Edit Profile (opens in new tab) Varga, Richard Steven Compute Distance To: Compute Author ID: varga.richard-s Published as: Varga, R. S.; Varga, Richard S.; Varga, Richard more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 253 Publications since 1952, including 9 Books 7 Contributions as Editor Biographic References: 5 Publications Co-Authors: 109 Co-Authors with 211 Joint Publications 2,495 Co-Co-Authors all top 5 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 Berman, Abraham S. 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. ...and 9 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 all top 5 Fields 87 Numerical analysis (65-XX) 76 Approximations and expansions (41-XX) 64 Functions of a complex variable (30-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 13 Number theory (11-XX) 11 Special functions (33-XX) 8 General and overarching topics; collections (00-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Real functions (26-XX) 5 History and biography (01-XX) 5 Potential theory (31-XX) 5 Partial differential equations (35-XX) 3 Field theory and polynomials (12-XX) 3 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 214 Publications have been cited 6,114 times in 4,597 Documents Cited by ▼ Year ▼ Matrix iterative analysis. Zbl 0133.08602Varga, Richard S. 2,086 1962 Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505Varga, Richard S. 359 2000 Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042Varga, Richard S. 160 2009 Chebyshev semi-iterative methods, successive overrelaxation iterative methods, and second order Richardson iterative methods. I, II. Zbl 0099.10903Golub, Gene H.; Varga, Richard S. 143 1961 Geršgorin and his circles. Zbl 1057.15023Varga, Richard S. 135 2004 Block diagonally dominant matrices and generalizations of the Gerschgorin circle theorem. Zbl 0109.24802Feingold, D. G.; Varga, R. S. 115 1962 Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem. Zbl 0155.20403Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 114 1967 Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Zbl 0159.20904Birkhoff, G.; Schultz, M. H.; Varga, R. S. 114 1968 On recurring theorems on diagonal dominance. Zbl 0336.15007Varga, Richard S. 103 1976 L-splines. Zbl 0183.44402Schultz, M. H.; Varga, R. S. 84 1967 Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040Gautschi, Walter; Varga, Richard S. 77 1983 Functional analysis and approximation theory in numerical analysis. Zbl 0226.65064Varga, R. S. 65 1971 The analysis of k-step iterative methods for linear systems from summability theory. Zbl 0487.65018Niethammer, W.; Varga, R. S. 60 1983 Alternating direction implicit methods. Zbl 0111.31402Birkhoff, G.; Varga, R. S.; Young, David 57 1962 Error bounds for spline and L-spline interpolation. Zbl 0242.41008Swartz, Blair K.; Varga, Richard S. 55 1972 Numerical methods of high-order accuracy for nonlinear boundary value problems. V: Monotone operator theory. Zbl 0181.18603Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 51 1969 Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems. Zbl 0187.11602Cody, W. J.; Meinardus, G.; Varga, R. S. 51 1969 A study of semiiterative methods for nonsymmetric systems of linear equations. Zbl 0585.65025Eiermann, M.; Niethammer, W.; Varga, R. S. 50 1985 \(p\)-cyclic matrices: A generalization of the Young-Frankel successive overrelaxation scheme. Zbl 0088.09402Varga, Richard S. 46 1959 Numerical methods of high-order accuracy for singular nonlinear boundary value problems. Zbl 0211.19103Ciarlet, P. G.; Natterer, F.; Varga, R. S. 46 1970 Comparisons of regular splittings of matrices. Zbl 0556.65024Csordas, George; Varga, Richard S. 45 1984 Quadratic interpolatory splines. Zbl 0271.65006Kammerer, W. J.; Reddien, G. W.; Varga, R. S. 44 1974 On higher order stable implicit methods