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Varga, Richard Steven

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Author ID: varga.richard-s Recent zbMATH articles by "Varga, Richard Steven"
Published as: Varga, R. S.; Varga, Richard S.; Varga, Richard; Varga’, Richard
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Documents Indexed: 260 Publications since 1952, including 16 Books
Biographic References: 4 Publications
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Co-Authors

49 single-authored
40 Saff, Edward Barry
15 Carpenter, Amos J.
13 Csordas, George
13 Sharma, Ambikeshwar
10 Pritsker, Igor E.
9 Niethammer, Wilhelm
9 Ruttan, Arden
8 Schultz, Martin H.
7 Ciarlet, Philippe Gaston
7 Eiermann, Michael
6 Birkhoff, Garrett
6 Szabados, Jozsef
5 Cavaretta, Alfred S. jun.
5 Nabben, Reinhard
4 Cvetković, Ljiljana
4 Kostić, Vladimir R.
4 Meinardus, Gunter
4 Smith, Wayne Stewart
3 Andrievskii, Vladimir V.
3 Buoni, John J.
3 Cai, Dayong
3 Carlson, David Hilding
3 de Bruin, Marcel G.
3 Kammerer, William J.
3 Levinger, Bernard W.
3 Norfolk, Timothy S.
3 Price, Harvey S.
3 Ruscheweyh, Stephan
3 Swartz, Blair K.
2 Brück, Rainer
2 Demko, Stephen G.
2 Gautschi, Walter
2 Golub, Gene Howard
2 Herbold, R. J.
2 Krautstengl, Alan
2 Lachance, Michael A.
2 Li, Xiezhang
2 Medley, H. I.
2 Neumann, Michael
2 Pierce, John G.
2 Reddien, George W. jun.
2 Reddy, A. R.
2 Roulier, John A.
2 Schönhage, Arnold
2 Smithies, Laura
2 Starke, Gerhard
2 Taylor, Gerald D.
1 Alefeld, Götz E.
1 Barnard, Roger W.
1 Brezinski, Claude
1 Cavendish, James C.
1 Cody, William J. jun.
1 Culham, W. E.
1 Cuthill, Elizabeth H.
1 de Pillis, John
1 Douglas, Jim jun.
1 Edrei, Albert
1 Elsner, Ludwig F.
1 Engel, Gernot Michael
1 Feingold, D. G.
1 Fontes, Natacha
1 Goldberg, Richard R.
1 Graves-Morris, Peter R.
1 Griffin, D. S.
1 Gutknecht, Martin H.
1 Hageman, Louis A.
1 Hedstrom, G. W.
1 Hoffman, Alan J.
1 Holladay, John C.
1 Householder, Alston Scott
1 Jerome, Joseph W.
1 Kellogg, Bruce
1 Kincaid, David Ronald
1 Kover, Janice
1 Krautstengel, Alan
1 Kroó, András
1 Lewis, Bryan W.
1 Ling, William H.
1 Manteuffel, Thomas A.
1 Marek, Ivo
1 Mehrmann, Volker
1 Moak, Daniel S.
1 Natterer, Frank
1 Neumaier, Arnold
1 Noutsos, Dimitrios
1 Odlyzko, Andrew M.
1 Pearce, Kent
1 Perrin, F. M.
1 Rahman, Qazi Ibadur
1 Reichel, Lothar
1 Rigler, A. K.
1 Rizzo, Alessandro
1 Rodrigue, Garry H.
1 Salinas, Luis Carrasco
1 Sharma, A. jun.
1 Todd, John
1 Trimble, Selden Y.
1 Tychopoulos, E.
1 Ullman, Joseph L.
1 Vichnevetsky, Robert
...and 7 more Co-Authors
all top 5

Serials

42 Numerische Mathematik
22 Linear Algebra and its Applications
13 Journal of Approximation Theory
11 ETNA. Electronic Transactions on Numerical Analysis
10 Pacific Journal of Mathematics
9 SIAM Journal on Numerical Analysis
8 Transactions of the American Mathematical Society
6 Constructive Approximation
5 Analysis
5 Numerical Algorithms
3 Rocky Mountain Journal of Mathematics
3 Results in Mathematics
3 Applied Numerical Mathematics
3 Numerical Linear Algebra with Applications
3 Journal of the Society for Industrial & Applied Mathematics
3 Journal of Mathematics and Physics
3 Lecture Notes in Mathematics
3 Springer Series in Computational Mathematics
2 Indagationes Mathematicae
2 Journal of Computational and Applied Mathematics
2 Mathematische Zeitschrift
2 Proceedings of the American Mathematical Society
2 SIAM Journal on Matrix Analysis and Applications
2 Aequationes Mathematicae
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Mathematics of the USSR, Sbornik
2 SIAM Journal on Mathematical Analysis
2 Bulletin of the American Mathematical Society
2 CBMS-NSF Regional Conference Series in Applied Mathematics
1 American Mathematical Monthly
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematics of Computation
1 Acta Scientiarum Mathematicarum
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the Association for Computing Machinery
1 RAIRO. Analyse Numérique
1 Studia Scientiarum Mathematicarum Hungarica
1 Advances in Applied Mathematics
1 Complex Variables. Theory and Application
1 SIAM Journal on Algebraic and Discrete Methods
1 Acta Mathematica Hungarica
1 Journal of Computational Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Matematicheskiĭ Sbornik
1 Annals of Numerical Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 RIMS Kokyuroku
1 Information
1 Computational Methods and Function Theory
1 Advances in Computers
1 Trudy Seminara Metody Vychislitel’noĭ i Prikladnoĭ Matematiki

Publications by Year

Citations contained in zbMATH Open

212 Publications have been cited 5,768 times in 4,317 Documents Cited by Year
Matrix iterative analysis. Zbl 0133.08602
Varga, Richard S.
