Varga, Richard S.
Overview
Works:  76 works in 322 publications in 5 languages and 5,713 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Honoree, Other 
Classifications:  QA76.6, 005.1 
Publication Timeline
.
Most widely held works by
Richard S Varga
Matrix iterative analysis by
Richard S Varga(
Book
)
69 editions published between 1962 and 2009 in 3 languages and held by 1,344 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
69 editions published between 1962 and 2009 in 3 languages and held by 1,344 WorldCat member libraries worldwide
Mathematics of Computing  Numerical Analysis
Functional analysis and approximation theory in numerical analysis by
Richard S Varga(
Book
)
36 editions published between 1971 and 1991 in 4 languages and held by 514 WorldCat member libraries worldwide
Annotation
36 editions published between 1971 and 1991 in 4 languages and held by 514 WorldCat member libraries worldwide
Annotation
Rational approximation and interpolation : proceedings of the United KingdomUnited States conference held at Tampa, Florida,
December 1216, 1983 by
P. R GravesMorris(
Book
)
22 editions published in 1984 in 3 languages and held by 409 WorldCat member libraries worldwide
22 editions published in 1984 in 3 languages and held by 409 WorldCat member libraries worldwide
Zeros of sections of power series by
Albert Edrei(
Book
)
17 editions published in 1983 in 3 languages and held by 375 WorldCat member libraries worldwide
17 editions published in 1983 in 3 languages and held by 375 WorldCat member libraries worldwide
Numerical solution of field problems in continuum physics; proceedings of a symposium in applied mathematics by 21st Durham, N.C., 1968 Symposium in Applied Mathematics(
Book
)
13 editions published between 1968 and 1970 in English and held by 350 WorldCat member libraries worldwide
13 editions published between 1968 and 1970 in English and held by 350 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
E. B Saff(
Book
)
17 editions published in 1977 in English and Undetermined and held by 348 WorldCat member libraries worldwide
Pade and Rational Approximation
17 editions published in 1977 in English and Undetermined and held by 348 WorldCat member libraries worldwide
Pade and Rational Approximation
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 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
17 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
Geršgorin and his circles by
Richard S Varga(
Book
)
19 editions published between 2004 and 2011 in English and German and held by 254 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"Provided by publisher
19 editions published between 2004 and 2011 in English and German and held by 254 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"Provided by publisher
Topics in polynomial and rational interpolation and approximation by
Richard S Varga(
Book
)
10 editions published in 1982 in English and Undetermined and held by 201 WorldCat member libraries worldwide
10 editions published in 1982 in English and Undetermined and held by 201 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
)
12 editions published in 1993 in English and held by 115 WorldCat member libraries worldwide
12 editions published in 1993 in English and held by 115 WorldCat member libraries worldwide
Computational methods and function theory : proceedings of a conference, held in Valparaíso, Chile, March 1318, 1989 by
Stephan Ruscheweyh(
)
6 editions published in 1990 in English and Undetermined and held by 41 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
6 editions published in 1990 in English and Undetermined and held by 41 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
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
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 second 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 second volume of his guide to computer programming
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
A sufficient condition for every class of inverse Zmatrices by
Reinhard Nabben(
Book
)
3 editions published in 1994 in English and German and held by 9 WorldCat member libraries worldwide
3 editions published in 1994 in English and German and held by 9 WorldCat member libraries worldwide
A numerical solution for plane elasticity problems by D. S Griffin(
Book
)
2 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
2 editions published in 1962 in English and held by 5 WorldCat member libraries worldwide
Investigations on Improved Iterative Methods for Solving Sparse Systems of Linear Equations(
Book
)
4 editions published between 1980 and 1989 in English and held by 4 WorldCat member libraries worldwide
This research conducted by the principal investigator during the period October 1, 1979 to June 30, 1980, resulted in the following research articles which have either appeared in print, or have been accepted in refereed mathematical journals, in this period: Inequalities for polynomials with a prescribed zero; Theorems of SteinRosenberg Type; On the EnestromKakeya Theorem and Its Sharpness; Bounds for incomplete polynomials vanishing at both endpoints of an interval; HermiteBirkhoff interpolation in the nth roots of unity; Remarks on some conjectures of G.G. Lorentz; On incomplete polynomials. II; Interpolation in the roots of unity: an extension of a Theorem of J.L. Walsh; On the sharpness of some upper bounds for spectral radii of S.O.R. iteration matrices; An extension of the EnestromKakeya Theorem and its sharpness; Lacunary trigonometric interpolation on equidistant nodes
4 editions published between 1980 and 1989 in English and held by 4 WorldCat member libraries worldwide
This research conducted by the principal investigator during the period October 1, 1979 to June 30, 1980, resulted in the following research articles which have either appeared in print, or have been accepted in refereed mathematical journals, in this period: Inequalities for polynomials with a prescribed zero; Theorems of SteinRosenberg Type; On the EnestromKakeya Theorem and Its Sharpness; Bounds for incomplete polynomials vanishing at both endpoints of an interval; HermiteBirkhoff interpolation in the nth roots of unity; Remarks on some conjectures of G.G. Lorentz; On incomplete polynomials. II; Interpolation in the roots of unity: an extension of a Theorem of J.L. Walsh; On the sharpness of some upper bounds for spectral radii of S.O.R. iteration matrices; An extension of the EnestromKakeya Theorem and its sharpness; Lacunary trigonometric interpolation on equidistant nodes
Encyclopaedia of mathematics. Supplement III by
Shreeram Shankar Abhyankar(
)
1 edition published in 2002 in English and held by 0 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
1 edition published in 2002 in English and held by 0 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
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Related Identities
 Saff, E. B. 1944 Other Author Editor
 GravesMorris, P. R. Other Author Editor
 Edrei, Albert Author
 Ruttan, Arden Editor
 Reichel, Lothar 1952 Author Editor
 Society for Industrial and Applied Mathematics Publisher Editor
 National Science Foundation (U.S.)
 Science and Engineering Research Council (Great Britain)
 Birkhoff, Garrett 19111996 Honoree Author Editor
 American Mathematical Society Editor
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Associated Subjects
AlgebraData processing Algebras, Linear Algorithms Analytic functions Approximation theory Assembly languages (Electronic computers) Canada Combinations Combinatorial analysis Computer algorithms Computer programming Computer programs Computers Differential equations, Partial Eigenvalues Elasticity Electronic data processing 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) Mathematics MathematicsData processing Matrices MicrocomputersProgramming MMIX (Computer architecture) Numerical analysis Numerical calculations Padé approximant Partitions (Mathematics) Polynomials Power series Problem solving Problem solvingData processing Programming (Mathematics) Scientists Sorting (Electronic computers) United States
Alternative Names
Richard S. Varga Amerikaans wiskundige
Richard S. Varga amerikansk matematikar
Richard S. Varga amerikansk matematiker
Richard S. Varga mathématicien américain
Richard S. Varga USamerikanischer Mathematiker
Richard Steven Varga
Steven Varga Richard
Varga, R.
Varga, R. 1928
Varga, R. S.
Varga, R. S. 1928
Varga, R. S. (Richard S.)
Varga, R. S. (Richard S.), 1928
Varga, Richard 1928
Varga, Richard S.
Varga, Richard Steven 1928
バーガ, R. S.
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