World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
61
Citations
26766
World Ranking
499
National Ranking
260

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - SIAM Fellow For contributions to matrix analysis, numerical analysis, complex variables, and approximation theory.
  • 1962 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Richard S. Varga was affiliated with Kent State University in the United States. Their research contributions spanned multiple fields, including Computer Science, Materials Science, and Mathematics.

The scientist authored publications across distinct subfields such as Computational Theory and Mathematics, Electronic, Optical and Magnetic Materials, and Algebra and Number Theory.

Their work encompassed several main topics including:

  • Matrix Theory and Algorithms
  • Magnetism in coordination complexes
  • Advanced Topics in Algebra

A notable recent publication by Richard S. Varga was titled "Application of the Schur-Cohn Theorem to the precise convergence domain for a p-cyclic SOR iteration matrix", published in 2024 in the ETNA - Electronic Transactions on Numerical Analysis.

The scientist collaborated with co-authors such as:

  • A. Hadjidimos
  • Xiezhang Li

The publication venues for their work included:

  • ETNA - Electronic Transactions on Numerical Analysis

Throughout their career, Richard S. Varga received several recognitions, including:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2012) for contributions to matrix analysis, numerical analysis, complex variables, and approximation theory
  • Fellow of John Simon Guggenheim Memorial Foundation (1962)

Best Publications

  • Matrix iterative analysis

    Richard S. Varga

  • Proof of Theorem 2

    Albert Edrei;Edward B. Saff;Richard S. Varga

  • Proof of Theorem 4

    Albert Edrei;Edward B. Saff;Richard S. Varga

  • Geršgorin and his circles

    Richard S. Varga

  • Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem

    David G. Feingold;Richard S. Varga

  • Proof of Theorem 5

    Albert Edrei;Edward B. Saff;Richard S. Varga

  • Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods

    Gene H. Golub;Richard S. Varga

  • Numerical methods of high-order accuracy for nonlinear boundary value problems

    P. G. Ciarlet;M. H. Schultz;R. S. Varga

  • Piecewise Hermite interpolation in one and two variables with applications to partial differential equations

    G. Birkhoff;M. H. Schultz;R. S. Varga

  • On recurring theorems on diagonal dominance

    Richard S. Varga

  • Matrix Iterative Analysis

    Richard S. Varga;J. Gillis

  • Functional Analysis and Approximation Theory in Numerical Analysis

    Richard S. Varga

  • L-Splines

    M. H. Schultz;R. S. Varga

  • Alternating Direction Implicit Methods

    Garrett Birkhoff;Richard S. Varga;David Young

  • Proof of Theorem 6

    Albert Edrei;Edward B. Saff;Richard S. Varga

  • Chebyshev rational approximations to e−x in [0, +∞) and applications to heat-conduction problems

    W.J Cody;G Meinardus;R.S Varga

  • Error bounds for spline and L-spline interpolation

    Blair K Swartz;Blair K Swartz;Richard S Varga;Richard S Varga

  • Application of Oscillation Matrices to Diffusion-Convection Equations

    Harvey S. Price;Richard S. Varga;Joseph E. Warren

  • Matrix Iterative Analysis

    J. H. Bramble;Richard S. Varga

  • Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods

    Unknown

  • CBMS-NSF REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS

    Garrett Birkhoff;D. V. Lindley;R. S. Varga;Patrick Billingsley

  • Extrapolation methods: theory and practice: C. Brezinski and M. Redivozaglia studies in computational mathematics 2 North-Holland, Amsterdam, 1991

    Richard S. Varga

Frequent Co-Authors

Edward B. Saff
Edward B. Saff Vanderbilt University
Philippe G. Ciarlet
Philippe G. Ciarlet City University of Hong Kong
Garrett Birkhoff
Garrett Birkhoff Harvard University
Gene H. Golub
Gene H. Golub Stanford University
Michael Neumann
Michael Neumann University of Connecticut
Walter Gautschi
Walter Gautschi Purdue University West Lafayette
Alessandro Rizzo
Alessandro Rizzo Polytechnic University of Turin
Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Roger Penrose
Roger Penrose University of Oxford
Mattia Frasca
Mattia Frasca University of Catania

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