational approximation : theory and applications by
E. B Saff(
Book
)
7 editions published in 1977 in English and held by 54 WorldCat member libraries worldwide
Pade and Rational Approximation
7 editions published in 1977 in English and held by 54 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 one on multistep methods and general linear methods for stiff problems, and a third one on the treatment of singular perturbation problems and differentialalgebraic systems. The beginning of each chapter is of an introductory nature, followed by practical applications, the discusssion of numerical results, theoretical investigations on the order of 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 sytems). Many applications as well as computer programmes are presented
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 one on multistep methods and general linear methods for stiff problems, and a third one on the treatment of singular perturbation problems and differentialalgebraic systems. The beginning of each chapter is of an introductory nature, followed by practical applications, the discusssion of numerical results, theoretical investigations on the order of 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 sytems). Many applications as well as computer programmes are presented
AddisonWesley series in computer science(
)
in English and held by 15 WorldCat member libraries worldwide
in English and held by 15 WorldCat member libraries worldwide
Iterative numerical analysis by
Richard S Varga(
Book
)
2 editions published in 1959 in English and held by 12 WorldCat member libraries worldwide
2 editions published in 1959 in English 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
The art of computer programming by
Donald Ervin Knuth(
Book
)
in English and held by 11 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 third volume of his guide to computer programming
in English and held by 11 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 third volume of his guide to computer programming
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
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 56, 1968(
)
1 edition published in 1970 in English and held by 10 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 10 WorldCat member libraries worldwide
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 5 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 5 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
Encyclopaedia of mathematics. Supplement III by
Shreeram Shankar Abhyankar(
Book
)
2 editions published in 2002 in English and held by 1 WorldCat member library 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 1 WorldCat member library 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
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Related Identities
 Saff, E. B. 1944 Author Editor
 GravesMorris, P. R. Author Editor
 Edrei, Albert Author
 Society for Industrial and Applied Mathematics
 National Science Foundation (U.S.)
 Science and Engineering Research Council (Great Britain)
 Ruttan, Arden Editor
 Birkhoff, Garrett 19111996 Honoree Author Editor
 Reichel, Lothar 1952 Author Editor
 American Mathematical Society
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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 Electronic data processing 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 Partitions (Mathematics) Polynomials Power series Problem solving Problem solvingData processing Programming (Mathematics) Scientists Sorting (Electronic computers) Stiff computation (Differential equations) United States
Alternative Names
Richard S. Varga amerikansk matematikar
Richard S. Varga amerikansk matematiker
Richard S. Varga mathmaticien amricain
Richard S. Varga USamerikanischer Mathematiker
Richard Steven Varga
Steven Varga Richard
Varga, R.
Varga, R. S.
Varga, R. S. 1928
Varga, R. S. (Richard S.)
Varga, R. S. (Richard S.), 1928
Varga, Richard S.
バーガ, R. S.
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