Richard S. Varga

16.8k total citations · 3 hit papers
115 papers, 9.2k citations indexed

About

Richard S. Varga is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Applied Mathematics. According to data from OpenAlex, Richard S. Varga has authored 115 papers receiving a total of 9.2k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Computational Theory and Mathematics, 35 papers in Numerical Analysis and 34 papers in Applied Mathematics. Recurrent topics in Richard S. Varga's work include Matrix Theory and Algorithms (42 papers), Mathematical functions and polynomials (20 papers) and Advanced Optimization Algorithms Research (18 papers). Richard S. Varga is often cited by papers focused on Matrix Theory and Algorithms (42 papers), Mathematical functions and polynomials (20 papers) and Advanced Optimization Algorithms Research (18 papers). Richard S. Varga collaborates with scholars based in United States, Germany and United Kingdom. Richard S. Varga's co-authors include James H. Bramble, Gene H. Golub, Garrett Birkhoff, George Csordás, J. Gillis, Blair Swartz, Edward B. Saff, Walter Gautschi, Reinhard Nabben and Joseph E. Warren and has published in prestigious journals such as Physics Today, Mathematics of Computation and Journal of the ACM.

In The Last Decade

Richard S. Varga

112 papers receiving 7.7k citations

Hit Papers

Matrix Iterative Analysis 1963 2026 1984 2005 1963 2000 2004 1000 2.0k 3.0k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Matrix Iterative Analysis
    1963 3.2k citations James H. Bramble, Richard S. Varga Mathematics of Computation profile →
  2. Matrix Iterative Analysis
    2000 2.3k citations Richard S. Varga profile →
  3. Geršgorin and His Circles
    2004 396 citations Richard S. Varga profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Richard S. Varga United States 32 4.7k 3.6k 2.1k 1.3k 1.2k 115 9.2k
Peter Lancaster Canada 36 3.8k 0.8× 2.2k 0.6× 1.5k 0.7× 1.1k 0.8× 955 0.8× 184 10.3k
J. H. Wilkinson United Kingdom 37 5.9k 1.3× 3.2k 0.9× 1.7k 0.8× 1.2k 0.9× 1.7k 1.4× 96 13.0k
G. W. Stewart United States 45 4.8k 1.0× 2.5k 0.7× 1.9k 0.9× 1.1k 0.8× 1.4k 1.2× 152 11.5k
Peter Henrici United States 27 2.2k 0.5× 2.4k 0.7× 1.2k 0.6× 1.2k 0.9× 726 0.6× 80 6.4k
Josef Stoer Germany 27 2.4k 0.5× 2.4k 0.7× 1.6k 0.7× 755 0.6× 936 0.8× 77 9.0k
Harald Niederreiter Austria 37 3.3k 0.7× 4.7k 1.3× 787 0.4× 1.4k 1.1× 2.5k 2.1× 275 14.0k
James H. Bramble United States 48 5.7k 1.2× 3.2k 0.9× 7.1k 3.3× 762 0.6× 2.3k 2.0× 169 11.2k
Adi Ben-Israel United States 30 3.3k 0.7× 1.9k 0.5× 454 0.2× 870 0.7× 675 0.6× 114 6.1k
Stephen L. Campbell United States 37 3.0k 0.6× 2.9k 0.8× 880 0.4× 614 0.5× 690 0.6× 223 8.0k
Magnus R. Hestenes United States 17 3.4k 0.7× 2.7k 0.8× 2.4k 1.1× 464 0.4× 806 0.7× 32 9.1k

Countries citing papers authored by Richard S. Varga

Since Specialization
Citations

This map shows the geographic impact of Richard S. Varga's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Richard S. Varga with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard S. Varga more than expected).

Fields of papers citing papers by Richard S. Varga

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard S. Varga. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Richard S. Varga. The network helps show where Richard S. Varga may publish in the future.

Co-authorship network of co-authors of Richard S. Varga

This figure shows the co-authorship network connecting the top 25 collaborators of Richard S. Varga. A scholar is included among the top collaborators of Richard S. Varga based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Richard S. Varga. Richard S. Varga is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Noutsos, D. & Richard S. Varga. (2012). On the Perron–Frobenius theory for complex matrices. Linear Algebra and its Applications. 437(4). 1071–1088. 10 indexed citations
2.
Varga, Richard S., et al.. (2005). Singular value decomposition Geršgorin sets. Linear Algebra and its Applications. 417(2-3). 370–380. 5 indexed citations
3.
Varga, Richard S.. (2001). Gersgorin-type eigenvalue inclusion theorems and their sharpness.. 12. 113–133. 12 indexed citations
4.
Varga, Richard S., et al.. (2000). Zeros of the partial sums of cos (z) and sin (z). I. Numerical Algorithms. 25(1-4). 363–375. 7 indexed citations
5.
Varga, Richard S., et al.. (1999). On Geršgorin-type problems and ovals of cassini.. 8. 15–20. 14 indexed citations
6.
Manteuffel, Thomas A., Gerhard Starke, & Richard S. Varga. (1995). Adaptive -step iterative methods for nonsymmetric systems of linear equations.. 3. 50–65. 4 indexed citations
7.
Eiermann, Michael & Richard S. Varga. (1993). ZEROS AND LOCAL EXTREME POINTS OF FABER POLYNOMIALS ASSOCIATED WITH HYPOCYCLOIDAL DOMAINS. 1. 49–71. 16 indexed citations
8.
Varga, Richard S., et al.. (1993). NUMERICAL RESULTS ON BEST UNIFORM RATIONAL APPROXIMATION OF $ \vert x\vert$ ON $ \lbrack-1,\,+1\rbrack$. Mathematics of the USSR-Sbornik. 74(2). 271–290. 13 indexed citations
9.
Reichel, Lothar, et al.. (1993). Numerical Linear Algebra. 78 indexed citations
10.
Varga, Richard S.. (1977). A note on an open question on ω- and τ- Matrices. Linear Algebra and its Applications. 18(1). 45–52. 6 indexed citations
11.
Carlson, David & Richard S. Varga. (1973). Minimal G-functions. Linear Algebra and its Applications. 6. 97–117. 14 indexed citations
12.
Swartz, Blair & Richard S. Varga. (1972). Error bounds for spline and L-spline interpolation. Journal of Approximation Theory. 6(1). 6–49. 97 indexed citations
13.
Varga, Richard S.. (1971). The Role of Interpolation and Approximation Theory in Variational and Projectional Methods for Solving Partial Differential Equations.. IFIP Congress. 1185–1190. 3 indexed citations
14.
Meinardus, Günter & Richard S. Varga. (1970). Chebyshev rational approximations to certain entire functions in [0, + ∞). Journal of Approximation Theory. 3(3). 300–309. 18 indexed citations
15.
Varga, Richard S.. (1968). On an extension of a result of S. N. Bernstein. Journal of Approximation Theory. 1(2). 176–179. 28 indexed citations
16.
17.
Hageman, L. A. & Richard S. Varga. (1964). Block iterative methods for cyclically reduced matrix equations. Numerische Mathematik. 6(1). 106–119. 19 indexed citations
18.
Bramble, James H. & Richard S. Varga. (1963). Matrix Iterative Analysis. Mathematics of Computation. 17(83). 310–310. 3206 indexed citations breakdown →
19.
Birkhoff, Garrett & Richard S. Varga. (1959). Implicit Alternating Direction Methods. Transactions of the American Mathematical Society. 92(1). 13–13. 13 indexed citations
20.
Varga, Richard S., et al.. (1958). On Powers of Non-Negative Matrices. Proceedings of the American Mathematical Society. 9(4). 631–631. 11 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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