Edit Profile (opens in new tab) Van der Vorst, Henk Albertus Co-Author Distance Author ID: van-der-vorst.henk-a Published as: van der Vorst, Henk A.; van der Vorst, H. A.; Van der Vorst, Henk A.; Van der Vorst, H. A.; van der Vorst, Henk; van der Horst, Henk A.; Van der Vorst, Henk; Van der Vorst, H. more...less Further Spellings: Vorst, Henk Albertus van der Homepage: https://www.staff.science.uu.nl/~vorst102/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 99 Publications since 1977, including 5 Books 10 Contributions as Editor Biographic References: 1 Publication Co-Authors: 66 Co-Authors with 76 Joint Publications 2,539 Co-Co-Authors all top 5 Co-Authors 33 single-authored 20 Sleijpen, Gerard L. G. 6 Duff, Iain S. 6 Fokkema, Diederik R. 5 Chan, Tony Fan-Cheong 4 Dongarra, Jack J. 3 Demmel, James Weldon 3 Golub, Gene Howard 3 Magolu monga Made, Mardochée 3 Rommes, Joost 3 te Riele, Herman 3 van der Sluis, Abraham 3 Van Dooren, Paul M. 3 Vuik, Cornelis 2 Bochev, M. A. 2 Bomhof, Christiaan Willem 2 Booten, Albert G. L. 2 Dekker, Kees 2 Dekker, Th. J. 2 Hadjidimos, Apostolos 2 Hochstenbach, Michiel E. 2 Huang, Yunqing 2 Meijerink, J. A. 2 Saad, Yousef 2 Sorensen, Danny C. 2 ter Maten, E. Jan W. 1 Axelsson, Axel Owe Holger 1 Bai, Zhaojun 1 Barrett, Richard K. 1 Berry, Michael W. 1 Bisseling, Rob H. 1 Bomhof, W. 1 Borchers, Wolfgang 1 Brandts, Jan H. 1 de Sturler, Eric 1 Depillis, Lisette 1 Donato, June M. 1 Eijkhout, Victor L. 1 Elman, Howard C. 1 Freund, Ronal 1 Frommer, Andreas 1 Giraud, Luc 1 Goedbloed, J. P. 1 Heath, Michael T. 1 Kelley, Tim 1 Kooper, M. N. 1 Kuijlaars, Arno B. J. 1 Lippert, Thomas 1 Meijerbrink, Ellen 1 Michielse, Peter H. 1 Modersitzki, Jan 1 Paige, Christopher C. 1 Parlett, Beresford Neill 1 Philippe, Bernard J. 1 Poedts, Stefaan 1 Pozo, Roldan 1 Romine, Charles H. 1 Ruhe, Axel 1 Schenk, Olaf 1 Schilders, Wilhelmus H. A. 1 Schilling, Klaus-Jürgen 1 Schlichting, J. J. F. M. 1 Tang, Wei-Pai 1 van den Eshof, Jasper 1 van Dorsselaer, Jos L. M. 1 Wathen, Andrew John 1 Ye, Qiang all top 5 Serials 10 Journal of Computational and Applied Mathematics 6 SIAM Journal on Scientific Computing 5 Parallel Computing 5 Numerical Linear Algebra with Applications 4 SIAM Journal on Scientific and Statistical Computing 4 Applied Numerical Mathematics 3 Journal of Computational Physics 3 SIAM Journal on Matrix Analysis and Applications 3 Numerical Algorithms 3 Linear Algebra and its Applications 2 Computer Physics Communications 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Natural Science Journal of Xiangtan University 2 Nieuw Archief voor Wiskunde. Vierde Serie 2 Cambridge Monographs on Applied and Computational Mathematics 2 Software - Environments - Tools 1 The Australian Mathematical Society Gazette 1 BIT 1 Computing 1 Numerische Mathematik 1 CWI Quarterly 1 FGCS. Future Generation Computer Systems 1 SIAM Review 1 ETNA. Electronic Transactions on Numerical Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 Advances in Parallel Computing 1 Special Topics in Supercomputing 1 Mathematics in Industry all top 5 Fields 103 Numerical analysis (65-XX) 11 General and overarching topics; collections (00-XX) 10 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Partial differential equations (35-XX) 4 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 3 History and biography (01-XX) 3 Information and communication theory, circuits (94-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 4,078 times in 2,965 Documents Cited by ▼ Year ▼ BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. Zbl 0761.65023 Van der Vorst, H. A. 1,168 1992 An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020 Meijerink, J. A.; van der Vorst, Henk A. 327 1977 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023 Sleijpen, Gerard L. G.; van der Vorst, Henk A. 213 1996 Iterative Krylov methods for large linear systems. Zbl 1023.65027 van der Vorst, Henk A. 208 2003 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 The rate of convergence of conjugate gradients. Zbl 0596.65015 van der Sluis, A.; van der Vorst, Henk A. 103 1986 Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035 Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. 98 1996 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036 Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 94 1995 Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop ‘Model order reduction, coupled problems and optimization’, Leiden, The Netherlands, September 19–23, 2005. Zbl 1143.65004 92 2008 Iterative solution of linear systems in the 20th century. Zbl 0965.65051 Saad, Yousef; van der Vorst, Henk A. 87 2000 GMRESR: A family of nested GMRES methods. Zbl 0839.65040 Van der Vorst, H. A.; Vuik, C. 84 1994 Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. Zbl 0924.65027 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 76 1999 Numerical linear algebra for high-performance computers. Zbl 0914.65014 Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 75 1998 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 61 1998 Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems. Zbl 0472.65028 Meijerink, J. A.; van der Vorst, Henk A. 55 1981 An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A. Zbl 0621.65022 van der Vorst, H. A. 55 1987 The superlinear convergence behaviour of GMRES. Zbl 0797.65026 Van der Vorst, H. A.; Vuik, C. 55 1993 BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027 Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R. 42 1994 