for solving parabolic partial differential equations. Zbl 0106.10805Varga, Richard S. 42 1961 Convergence of block iterative methods applied to sparse least-squares problems. Zbl 0565.65019Niethammer, W.; de Pillis, J.; Varga, R. S. 42 1984 A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S. 41 2004 Application of oscillation matrices to diffusion-convection equations. Zbl 0143.38301Price, Harvey S.; Varga, Richard S.; Warren, Joseph E. 39 1966 Minimal Gerschgorin sets. Zbl 0168.02904Varga, R. S. 39 1965 On powers of non-negative matrices. Zbl 0096.00805Holladay, John C.; Varga, Richard S. 38 1958 Discretization errors for well-set Cauchy problems. I. Zbl 0134.13406Birkhoff, G.; Varga, R. S. 37 1965 A comparison of the successive overrelaxation method and semi-iterative methods using Chebyshev polynomials. Zbl 0080.10701Varga, Richard S. 36 1957 Necessary and sufficient conditions and the Riemann hypothesis. Zbl 0707.11062Csordas, George; Varga, Richard S. 36 1990 The Riemann hypothesis and the Turán inequalities. Zbl 0602.30030Csordas, George; Norfolk, Timothy S.; Varga, Richard S. 35 1986 On a discrete maximum principle. Zbl 0143.17603Varga, R. S. 35 1966 A linear algebra proof that the inverse of a strictly ultrametric matrix is a strictly diagonally dominant Stieltjes matrix. Zbl 0803.15020Nabben, Reinhard; Varga, Richard S. 33 1994 On the zeros and poles of Padè approximants to \(e^z\). III. Zbl 0438.41015Saff, E. B.; Varga, R. S. 32 1978 p-cyclic matrices and the symmetric successive overrelaxation method. Zbl 0569.65022Varga, R. S.; Niethammer, W.; Cai, D.-Y. 30 1984 On diagonal dominance arguments for bounding \(\| A^{-1}\|_\infty\). Zbl 0341.15002Varga, Richard S. 29 1976 Numerical methods of high-order accuracy for nonlinear boundary value problems. III: Eigenvalue problems, IV: Periodic boundary conditions. Zbl 0181.18303Ciarlet, P. G.; Schultz, M. H.; Varga, R. S. 29 1968 Reactor criticality and nonnegative matrices. Zbl 0086.23301Birkhoff, Garrett; Varga, Richard S. 27 1958 On the zeros and poles of Padé approximants to \(e^z\). Zbl 0322.41010Saff, E. B.; Varga, R. S. 27 1975 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 27 1990 Interpolation in the roots of unity: An extension of a theorem of J. L. Walsh. Zbl 0447.30020Cavaretta, A. S. jun.; Sharma, A.; Varga, R. S. 25 1980 Iterative methods for solving matrix equations. Zbl 0151.21402Varga, R. S. 25 1965 A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations. Zbl 0795.65015Starke, Gerhard; Varga, Richard S. 25 1993 On the Eneström-Kakeya theorem and its sharpness. Zbl 0423.15007Anderson, N.; Saff, E. B.; Varga, R. S. 24 1979 Zeros of sections of power series. Zbl 0507.30001Edrei, Albert; Saff, Edward B.; Varga, Richard S. 24 1983 Zero-free parabolic regions for sequences of polynomials. Zbl 0332.30001Saff, E. B.; Varga, R. S. 23 1976 Generalized ultrametric matrices – a class of inverse \(M\)-matrices. Zbl 0828.15020Nabben, Reinhard; Varga, Richard S. 23 1995 Generalizations of spline functions and applications to nonlinear boundary value and eigenvalue problems. Zbl 0188.13004Jerome, J. W.; Varga, R. S. 23 1969 Implicit alternating direction methods. Zbl 0093.31201Birkhoff, Garrett; Varga, Richard S. 22 1959 Exact convergence and divergence domains for the symmetric successive overrelaxation iterative (SSOR) method applied to H-matrices. Zbl 0569.65021Neumaier, A.; Varga, R. S. 22 1984 Factorization and normalized iterative methods. Zbl 0100.12501Varga, Richard S. 20 1960 Theorems of Stein-Rosenberg type. Zbl 0412.65016Buoni, John J.; Varga, Richard S. 19 1979 On the zeros of Jacobi polynomials \(P_n^{(\alpha_n,\beta_n)}(x)\). Zbl 0414.33009Moak, D. S.; Saff, E. B.; Varga, R. S. 19 1979 Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008Eiermann, Michael; Varga, Richard