1962
Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505
Varga, Richard S.
291
2000
Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042
Varga, Richard S.
142
2009
Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903
Golub, Gene H.; Varga, Richard S.
117
1961
Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
111
1967
Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Zbl 0159.20904
Birkhoff, G.; Schultz, M. H.; Varga, R. S.
111
1968
Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem. Zbl 0109.24802
Feingold, D. G.; Varga, R. S.
107
1962
Geršgorin and his circles. Zbl 1057.15023
Varga, Richard S.
106
2004
On recurring theorems on diagonal dominance. Zbl 0336.15007
Varga, Richard S.
102
1976
L-splines. Zbl 0183.44402
Schultz, M. H.; Varga, R. S.
83
1967
Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040
Gautschi, Walter; Varga, Richard S.
72
1983
Functional analysis and approximation theory in numerical analysis. Zbl 0226.65064
Varga, R. S.
63
1971
The analysis of k-step iterative methods for linear systems from summability theory. Zbl 0487.65018
Niethammer, W.; Varga, R. S.
58
1983
Alternating direction implicit methods. Zbl 0111.31402
Birkhoff, G.; Varga, R. S.; Young, David
53
1962
Error bounds for spline and L-spline interpolation. Zbl 0242.41008
Swartz, Blair K.; Varga, Richard S.
53
1972
Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
50
1969
A study of semiiterative methods for nonsymmetric systems of linear equations. Zbl 0585.65025
Eiermann, M.; Niethammer, W.; Varga, R. S.
49
1985
Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems. Zbl 0187.11602
Cody, W. J.; Meinardus, G.; Varga, R. S.
48
1969
\(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme. Zbl 0088.09402
Varga, Richard S.
45
1959
Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103
Ciarlet, P. G.; Natterer, F.; Varga, R. S.
44
1970
Convergence of block iterative methods applied to sparse least-squares problems. Zbl 0565.65019
Niethammer, W.; de Pillis, J.; Varga, R. S.
42
1984
On higher order stable implicit methods for solving parabolic partial differential equations. Zbl 0106.10805
Varga, Richard S.
41
1961
Comparisons of regular splittings of matrices. Zbl 0556.65024
Csordas, George; Varga, Richard S.
41
1984
Quadratic interpolatory splines. Zbl 0271.65006
Kammerer, W. J.; Reddien, G. W.; Varga, R. S.
40
1974
Application of oscillation matrices to diffusion-convection equations. Zbl 0143.38301
Price, Harvey S.; Varga, Richard S.; Warren, Joseph E.
39
1966
A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016
Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S.
37
2004
On powers of non-negative matrices. Zbl 0096.00805
Holladay, John C.; Varga, Richard S.
36
1958
Discretization errors for well-set Cauchy problems. I. Zbl 0134.13406
Birkhoff, G.; Varga, R. S.
36
1965
Minimal Gerschgorin sets. Zbl 0168.02904
Varga, R. S.
36
1965
A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix. Zbl 0803.15020
Nabben, Reinhard; Varga, Richard S.
33
1994
A comparison of the successive overrelaxation method and semi-iterative methods using Chebyshev polynomials. Zbl 0080.10701
Varga, Richard S.
32
1957
On a discrete maximum principle. Zbl 0143.17603
Varga, R. S.
32
1966
On the zeros and poles of Padè approximants to \(e^z\). III. Zbl 0438.41015
Saff, E. B.; Varga, R. S.
30
1978
p-cyclic matrices and the symmetric successive overrelaxation method. Zbl 0569.65022
Varga, R. S.; Niethammer, W.; Cai, D.-Y.
30
1984
Necessary and sufficient conditions and the Riemann hypothesis. Zbl 0707.11062
Csordas, George; Varga, Richard S.
30
1990
Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions. Zbl 0181.18303
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
29
1968
The Riemann hypothesis and the Turán inequalities. Zbl 0602.30030
Csordas, George; Norfolk, Timothy S.; Varga, Richard S.
29
1986
On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\). Zbl 0341.15002
Varga, Richard S.
28
1976
Reactor criticality and nonnegative matrices. Zbl 0086.23301
Birkhoff, Garrett; Varga, Richard S.
27
1958
On the zeros and poles of Padé approximants to \(e^z\). Zbl 0322.41010
Saff, E. B.; Varga, R. S.
26
1975
A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019
Gautschi, Walter; Tychopoulos, E.; Varga, R. S.
26
1990
Interpolation in the roots of unity: An extension of a theorem of J. L. Walsh. Zbl 0447.30020
Cavaretta, A. S. jun.; Sharma, A.; Varga, R. S.
25
1980
Generalized ultrametric matrices – a class of inverse \(M\)-matrices. Zbl 0828.15020
Nabben, Reinhard; Varga, Richard S.