S. 19 1993 Zur Konvergenz des symmetrischen Relaxationsverfahrens. Zbl 0319.65030Alefeld, G.; Varga, R. S. 19 1976 On an extension of a result of S. N. Bernstein. Zbl 0177.08803Varga, R. S. 19 1968 On hybrid semi-iterative methods. Zbl 0669.65020Eiermann, M.; Li, X.; Varga, R. S. 19 1989 On the Bernstein conjecture in approximation theory. Zbl 0648.41013Varga, Richard S.; Carpenter, Amos J. 18 1985 Nonuniqueness of best approximating complex rational functions. Zbl 0348.41020Saff, E. B.; Varga, R. S. 18 1977 On higher-order numerical methods for nonlinear two-point boundary value problems. Zbl 0183.44501Perrin, F. M.; Price, H. S.; Varga, R. S. 18 1969 Theorems of Stein-Rosenberg type. III. The singular case. Zbl 0487.65017Buoni, John J.; Neumann, Michael; Varga, Richard S. 17 1982 Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems. I: Estimates relating Rayleigh-Ritz and Galerkin approximations to eigenfunctions. Zbl 0301.65063Pierce, J. G.; Varga, R. S. 17 1972 Chebyshev rational approximations to certain entire functions in \([0,+\infty)\). Zbl 0213.08704Meinardus, Günter; Varga, Richard S. 17 1970 A lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0663.65017Csordas, G; Norfolk, T. S.; Varga, R. S. 17 1988 Acceleration of relaxation methods for non-Hermitian linear systems. Zbl 0757.65032Eiermann, M.; Niethammer, W.; Varga, R. S. 16 1992 Converse theorems and extensions in Chebyshev rational approximation to certain entire functions in \([0, + \infty)\). Zbl 0279.41010Meinardus, G.; Reddy, A. R.; Taylor, G. D.; Varga, R. S. 16 1972 Extended numerical computations on the ”1/9” conjecture in rational approximation theory. Zbl 0553.41022Carpenter, A. J.; Ruttan, A.; Varga, R. S. 16 1984 Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis. Zbl 0792.30020Csordas, George; Smith, Wayne; Varga, Richard S. 16 1994 \(\mathcal A\mathcal L\wp\mathcal S\): Matrices with nonpositive off-diagonal entries. Zbl 0401.15018Berman, A.; Varga, R. S.; Ward, R. C. 16 1978 On the LU factorization of M-matrices. Zbl 0477.65021Varga, Richard S.; Cai, Da-Yong 15 1981 The sharpness of Lorentz’s theorem on incomplete polynomials. Zbl 0414.41009Saff, E. B.; Varga, R. S. 15 1979 Asymptotics for the zeros of the partial sums of \(e^ z\). I. Zbl 0734.30008Carpenter, A. J.; Varga, R. S.; Waldvogel, J. 15 1991 Geometric convergence to \(e^{-z}\) by rational functions with real poles. Zbl 0307.65025Saff, E. B.; Schönhage, A.; Varga, R. S. 15 1976 Scientific computation on mathematical problems and conjectures. Zbl 0703.65004Varga, Richard S. 14 1990 On symmetric ultrametric matrices. Zbl 0798.15029Varga, Richard S.; Nabben, Reinhard 14 1993 Minimal Gerschgorin sets. II. Zbl 0168.03001Levinger, B. W.; Varga, R. S. 14 1966 Minimal G-functions. Zbl 0246.15009Carlson, David H.; Varga, Richard S. 14 1973 A note on the sharpness of J. L. Walsh’s theorem and its extensions for interpolation in the roots of unity. Zbl 0524.30026Saff, E. B.; Varga, R. S. 13 1983 Incomplete factorizations of matrices and connections with H-matrices. Zbl 0477.65020Varga, R. S.; Saff, E. B.; Mehrmann, V. 13 1980 Topics in polynomial and rational interpolation and approximation. Zbl 0484.30023Varga, Richard S. 13 1982 On smallest isolated Gerschgorin disks for eigenvalues. Zbl 0131.14204Varga, R. S. 13 1964 A method of normalized block iteration. Zbl 0088.09403Cuthill, Elizabeth H.; Varga, Richard S. 13 1959 Moment inequalities and the Riemann hypothesis. Zbl 0696.30007Csordas, George; Varga, Richard S. 13 1988 Error bounds for semidiscrete Galerkin approximations of parabolic problems with applications to petroleum reservoir mechanics. Zbl 0218.76092Price, 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 0223.65080Pierce, J. G.; Varga, R. S. 13 1972 On incomplete polynomials. II. Zbl 