23
1995
Generalizations of spline functions and applications to nonlinear boundary value and eigenvalue problems. Zbl 0188.13004
Jerome, J. W.; Varga, R. S.
23
1969
Zeros of sections of power series. Zbl 0507.30001
Edrei, Albert; Saff, Edward B.; Varga, Richard S.
23
1983
A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations. Zbl 0795.65015
Starke, Gerhard; Varga, Richard S.
22
1993
Iterative methods for solving matrix equations. Zbl 0151.21402
Varga, R. S.
22
1965
Zero-free parabolic regions for sequences of polynomials. Zbl 0332.30001
Saff, E. B.; Varga, R. S.
22
1976
Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Zbl 0569.65021
Neumaier, A.; Varga, R. S.
22
1984
Implicit alternating direction methods. Zbl 0093.31201
Birkhoff, Garrett; Varga, Richard S.
21
1959
On the Eneström-Kakeya theorem and its sharpness. Zbl 0423.15007
Anderson, N.; Saff, E. B.; Varga, R. S.
21
1979
Factorization and normalized iterative methods. Zbl 0100.12501
Varga, Richard S.
20
1960
On the zeros of Jacobi polynomials \(P_n^{(\alpha_n,\beta_n)}(x)\). Zbl 0414.33009
Moak, D. S.; Saff, E. B.; Varga, R. S.
20
1979
On an extension of a result of S. N. Bernstein. Zbl 0177.08803
Varga, R. S.
19
1968
Theorems of Stein-Rosenberg type. Zbl 0412.65016
Buoni, John J.; Varga, Richard S.
19
1979
Zur Konvergenz des symmetrischen Relaxationsverfahrens. Zbl 0319.65030
Alefeld, G.; Varga, R. S.
19
1976
On hybrid semi-iterative methods. Zbl 0669.65020
Eiermann, M.; Li, X.; Varga, R. S.
19
1989
Nonuniqueness of best approximating complex rational functions. Zbl 0348.41020
Saff, E. B.; Varga, R. S.
18
1977
Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008
Eiermann, Michael; Varga, Richard S.
18
1993
On higher-order numerical methods for nonlinear two-point boundary value problems. Zbl 0183.44501
Perrin, F. M.; Price, H. S.; Varga, R. S.
18
1969
Chebyshev rational approximations to certain entire functions in \([0,+\infty)\). Zbl 0213.08704
Meinardus, Günter; Varga, Richard S.
17
1970
Theorems of Stein-Rosenberg type. III. The singular case. Zbl 0487.65017
Buoni, John J.; Neumann, Michael; Varga, Richard S.
17
1982
\(\mathcal A\mathcal L\wp\mathcal S\): Matrices with nonpositive off-diagonal entries. Zbl 0401.15018
Berman, A.; Varga, R. S.; Ward, R. C.
16
1978
Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in \([0, + \infty)\). Zbl 0279.41010
Meinardus, G.; Reddy, A. R.; Taylor, G. D.; Varga, R. S.
16
1972
Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Estimates relating Rayleigh-Ritz and Galerkin approximations to eigenfunctions. Zbl 0301.65063
Pierce, J. G.; Varga, R. S.
16
1972
On the LU factorization of M-matrices. Zbl 0477.65021
Varga, Richard S.; Cai, Da-Yong
15
1981
On the Bernstein conjecture in approximation theory. Zbl 0648.41013
Varga, Richard S.; Carpenter, Amos J.
15
1985
Geometric convergence to \(e^{-z}\) by rational functions with real poles. Zbl 0307.65025
Saff, E. B.; Schönhage, A.; Varga, R. S.
15
1976
A lower bound for the de Bruijn-Newman constant \(\Lambda^*\). Zbl 0663.65017
Csordas, G; Norfolk, T. S.; Varga, R. S.
15
1988
Scientific computation on mathematical problems and conjectures. Zbl 0703.65004
Varga, Richard S.
14
1990
Acceleration of relaxation methods for non-Hermitian linear systems. Zbl 0757.65032
Eiermann, M.; Niethammer, W.; Varga, R. S.
14
1992
On symmetric ultrametric matrices. Zbl 0798.15029
Varga, Richard S.; Nabben, Reinhard
14
1993
Minimal G-functions. Zbl 0246.15009
Carlson, David H.; Varga, Richard S.
14
1973
Incomplete factorizations of matrices and connections with H-matrices. Zbl 0477.65020
Varga, R. S.; Saff, E. B.; Mehrmann, V.
13
1980
A method of normalized block iteration. Zbl 0088.09403
Cuthill, Elizabeth H.; Varga, Richard S.
13
1959
On smallest isolated Gerschgorin disks for eigenvalues. Zbl 0131.14204
Varga, R. S.
13
1964
Minimal Gerschgorin sets. II. Zbl 0168.03001
Levinger, B. W.; Varga, R. S.
13
1966
Error bounds for semidiscrete Galerkin approximations of parabolic problems with applications to petroleum reservoir mechanics. Zbl 0218.76092
Price, H. S.; Varga, R. S.
13
1970
Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Improved error bounds for eigenfunctions. Zbl 0223.65080
Pierce, J. G.; Varga, R. S.