0424.41004Saff, E. B.; Varga, R. S. 12 1981 An extension of the Eneström-Kakeya theorem and its sharpness. Zbl 0455.30006Anderson, N.; Saff, E. B.; Varga, R. S. 12 1981 Incomplete polynomials: an electrostatics approach. Zbl 0479.41016Saff, E. B.; Ullman, J. L.; Varga, R. S. 12 1980 Nonuniqueness of best complex rational approximations to real functions on real intervals. Zbl 0375.41008Saff, E. B.; Varga, R. S. 12 1978 Discrete variational Green’s function. Zbl 0245.34012Ciarlet, P. G.; Varga, R. S. 12 1970 The Szegő curve, zero distribution and weighted approximation. Zbl 1114.30312Pritsker, Igor E.; Varga, Richard S. 11 1997 Nested bounds for the spectral radius. Zbl 0221.65063Marek, Ivo; Varga, Richard S. 11 1969 A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices. Zbl 0678.65021Li, Xiezhang; Varga, Richard S. 11 1989 Uniform approximation by incomplete polynomials. Zbl 0421.41006Saff, E. B.; Varga, R. S. 10 1978 On the sharpness of some upper bounds for the spectral radii of S.O.R. iteration matrices. Zbl 0453.65021Neumann, Michael; Varga, Richard S. 10 1980 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004de Bruin, M. G.; Saff, E. B.; Varga, R. S. 10 1981 k-step iterative methods for solving nonlinear systems of equations. Zbl 0597.65047Gutknecht, M. H.; Niethammer, W.; Varga, R. S. 10 1986 A new Lehmer pair of zeros and a new lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0807.11059Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 10 1993 On the zeros and poles of Padé approximants to \(e^z\). II. Zbl 0377.41016Saff, E. B.; Varga, R. S. 10 1977 On the Perron-Frobenius theory for complex matrices. Zbl 1321.65050Noutsos, Dimitrios; Varga, Richard S. 7 2012 Localization of generalized eigenvalues by Cartesian ovals. Zbl 1274.65107Kostić, V.; Varga, R. S.; Cvetković, L. 3 2012 Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). III. Zbl 1195.30010Varga, Richard S.; Carpenter, Amos J. 3 2010 Matrix iterative analysis. 1st softcover printing of the 2nd revised and expanded ed. 2000. Zbl 1216.65042Varga, Richard S. 160 2009 Geršgorin-type localizations of generalized eigenvalues. Zbl 1224.65094Kostić, Vladimir; Cvetković, Ljiljana; Varga, Richard S. 10 2009 Approximation of the minimal Geršgorin set of a square complex matrix. Zbl 1188.15008Varga, 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 1175.30010Varga, Richard S.; Carpenter, Amos J.; Lewis, Bryan W. 2 2008 Singular value decomposition normally estimated Geršgorin sets. Zbl 1171.15304Fontes, 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 1116.30024Andrievskii, Vladimir V.; Carpenter, Amos J.; Varga, Richard S. 2 2006 Singular value decomposition Geršgorin sets. Zbl 1101.15017Smithies, Laura; Varga, Richard S. 1 2006 Geršgorin and his circles. Zbl 1057.15023Varga, Richard S. 135 2004 A new Geršgorin-type eigenvalue inclusion set. Zbl 1069.15016Cvetkovic, Ljiljana; Kostic, Vladimir; Varga, Richard S. 41 2004 Geršgorin-type eigenvalue inclusion theorems and their sharpness. Zbl 0979.15015Varga, Richard S. 7 2001 Simultaneous approximation and interpolation of functions on continua in the complex plane. Zbl 1033.30027Andrievskii, Vladimir V.; Pritsker, Igor E.; Varga, Richard S. 5 2001 Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). II. Zbl 0994.30008Varga, Richard S.; Carpenter, Amos J. 3 2001 Gerschgorin disks, Brauer ovals of Cassini (a vindication), and Brualdi sets. Zbl 1046.15021Varga, Richard S. 2 2001 On zeros of polynomials orthogonal over a convex domain. Zbl 0990.30003Andrievskii, V. V.; Pritsker, I. E.; Varga, R. S. 2 2001 Matrix iterative analysis. 