13
1972
Topics in polynomial and rational interpolation and approximation. Zbl 0484.30023
Varga, Richard S.
13
1982
A note on the sharpness of J. L. Walsh’s theorem and its extensions for interpolation in the roots of unity. Zbl 0524.30026
Saff, E. B.; Varga, R. S.
13
1983
Extended numerical computations on the ”1/9” conjecture in rational approximation theory. Zbl 0553.41022
Carpenter, A. J.; Ruttan, A.; Varga, R. S.
13
1984
Asymptotics for the zeros of the partial sums of \(e^ z\). I. Zbl 0734.30008
Carpenter, A. J.; Varga, R. S.; Waldvogel, J.
13
1991
Incomplete polynomials: an electrostatics approach. Zbl 0479.41016
Saff, E. B.; Ullman, J. L.; Varga, R. S.
12
1980
Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis. Zbl 0792.30020
Csordas, George; Smith, Wayne; Varga, Richard S.
12
1994
Nonuniqueness of best complex rational approximations to real functions on real intervals. Zbl 0375.41008
Saff, E. B.; Varga, R. S.
12
1978
The sharpness of Lorentz’s theorem on incomplete polynomials. Zbl 0414.41009
Saff, E. B.; Varga, R. S.
12
1979
An extension of the Eneström-Kakeya theorem and its sharpness. Zbl 0455.30006
Anderson, N.; Saff, E. B.; Varga, R. S.
12
1981
Moment inequalities and the Riemann hypothesis. Zbl 0696.30007
Csordas, George; Varga, Richard S.
12
1988
Discrete variational Green’s function. Zbl 0245.34012
Ciarlet, P. G.; Varga, R. S.
11
1970
A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices. Zbl 0678.65021
Li, Xiezhang; Varga, Richard S.
11
1989
The Szegő curve, zero distribution and weighted approximation. Zbl 1114.30312
Pritsker, Igor E.; Varga, Richard S.
10
1997
Geršgorin-type localizations of generalized eigenvalues. Zbl 1224.65094
Kostić, Vladimir; Cvetković, Ljiljana; Varga, Richard S.
10
2009
Numerical methods of high-order accuracy for nonlinear boundary value problems. II: Nonlinear boundary conditions. Zbl 0176.14901
Ciarlet, P. G.; Schultz, M. H.; Varga, R. S.
10
1968
On the zeros and poles of Padé approximants to \(e^z\). II. Zbl 0377.41016
Saff, E. B.; Varga, R. S.
10
1977
On incomplete polynomials. II. Zbl 0424.41004
Saff, E. B.; Varga, R. S.
10
1981
On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices. Zbl 0453.65021
Neumann, Michael; Varga, Richard S.
10
1980
On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004
de Bruin, M. G.; Saff, E. B.; Varga, R. S.
10
1981
Nested bounds for the spectral radius. Zbl 0221.65063
Marek, Ivo; Varga, Richard S.
10
1969
The effect of quadrature errors in the numerical solution of boundary value problems by variational techniques. Zbl 0196.17601
Herbold, R. J.; Schultz, M. H.; Varga, R. S.
9
1969
On the Perron-Frobenius theory for complex matrices. Zbl 1321.65050
Noutsos, Dimitrios; Varga, Richard S.
6
2012
Localization of generalized eigenvalues by Cartesian ovals. Zbl 1274.65107
Kostić, V.; Varga, R. S.; Cvetković, L.
2
2012
Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). III. Zbl 1195.30010
Varga, Richard S.; Carpenter, Amos J.
3
2010
Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042
Varga, Richard S.
142
2009
Geršgorin-type localizations of generalized eigenvalues. Zbl 1224.65094
Kostić, Vladimir; Cvetković, Ljiljana; Varga, Richard S.
10
2009
Approximation of the minimal Geršgorin set of a square complex matrix. Zbl 1188.15008
Varga, Richard S.; Cvetković, Ljiljana; Kostić, Vladimir
5
2008
The dynamical motion of the zeros of the partial sums of \(e^{z}\), and its relationship to discrepancy theory. Zbl 1175.30010
Varga, Richard S.; Carpenter, Amos J.; Lewis, Bryan W.
1
2008
Singular value decomposition normally estimated Geršgorin sets. Zbl 1171.15304
Fontes, Natacha; Kover, Janice; Smithies, Laura; Varga, Richard S.
1
2007
Angular distribution of zeros of the partial sums of \(e^z\) via the solution of inverse logarithmic potential problem. Zbl 1116.30024
Andrievskii, Vladimir V.; Carpenter, Amos J.; Varga, Richard S.
2
2006
Singular value decomposition Geršgorin sets. Zbl 1101.15017
Smithies, Laura; Varga, Richard S.
1
2006
Geršgorin and his circles. Zbl 1057.15023
Varga, Richard S.
106
2004
A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016
Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S.
37
2004
Geršgorin-type eigenvalue inclusion theorems and their sharpness. Zbl 0979.15015
Varga, Richard S.
7
2001
Simultaneous approximation and interpolation of functions on continua in the complex plane. Zbl 1033.30027
Andrievskii, Vladimir V.; Pritsker, Igor E.; Varga, Richard S.
3
2001
Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). II. Zbl 0994.30008
Varga, Richard S.; Carpenter, Amos J.