2nd revised and expanded ed. Zbl 0998.65505Varga, Richard S. 359 2000 Zeros of the partial sums of \(\cos(z)\) and \(\sin(z)\). I. Zbl 0970.30006Varga, Richard S.; Carpenter, Amos J. 4 2000 On Geršgorin-type problems and ovals of cassini. Zbl 0927.15008Varga, Richard S.; Krautstengel, Alan 8 1999 Hardy’s inequality and ultrametric matrices. Zbl 0952.15011Todd, John; Varga, Richard S. 2 1999 Weighted rational approximation in the complex plane. Zbl 0932.30036Pritsker, I. E.; Varga, R. S. 1 1999 Weighted polynomial approximation in the complex plane. Zbl 0920.30028Pritsker, I. E.; Varga, R. S. 2 1998 Zero distribution, the Szegő curve, and weighted polynomial approximation in the complex plane. Zbl 0926.30024Pritsker, I. E.; Varga, R. S. 1 1998 The Szegő curve, zero distribution and weighted approximation. Zbl 1114.30312Pritsker, Igor E.; Varga, Richard S. 11 1997 On a counterexample in the theory of polynomials having concentration at low degrees. Zbl 0863.30002Varga, Richard S.; Pritsker, Igor E. 1 1996 Generalized ultrametric matrices – a class of inverse \(M\)-matrices. Zbl 0828.15020Nabben, Reinhard; Varga, Richard S. 23 1995 On classes of inverse \(Z\)-matrices. Zbl 0828.15021Nabben, Reinhard; Varga, Richard S. 6 1995 Adaptive \(k\)-step iterative methods for nonsymmetric systems of linear equations. Zbl 0858.65036Manteuffel, Thomas A.; Starke, Gerhard; Varga, Richard S. 1 1995 Minimal Gerschgorin sets for partitioned matrices. II: The spectral conjecture. Zbl 0857.15008Krautstengl, 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 0857.15009Varga, 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 0803.15020Nabben, Reinhard; Varga, Richard S. 33 1994 Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis. Zbl 0792.30020Csordas, George; Smith, Wayne; Varga, Richard S. 16 1994 Asymptotics for the zeros and poles of normalized Padé approximants to \(e^ z\). Zbl 0807.30003Varga, Richard S.; Carpenter, Amos J. 3 1994 Lehmer pairs of zeros and the Riemann \(\zeta\)-function. Zbl 0822.30025Csordas, George; Smith, Wayne; Varga, Richard S. 1 1994 An extension of a result of Rivlin on Walsh equiconvergence. Zbl 0840.30024Brück, R.; Sharma, A.; Varga, R. S. 1 1994 An extension of a result of Rivlin of Walsh equiconvergence (Faber nodes). Zbl 0840.30025Brück, R.; Sharma, A.; Varga, R. S. 1 1994 A hybrid Arnoldi-Faber iterative method for nonsymmetric systems of linear equations. Zbl 0795.65015Starke, Gerhard; Varga, Richard S. 25 1993 Zeros and local extreme points of Faber polynomials associated with hypocycloidal domains. Zbl 0815.30008Eiermann, Michael; Varga, Richard S. 19 1993 On symmetric ultrametric matrices. Zbl 0798.15029Varga, 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 0807.11059Csordas, G.; Odlyzko, A. M.; Smith, Wayne; Varga, R. S. 10 1993 Numerical results on best uniform rational approximation of \(| x|\) on \([-1,+1]\). Zbl 0774.65008Varga, R. S.; Ruttan, A.; Carpenter, A. J. 5 1993 Is the optimal \(\omega\) best for the SOR iteration method? Zbl 0773.65016Eiermann, M.; Varga, R. S. 4 1993 Some numerical results on best uniform polynomial approximation of \(x^ \alpha\) on \([0,1]\). Zbl 0784.65009Carpenter, 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 0796.65029Varga, Richard S.; Nabben, Reinhard 2 1993 Optimal semi-iterative methods applied to SOR in the mixed case. Zbl 0794.65027Eiermann, Michael; Varga, Richard S. 2 1993 Acceleration of relaxation methods for non-Hermitian linear systems. Zbl 0757.65032Eiermann, M.; Niethammer, W.; Varga, R. S. 16 1992 Some numerical results on best uniform rational approximation of \(x^ \alpha\) on [0,1]. Zbl 0763.41025Varga, Richard S.; Carpenter, Amos J. 9 1992 A lower bound for the de Bruijn-Newman constant \(\Lambda\). II. Zbl 0787.30016Norfolk, T. S.; Ruttan, A.; Varga, R. S. 8 1992 Level sets of real entire functions and the Laguerre inequalities. Zbl 0759.30016Csordas, George; Smith, Wayne; Varga, Richard S. 3 1992 On a generalization of Mahler’s inequality. Zbl 0765.30001Varga, Richard