3
2001
Gerschgorin disks, Brauer ovals of Cassini (a vindication), and Brualdi sets. Zbl 1046.15021
Varga, Richard S.
2
2001
On zeros of polynomials orthogonal over a convex domain. Zbl 0990.30003
Andrievskii, V. V.; Pritsker, I. E.; Varga, R. S.
2
2001
Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505
Varga, Richard S.
291
2000
Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). I. Zbl 0970.30006
Varga, Richard S.; Carpenter, Amos J.
2
2000
On Geršgorin-type problems and ovals of cassini. Zbl 0927.15008
Varga, Richard S.; Krautstengel, Alan
8
1999
Hardy’s inequality and ultrametric matrices. Zbl 0952.15011
Todd, John; Varga, Richard S.
2
1999
Weighted rational approximation in the complex plane. Zbl 0932.30036
Pritsker, I. E.; Varga, R. S.
1
1999
Weighted polynomial approximation in the complex plane. Zbl 0920.30028
Pritsker, I. E.; Varga, R. S.
2
1998
Zero distribution, the Szegő curve, and weighted polynomial approximation in the complex plane. Zbl 0926.30024
Pritsker, I. E.; Varga, R. S.
1
1998
The Szegő curve, zero distribution and weighted approximation. Zbl 1114.30312
Pritsker, Igor E.; Varga, Richard S.
10
1997
On a counterexample in the theory of polynomials having concentration at low degrees. Zbl 0863.30002
Varga, Richard S.; Pritsker, Igor E.
1
1996
Generalized ultrametric matrices – a class of inverse \(M\)-matrices. Zbl 0828.15020
Nabben, Reinhard; Varga, Richard S.
23
1995
On classes of inverse \(Z\)-matrices. Zbl 0828.15021
Nabben, Reinhard; Varga, Richard S.
6
1995
Adaptive \(k\)-step iterative methods for nonsymmetric systems of linear equations. Zbl 0858.65036
Manteuffel, Thomas A.; Starke, Gerhard; Varga, Richard S.
1
1995
Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture. Zbl 0857.15008
Krautstengl, Alan; Varga, Richard S.
1
1995
Minimal Gerschgorin sets for partitioned matrices. III: Sharpness of boundaries and monotonicity as a function of the partition. Zbl 0857.15009
Varga, Richard S.; Krautstengl, Alan
1
1995
A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix. Zbl 0803.15020
Nabben, Reinhard; Varga, Richard S.
33
1994
Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis. Zbl 0792.30020
Csordas, George; Smith, Wayne; Varga, Richard S.
12
1994
Asymptotics for the zeros and poles of normalized Padé approximants to \(e^ z\). Zbl 0807.30003
Varga, Richard S.; Carpenter, Amos J.
3
1994
Lehmer pairs of zeros and the Riemann \(\zeta\)-function. Zbl 0822.30025
Csordas, George; Smith, Wayne; Varga, Richard S.
1
1994
An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024
Brück, R.; Sharma, A.; Varga, R. S.
1
1994
An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025
Brück, R.; Sharma, A.; Varga, R. S.
1
1994
A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations. Zbl 0795.65015
Starke, Gerhard; Varga, Richard S.
22
1993
Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008
Eiermann, Michael; Varga, Richard S.
18
1993
On symmetric ultrametric matrices. Zbl 0798.15029
Varga, Richard S.; Nabben, Reinhard
14
1993
A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0807.11059
Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S.
8
1993
Numerical results on best uniform rational approximation of \(| x|\) on \([-1,+1]\). Zbl 0774.65008
Varga, R. S.; Ruttan, A.; Carpenter, A. J.
5
1993
Is the optimal \(\omega\) best for the SOR iteration method? Zbl 0773.65016
Eiermann, M.; Varga, R. S.
4
1993
Some numerical results on best uniform polynomial approximation of \(x^ \alpha\) on \([0,1]\). Zbl 0784.65009
Carpenter, Amos J.; Varga, Richard S.
3
1993
An algorithm for determining if the inverse of a strictly diagonally dominant Stieltjes matrix is strictly ultrametric. Zbl 0796.65029
Varga, Richard S.; Nabben, Reinhard
2
1993
Optimal semi-iterative methods applied to SOR in the mixed case. Zbl 0794.65027
Eiermann, Michael; Varga, Richard S.
2
1993
Acceleration of relaxation methods for non-Hermitian linear systems. Zbl 0757.65032
Eiermann, M.; Niethammer, W.; Varga, R. S.
14
1992
A lower bound for the de Bruijn-Newman constant \(\Lambda\). II. Zbl 0787.30016
Norfolk, T. S.; Ruttan, A.; Varga, R. S.
7
1992
Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1]. Zbl 0763.41025
Varga, Richard S.; Carpenter, Amos J.
5
1992
Level sets of real entire functions and the Laguerre inequalities. Zbl 0759.30016
Csordas, George; Smith, Wayne; Varga, Richard S.
3
1992
On a generalization of Mahler’s inequality. Zbl 0765.30001
Varga, Richard S.
2
1992
Asymptotics for the zeros of the partial sums of \(e^ z\). I. Zbl 0734.30008
Carpenter, A. J.; Varga, R. S.; Waldvogel, J.