S. 2 1992 Asymptotics for the zeros of the partial sums of \(e^ z\). I. Zbl 0734.30008Carpenter, A. J.; Varga, R. S.; Waldvogel, J. 15 1991 The Laguerre inequalities with applications to a problem associated with the Riemann hypothesis. Zbl 0751.11043Csordas, G.; Ruttan, A.; Varga, R. S. 9 1991 Numerical results on best uniform rational approximations of the function \(|{} x |\) on the closed interval [-1,1]. Zbl 0739.65010Varga, R. S.; Ruttan, A.; Carpenter, A. J. 7 1991 Necessary and sufficient conditions and the Riemann hypothesis. Zbl 0707.11062Csordas, George; Varga, Richard S. 36 1990 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 27 1990 Scientific computation on mathematical problems and conjectures. Zbl 0703.65004Varga, Richard S. 14 1990 Jensen polynomials with applications to the Riemann \(\xi\)-function. Zbl 0708.30008Csordas, George; Varga, Richard S.; Vincze, István 5 1990 Asymptotics for the zeros of the partial sums of \(e^ z\). II. Zbl 0734.30009Varga, R. S.; Carpenter, A. J. 3 1990 Computational methods and function theory. Proceedings of a conference, held in Valparaíso, Chile, March 13-18, 1989. Zbl 0702.00014 2 1990 On hybrid semi-iterative methods. Zbl 0669.65020Eiermann, M.; Li, X.; Varga, R. S. 19 1989 A note on the SSOR and USSOR iterative methods applied to p-cyclic matrices. Zbl 0678.65021Li, Xiezhang; Varga, Richard S. 11 1989 Sharp lower bounds for a generalized Jensen inequality. Zbl 0692.30002Rigler, A. K.; Trimble, S. Y.; Varga, R. S. 7 1989 Integral transforms and the Laguerre-Pólya class. Zbl 0646.42010Csordas, George; Varga, Richard S. 6 1989 Relaxation methods for non-Hermitian linear systems. Zbl 0687.65031Niethammer, W.; Varga, R. S. 5 1989 Fourier transforms and the Hermite-Biehler theorem. Zbl 0683.30033Csordas, G.; Varga, R. S. 4 1989 On a particular 2-periodic lacunary trigonometric interpolation problem on equidistant nodes. Zbl 0712.42009Sharma, A.; Varga, R. S. 2 1989 A unified theory for real vs. complex rational Chebyshev approximation on an interval. Zbl 0676.41019Ruttan, Arden; Varga, Richard S. 1 1989 A lower bound for the de Bruijn-Newman constant \(\Lambda\). Zbl 0663.65017Csordas, G; Norfolk, T. S.; Varga, R. S. 17 1988 Moment inequalities and the Riemann hypothesis. Zbl 0696.30007Csordas, George; Varga, Richard S. 13 1988 2-periodic lacunary trigonometric interpolation: the \((0;M)\) case. Zbl 0763.42003Sharma, A.; Szabados, J.; Varga, R. S. 4 1988 Convergence rate estimates for iterative solutions of the biharmonic equation. Zbl 0675.65104Rodrigue, Garry; Varga, Richard 3 1988 Iterationsverfahren für nichtsymmetrische Gleichungssysteme und Approximationsmethoden im Komplexen. (Iterative methods for nonsymmetric systems of equations and approximation methods in the complex domain). Zbl 0632.65031Eiermann, M.; Varga, R. S.; Niethammer, W. 6 1987 On a conjecture of S. Bernstein in approximation theory. Zbl 0661.41005Varga, Richard S.; Carpenter, Amos J. 2 1987 The Riemann hypothesis and the Turán inequalities. Zbl 0602.30030Csordas, George; Norfolk, Timothy S.; Varga, Richard S. 35 1986 k-step iterative methods for solving nonlinear systems of equations. Zbl 0597.65047Gutknecht, M. H.; Niethammer, W.; Varga, R. S. 10 1986 On the minimum moduli of normalized polynomials with two prescribed values. Zbl 0602.30008Ruscheweyh, Stephan; Varga, Richard S. 3 1986 A study of semiiterative methods for nonsymmetric systems of linear equations. Zbl 0585.65025Eiermann, M.; Niethammer, W.; Varga, R. S. 50 1985 On the Bernstein conjecture in approximation theory. Zbl 0648.41013Varga, Richard S.; Carpenter, Amos J. 18 1985 Converse results in the Walsh theory of overconvergence. Zbl 0578.41003Cavaretta, A. S.; Sharma, A. jun.; Varga, R. S. 1 1985 Comparisons of regular splittings of matrices. Zbl 