13
1991
Numerical results on best uniform rational approximations of the function \(|{} x |\) on the closed interval [-1,1]. Zbl 0739.65010
Varga, R. S.; Ruttan, A.; Carpenter, A. J.
7
1991
The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis. Zbl 0751.11043
Csordas, G.; Ruttan, A.; Varga, R. S.
7
1991
Necessary and sufficient conditions and the Riemann hypothesis. Zbl 0707.11062
Csordas, George; Varga, Richard S.
30
1990
A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019
Gautschi, Walter; Tychopoulos, E.; Varga, R. S.
26
1990
Scientific computation on mathematical problems and conjectures. Zbl 0703.65004
Varga, Richard S.
14
1990
Jensen polynomials with applications to the Riemann \(\xi\)-function. Zbl 0708.30008
Csordas, George; Varga, Richard S.; Vincze, István
5
1990
Computational methods and function theory. Proceedings of a conference, held in Valparaíso, Chile, March 13-18, 1989. Zbl 0702.00014
Ruscheweyh, St.; Saff, E. B.; Salinas, L. C.; Varga, R. S.
2
1990
Asymptotics for the zeros of the partial sums of \(e^ z\). II. Zbl 0734.30009
Varga, R. S.; Carpenter, A. J.
2
1990
On hybrid semi-iterative methods. Zbl 0669.65020
Eiermann, M.; Li, X.; Varga, R. S.
19
1989
A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices. Zbl 0678.65021
Li, Xiezhang; Varga, Richard S.
11
1989
Sharp lower bounds for a generalized Jensen inequality. Zbl 0692.30002
Rigler, A. K.; Trimble, S. Y.; Varga, R. S.
6
1989
Integral transforms and the Laguerre-Pólya class. Zbl 0646.42010
Csordas, George; Varga, Richard S.
5
1989
Fourier transforms and the Hermite-Biehler theorem. Zbl 0683.30033
Csordas, G.; Varga, R. S.
4
1989
Relaxation methods for non-Hermitian linear systems. Zbl 0687.65031
Niethammer, W.; Varga, R. S.
4
1989
On a particular 2-periodic lacunary trigonometric interpolation problem on equidistant nodes. Zbl 0712.42009
Sharma, A.; Varga, R. S.
2
1989
A unified theory for real vs. complex rational Chebyshev approximation on an interval. Zbl 0676.41019
Ruttan, Arden; Varga, Richard S.
1
1989
A lower bound for the de Bruijn-Newman constant \(\Lambda^*\). Zbl 0663.65017
Csordas, G; Norfolk, T. S.; Varga, R. S.
15
1988
Moment inequalities and the Riemann hypothesis. Zbl 0696.30007
Csordas, George; Varga, Richard S.
12
1988
2-periodic lacunary trigonometric interpolation: the \((0;M)\) case. Zbl 0763.42003
Sharma, A.; Szabados, J.; Varga, R. S.
4
1988
Convergence rate estimates for iterative solutions of the biharmonic equation. Zbl 0675.65104
Rodrigue, Garry; Varga, Richard
2
1988
Iterationsverfahren für nichtsymmetrische Gleichungssysteme und Approximationsmethoden im Komplexen. (Iterative methods for nonsymmetric systems of equations and approximation methods in the complex domain). Zbl 0632.65031
Eiermann, M.; Varga, R. S.; Niethammer, W.
6
1987
On a conjecture of S. Bernstein in approximation theory. Zbl 0661.41005
Varga, Richard S.; Carpenter, Amos J.
2
1987
The Riemann hypothesis and the Turán inequalities. Zbl 0602.30030
Csordas, George; Norfolk, Timothy S.; Varga, Richard S.
29
1986
k-step iterative methods for solving nonlinear systems of equations. Zbl 0597.65047
Gutknecht, M. H.; Niethammer, W.; Varga, R. S.
9
1986
On the minimum moduli of normalized polynomials with two prescribed values. Zbl 0602.30008
Ruscheweyh, Stephan; Varga, Richard S.
3
1986
A study of semiiterative methods for nonsymmetric systems of linear equations. Zbl 0585.65025
Eiermann, M.; Niethammer, W.; Varga, R. S.
49
1985
On the Bernstein conjecture in approximation theory. Zbl 0648.41013
Varga, Richard S.; Carpenter, Amos J.
15
1985
Converse results in the Walsh theory of overconvergence. Zbl 0578.41003
Cavaretta, A. S.; Sharma, A. jun.; Varga, R. S.
1
1985
Convergence of block iterative methods applied to sparse least-squares problems. Zbl 0565.65019
Niethammer, W.; de Pillis, J.; Varga, R. S.
42
1984
Comparisons of regular splittings of matrices. Zbl 0556.65024
Csordas, George; Varga, Richard S.
41
1984
p-cyclic matrices and the symmetric successive overrelaxation method. Zbl 0569.65022
Varga, R. S.; Niethammer, W.; Cai, D.-Y.
30
1984
Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Zbl 0569.65021
Neumaier, A.; Varga, R. S.
22
1984
Extended numerical computations on the ”1/9” conjecture in rational approximation theory. Zbl 0553.41022
Carpenter, A. J.; Ruttan, A.; Varga, R. S.