0556.65024Csordas, George; Varga, Richard S. 45 1984 Convergence of block iterative methods applied to sparse least-squares problems. Zbl 0565.65019Niethammer, W.; de Pillis, J.; Varga, R. S. 42 1984 p-cyclic matrices and the symmetric successive overrelaxation method. Zbl 0569.65022Varga, 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 0569.65021Neumaier, A.; Varga, R. S. 22 1984 Extended numerical computations on the ”1/9” conjecture in rational approximation theory. Zbl 0553.41022Carpenter, A. J.; Ruttan, A.; Varga, R. S. 16 1984 Rational approximation and interpolation. Proceedings of the United Kingdom-United States Conference held at Tampa, Florida, December 12-16, 1983. Zbl 0544.00011 5 1984 On the minimum moduli of normalized polynomials. Zbl 0582.41010Ruscheweyh, S.; Varga, R. S. 1 1984 Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040Gautschi, Walter; Varga, Richard S. 77 1983 The analysis of k-step iterative methods for linear systems from summability theory. Zbl 0487.65018Niethammer, W.; Varga, R. S. 60 1983 Zeros of sections of power series. Zbl 0507.30001Edrei, Albert; Saff, Edward B.; Varga, Richard S. 24 1983 A note on the sharpness of J. L. Walsh’s theorem and its extensions for interpolation in the roots of unity. Zbl 0524.30026Saff, E. B.; Varga, R. S. 13 1983 Theorems of Stein-Rosenberg type. III. The singular case. Zbl 0487.65017Buoni, John J.; Neumann, Michael; Varga, Richard S. 17 1982 Topics in polynomial and rational interpolation and approximation. Zbl 0484.30023Varga, Richard S. 13 1982 On the overconvergence of complex interpolating polynomials. Zbl 0524.41001Szabados, Jozsef; Varga, R. S. 4 1982 On the LU factorization of M-matrices: cardinality of the set \(P^q_n(A)\). Zbl 0504.15004Varga, R. S.; Cai, D.-Y. 4 1982 On the LU factorization of M-matrices. Zbl 0477.65021Varga, Richard S.; Cai, Da-Yong 15 1981 On incomplete polynomials. II. Zbl 0424.41004Saff, E. B.; Varga, R. S. 12 1981 An extension of the Eneström-Kakeya theorem and its sharpness. Zbl 0455.30006Anderson, N.; Saff, E. B.; Varga, R. S. 12 1981 On the zeros of generalized Bessel polynomials. II. Zbl 0467.33004de Bruin, M. G.; Saff, E. B.; Varga, R. S. 10 1981 On lacunary incomplete polynomials. Zbl 0438.42011Saff, Edward B.; Varga, Richard S. 8 1981 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,531 Authors 95 Varga, Richard Steven 77 Evans, David John 76 Hadjidimos, Apostolos 55 Neumann, Michael 49 Bai, Zhongzhi 40 Huang, Ting-Zhu 38 Mohanty, Ranjan Kumar 38 Wang, Yuanming 31 Cvetković, Ljiljana 27 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 Axelsson, Axel Owe Holger 18 Frommer, Andreas 18 Kostić, Vladimir R. 18 Martins, Maria Madalena 18 Mishra, Debasisha 18 Sharma, Ambikeshwar 17 Galligani, Emanuele 17 Li, Chaoqian 17 Liu, Jianzhou 17 Milovanović, Gradimir V. 17 Missirlis, Nikolaos M. 17 Niethammer, Wilhelm 16 Liu, Xingping 16 Pejčev, Aleksandar V. 15 Li, Changjun 15 Li, Cuixia 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 Nabben, Reinhard 14 Tzoumas, Michael G. 14 Wu, Shiliang 13 Bru, Rafael 13 Li, Xiezhang 13 Lipitakis, Elias A. 13 Reichel, Lothar 13 Rojo, Oscar L. 13 Serra-Capizzano, Stefano 13 Usmani, Riaz A. 13 Wang, Song 12 Agarwal, Ravi P. 12 Ciarlet, Philippe Gaston 12 Galanis, Sofoklis 12 Golub, Gene Howard 12 Korotov, Sergey 12 Wang, Chuanlong 12 Wei, Yimin 11 Berman, Abraham S. 11 Gu, Tongxiang 11 Ishihara, Kazuo 11 Li, Wen 11 Saridakis, Yiannis G. 11 Trefethen, Lloyd Nicholas 11 Vulkov, Lubin G. 11 Wang, Hong 10 Fiedler, Miroslav 10 Guo, Chun-Hua 10 Gutknecht, Martin H. 10 Jha, Navnit 10 Kellogg, Bruce 10 Kumar, Manoj 10 Ma, Changfeng 10 Sisler, Miroslav 10 Szulc, Tomasz 10 Tsatsomeros, Michael J. 10 Wang, Deren 10 Yeyios, A. K. 10 Young, David M. jun. 10 Zhao, Jianxing 9 Cao, Zhihao 9 Gautschi, Walter 9 Koleva, Miglena