13
1984
Rational approximation and interpolation. Proceedings of the United Kingdom-United States Conference held at Tampa, Florida, December 12-16, 1983. Zbl 0544.00011
Graves-Morris, P. R.; Saff, E. B.; Varga, R. S.
4
1984
On the minimum moduli of normalized polynomials. Zbl 0582.41010
Ruscheweyh, S.; Varga, R. S.
1
1984
Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040
Gautschi, Walter; Varga, Richard S.
72
1983
The analysis of k-step iterative methods for linear systems from summability theory. Zbl 0487.65018
Niethammer, W.; Varga, R. S.
58
1983
Zeros of sections of power series. Zbl 0507.30001
Edrei, Albert; Saff, Edward B.; Varga, Richard S.
23
1983
A note on the sharpness of J. L. Walsh’s theorem and its extensions for interpolation in the roots of unity. Zbl 0524.30026
Saff, E. B.; Varga, R. S.
13
1983
Theorems of Stein-Rosenberg type. III. The singular case. Zbl 0487.65017
Buoni, John J.; Neumann, Michael; Varga, Richard S.
17
1982
Topics in polynomial and rational interpolation and approximation. Zbl 0484.30023
Varga, Richard S.
13
1982
On the overconvergence of complex interpolating polynomials. Zbl 0524.41001
Szabados, Jozsef; Varga, R. S.
4
1982
On the LU factorization of M-matrices: cardinality of the set \(P^q_n(A)\). Zbl 0504.15004
Varga, R. S.; Cai, D.-Y.
3
1982
On the LU factorization of M-matrices. Zbl 0477.65021
Varga, Richard S.; Cai, Da-Yong
15
1981
An extension of the Eneström-Kakeya theorem and its sharpness. Zbl 0455.30006
Anderson, N.; Saff, E. B.; Varga, R. S.
12
1981
On incomplete polynomials. II. Zbl 0424.41004
Saff, E. B.; Varga, R. S.
10
1981
On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004
de Bruin, M. G.; Saff, E. B.; Varga, R. S.
10
1981
On lacunary incomplete polynomials. Zbl 0438.42011
Saff, Edward B.; Varga, Richard S.
8
1981
...and 112 more Documents
all top 5

Cited by 4,080 Authors

95 Varga, Richard Steven
77 Evans, David John
76 Hadjidimos, Apostolos
53 Neumann, Michael
49 Bai, Zhongzhi
40 Huang, Ting-Zhu
36 Wang, Yuanming
34 Mohanty, Ranjan Kumar
28 Cvetković, Ljiljana
24 Spalević, Miodrag M.
23 Pao, Chia-Ven
23 Saff, Edward Barry
22 Mayer, Günter
21 Alefeld, Götz E.
21 Li, Yaotang
21 Marek, Ivo
21 Plemmons, Robert James
20 Noutsos, Dimitrios
20 Szyld, Daniel B.
19 Schneider, Hans
19 Song, Yongzhong
18 Frommer, Andreas
18 Martins, Maria Madalena
18 Sharma, Ambikeshwar
17 Axelsson, Axel Owe Holger
17 Galligani, Emanuele
17 Kostić, Vladimir R.
17 Li, Chaoqian
17 Missirlis, Nikolaos M.
17 Niethammer, Wilhelm
16 Milovanović, Gradimir V.
15 Li, Changjun
15 Niki, Hiroshi
15 Reddy, A. R.
15 Schultz, Martin H.
15 Yun, Jae Heon
14 Csordas, George
14 Elsner, Ludwig F.
14 Hall, Charles Allan
14 Kolotilina, Lily Yu.
14 Liu, Jianzhou
14 Liu, Xingping
14 Tzoumas, Michael G.
13 Bru, Rafael
13 Li, Xiezhang
13 Lipitakis, Elias A.
13 Mishra, Debasisha
13 Nabben, Reinhard
13 Reichel, Lothar
13 Rojo, Oscar L.
13 Serra-Capizzano, Stefano
13 Usmani, Riaz A.
12 Agarwal, Ravi P.
12 Ciarlet, Philippe Gaston
12 Galanis, Sofoklis
12 Golub, Gene Howard
12 Korotov, Sergey
12 Li, Cuixia
12 Wang, Chuanlong
12 Wei, Yimin
11 Ishihara, Kazuo
11 Pejčev, Aleksandar V.
11 Saridakis, Yiannis G.
11 Wang, Hong
10 Berman, Abraham S.
10 Fiedler, Miroslav
10 Guo, Chun-Hua
10 Gutknecht, Martin H.
10 Kellogg, Bruce
10 Ma, Changfeng
10 Sisler, Miroslav
10 Szulc, Tomasz
10 Wang, Deren
10 Wu, Shiliang
10 Yeyios, A. K.
10 Young, David M. jun.
9 Cao, Zhihao
9 Gautschi, Walter
9 Gu, Tongxiang
9 Li, Houbiao
9 Mezzadri, Francesco
9 Muroya, Yoshiaki
9 Noor, Muhammad Aslam
9 Roy, Satyajit
9 Saad, Yousef
9 Sivakumar, Koratti Chengalrayan
9 Trefethen, Lloyd Nicholas
9 Tsatsomeros, Michael J.
9 Vulkov, Lubin G.
9 Wang, Song
9 Zhang, Jun
9 Zhang, Litao
8 Avdelas, George
8 Birkhoff, Garrett
8 Brualdi, Richard Anthony
8 Climent, Joan-Josep
8 de Pillis, John
8 Delvos, Franz-Jürgen
8 Deutsch, Emeric
8 Dimitrov, Dimitar K.
...and 3,980 more Authors
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Cited in 437 Serials

521 Linear Algebra and its Applications
330 Journal of Computational and Applied Mathematics
306 Numerische Mathematik
192 Applied Mathematics and Computation
171 Journal of Approximation Theory
139 International Journal of Computer Mathematics
130 Journal of Computational Physics
125 Mathematics of Computation
117 Journal of Mathematical Analysis and Applications
107 Computers & Mathematics with Applications
88 Applied Numerical Mathematics
83 Computing
64 BIT
59 Numerical Linear Algebra with Applications
53 Computer Methods in Applied Mechanics and Engineering
53 Numerical Algorithms
50 Calcolo
40 Constructive Approximation
39 Linear and Multilinear Algebra
38 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
31 Aplikace Matematiky
30 Proceedings of the American Mathematical Society
30 Numerical Methods for Partial Differential Equations
27 Journal of Optimization Theory and Applications
27 Applied Mathematics Letters
26 International Journal for Numerical Methods in Engineering
24 International Journal for Numerical Methods in Fluids
24 SIAM Journal on Algebraic and Discrete Methods
23 Mathematics and Computers in Simulation
23 BIT. Nordisk Tidskrift for Informationsbehandling
21 Journal of Scientific Computing
21 SIAM Journal on Scientific Computing
18 Mathematical Biosciences
18 Applied Mathematical Modelling
16 Mathematical Notes
16 Numerical Functional Analysis and Optimization
16 Journal of Inequalities and Applications
15 Computer Physics Communications
14 Czechoslovak Mathematical Journal
14 Mathematische Zeitschrift
13 Applicable Analysis
13 Computers and Fluids
13 Mathematical and Computer Modelling
13 Aequationes Mathematicae
13 Computational and Applied Mathematics
13 Parallel Algorithms and Applications
13 Nonlinear Analysis. Theory, Methods & Applications
12 Automatica
12 Results in Mathematics
12 SIAM Journal on Numerical Analysis
12 Transactions of the American Mathematical Society
12 Japan Journal of Industrial and Applied Mathematics
12 Journal of Applied Mathematics
12 Computational Methods and Function Theory
11 Journal of Engineering Mathematics
11 Journal of the Franklin Institute
11 RAIRO. Modélisation Mathématique et Analyse Numérique
11 Applications of Mathematics
11 Journal of Mathematical Sciences (New York)
11 Advances in Computational Mathematics
11 Journal of Applied Mathematics and Computing
10 Discrete Mathematics
10 International Journal of Control
10 Ukrainian Mathematical Journal
10 Applied Mathematics and Mechanics. (English Edition)
10 Bulletin of the American Mathematical Society
9 Journal d’Analyse Mathématique
9 Rocky Mountain Journal of Mathematics
9 Advances in Mathematics
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 RAIRO. Analyse Numérique
9 Computer Aided Geometric Design
9 Acta Mathematicae Applicatae Sinica. English Series
9 SIAM Journal on Matrix Analysis and Applications
8 Archive for Rational Mechanics and Analysis
8 International Journal of Engineering Science
8 International Journal of Heat and Mass Transfer
8 Journal of Mathematical Biology
8 Applied Mathematics and Optimization
8 Advances in Applied Mathematics
8 Mathematical Problems in Engineering
8 Advances in Difference Equations
8 Revue Française d’Automatique, Informatique, Recherche Opérationnelle. Série Rouge
7 Bulletin of the Australian Mathematical Society
7 Discrete Applied Mathematics
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Journal of Differential Equations
7 Acta Mathematica Hungarica
6 International Journal of Systems Science
6 Transport Theory and Statistical Physics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Number Theory
6 Theoretical Computer Science
6 European Journal of Operational Research
6 Journal of Difference Equations and Applications
6 Nonlinear Analysis. Real World Applications
5 Kybernetika
5 Rendiconti del Seminario Matematico della Università di Padova
5 Systems & Control Letters
5 Acta Applicandae Mathematicae
...and 337 more Serials
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Cited in 59 Fields

2,634 Numerical analysis (65-XX)
742 Linear and multilinear algebra; matrix theory (15-XX)
648 Partial differential equations (35-XX)
484 Approximations and expansions (41-XX)
289 Ordinary differential equations (34-XX)
232 Functions of a complex variable (30-XX)
229 Fluid mechanics (76-XX)
164 Operations research, mathematical programming (90-XX)
137 Operator theory (47-XX)
132 Combinatorics (05-XX)
104 Probability theory and stochastic processes (60-XX)
103 Biology and other natural sciences (92-XX)
94 Systems theory; control (93-XX)
91 Special functions (33-XX)
84 Calculus of variations and optimal control; optimization (49-XX)
80 Computer science (68-XX)
67 Mechanics of deformable solids (74-XX)
66 Harmonic analysis on Euclidean spaces (42-XX)
58 Real functions (26-XX)
57 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
56 Number theory (11-XX)
56 Integral equations (45-XX)
48 Statistical mechanics, structure of matter (82-XX)
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