Nikolaeva 9 Li, Houbiao 9 Mezzadri, Francesco 9 Muroya, Yoshiaki 9 Noor, Muhammad Aslam 9 Saad, Yousef 9 Sivakumar, Koratti Chengalrayan 9 Zhang, Jun 9 Zhang, Litao 8 Andrievskii, Vladimir V. 8 Avdelas, George 8 Benzi, Michele 8 Birkhoff, Garrett ...and 4,431 more Authors all top 5 Cited in 489 Serials 529 Linear Algebra and its Applications 334 Journal of Computational and Applied Mathematics 308 Numerische Mathematik 199 Applied Mathematics and Computation 174 Journal of Approximation Theory 145 International Journal of Computer Mathematics 136 Journal of Computational Physics 126 Mathematics of Computation 121 Journal of Mathematical Analysis and Applications 110 Computers & Mathematics with Applications 90 Applied Numerical Mathematics 83 Computing 65 BIT 62 Numerical Algorithms 59 Numerical Linear Algebra with Applications 53 Computer Methods in Applied Mechanics and Engineering 51 Calcolo 41 Constructive Approximation 40 Linear and Multilinear Algebra 38 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 33 Proceedings of the American Mathematical Society 31 Aplikace Matematiky 30 Numerical Methods for Partial Differential Equations 28 Mathematics and Computers in Simulation 28 Applied Mathematics Letters 27 Journal of Optimization Theory and Applications 26 International Journal for Numerical Methods in Engineering 25 SIAM Journal on Scientific Computing 24 International Journal for Numerical Methods in Fluids 24 SIAM Journal on Algebraic and Discrete Methods 23 BIT. 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Serie Quarta 6 Theoretical Computer Science 6 Systems & Control Letters 6 Acta Applicandae Mathematicae ...and 389 more Serials all top 5 Cited in 58 Fields 2,795 Numerical analysis (65-XX) 800 Linear and multilinear algebra; matrix theory (15-XX) 688 Partial differential equations (35-XX) 504 Approximations and expansions (41-XX) 311 Ordinary differential equations (34-XX) 248 Functions of a complex variable (30-XX) 248 Fluid mechanics (76-XX) 185 Operations research, mathematical programming (90-XX) 149 Operator theory (47-XX) 144 Combinatorics (05-XX) 117 Probability theory and stochastic processes (60-XX) 117 Biology and other natural sciences (92-XX) 105 Systems theory; control (93-XX) 101 Special functions (33-XX) 91 Calculus of variations and optimal control; optimization (49-XX) 84 Computer science (68-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 70 Real functions (26-XX) 68 Number theory (11-XX) 66 Mechanics of deformable solids (74-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Integral equations (45-XX) 55 Statistical mechanics, structure of matter (82-XX) 46 Statistics (62-XX) 40 Classical thermodynamics, heat transfer (80-XX) 36 Optics, electromagnetic theory (78-XX) 35 Difference and functional equations (39-XX) 31 Functional analysis (46-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Information and communication theory, circuits (94-XX) 24 Potential theory (31-XX) 22 History and biography (01-XX) 19 Integral transforms, operational calculus (44-XX) 18 Field theory and polynomials (12-XX) 18 Sequences, series, summability (40-XX) 18 Geophysics (86-XX) 17 General topology (54-XX) 17 Quantum theory (81-XX) 11 Measure and integration (28-XX) 11 Convex and discrete geometry (52-XX) 9 Group theory and generalizations (20-XX) 9 Mechanics of particles and systems (70-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Manifolds and cell complexes (57-XX) 5 Astronomy and astrophysics (85-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Algebraic geometry (14-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 3 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Abstract harmonic analysis (43-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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