Eigenvalue computation in the 20th century. Zbl 0965.65057 Golub, Gene H.; van der Vorst, Henk A. 41 2000 Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds. Zbl 1008.81508 van den Eshof, J.; Frommer, A.; Lippert, Th.; Schilling, K.; van der Vorst, H. A. 32 2002 Computational methods for large eigenvalue problems. Zbl 1028.65028 van der Vorst, Henk A. 32 2002 Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018 Sleijpen, G. L. G.; van der Vorst, H. A. 30 1996 High performance preconditioning. Zbl 0693.65027 van der Vorst, Henk A. 28 1989 Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems. Zbl 0472.65027 van der Vorst, Henk A. 26 1981 Maintaining convergence properties of BiCGStab methods in finite precision arithmetic. Zbl 0837.65030 Sleijpen, Gerard L. G.; van der Vorst, Henk A. 26 1995 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026 Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 25 1998 Reducing the effect of global communication in \(\text{GMRES} (m)\) and CG on parallel distributed memory computers. Zbl 0842.65019 de Sturler, E.; van der Vorst, H. A. 25 1995 Approximate and incomplete factorizations. Zbl 0865.65015 Chan, Tony F.; van der Vorst, Henk A. 24 1997 Parallel numerical linear algebra. Zbl 0793.65011 Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A. 22 1993 A vectorizable variant of some ICCG methods. Zbl 0484.65018 van der Vorst, Henk A. 22 1982 Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034 van der Vorst, Henk A. 21 1987 Generalized conjugate gradient squared. Zbl 0856.65021 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 18 1996 SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems. Zbl 0702.65042 van der Sluis, A.; van der Vorst, H. A. 17 1990 Accelerated inexact Newton schemes for large systems of nonlinear equations. Zbl 0916.65050 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 17 1998 Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039 van der Vorst, Henk A.; Ye, Qiang 15 2000 Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems. Zbl 0983.65046 Sleijpen, Gerard L. G.; Van der Vorst, Henk A.; Modersitzki, Jan 15 2000 The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035 Van der Sluis, A.; Van der Vorst, H. A. 15 1987 Solving linear systems on vector and shared memory computers. Zbl 0770.65009 Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 15 1990 The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034 Van der Vorst, H. A. 14 1990 Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060 Magolu monga Made, M.; van der Vorst, H. A. 13 2001 Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 13 1995 A comparison of some GMRES-like methods. Zbl 0749.65027 Vuik, C.; Van der Vorst, H. A. 13 1992 The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021 van der Vorst, H. A. 12 1986 Conjugate gradient type methods and preconditioning. Zbl 0659.65033 Van der Vorst, Henk A.; Dekker, Kees 12 1988 Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034 van der Vorst, Henk A. 12 2009 150 years old and still alive: Eigenproblems. Zbl 0881.65026 van der Vorst, Henk A.; Golub, Gene H. 11 1997 Closer to the solution: Iterative linear solvers. Zbl 0881.65025 Golub, Gene H.; van der Vorst, Henk A. 10 1997 Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044 van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A. 9 2000 Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020 Van der Vorst, Henk A. 8 1987 ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036 van der Vorst, Henk A. 8 1989 Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028 Hochstenbach, Michiel E.; van der Vorst, Henk A. 8 2003 Stability control for approximate implicit time stepping schemes with minimum residual iterations. Zbl 0941.65074 Botchev, Mikhail A.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 7 1999 Efficient and reliable iterative methods for linear systems. Zbl 1013.65025 van der Vorst, Henk A. 7 2002 Data transport in Wang’s partition method. Zbl 0638.65021 Michielse, Peter H.; Van der Vorst, Henk A. 7 1988 Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034 Huang, Yunqing; Van der Vorst, Henk A. 7 1989 Application of the implicitly updated Arnoldi method with a complex shift-and-invert strategy in MHD. Zbl 0822.76070 Kooper, M. N.; van der Vorst, H. A.; Poedts, S.; Goedbloed, J. P. 6 1995 A generalized Lanczos scheme. Zbl 0493.65018 van der Vorst, Henk A. 6 1982 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030 Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 5 1998 An overview of approaches for the stable computation of hybrid BiCG methods. Zbl 0856.65022 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 5 1995 Linear system solvers: Sparse iterative methods. Zbl 0865.65014 van der Vorst, Henk A.; Chan, Tony F. 5 1997 Preconditioning for eigenproblems. Zbl 0980.65041 Sleijpen, Gerard L. G.; van der Vorst, H. A. 4 1999 A parallel nearly implicit time-stepping scheme. Zbl 0991.65067 Botchev, Mike A.; van der Vorst, Henk A. 3 2001 The effect of incomplete decomposition preconditioning on the convergence of conjugate gradients. Zbl 0803.65061 Van der Vorst, Henk A.; Sleijpen, Gerard G. L. 3 1993 Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. Zbl 1071.65557 Magolu monga Made, M.; van der Vorst, Henk A. 3 2002 A parallel linear system solver for circuit simulation problems. Zbl 1051.65028 Bomhof, C. W.; van der Vorst, H. A. 3 2000 A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171 Magolu monga Made, M.; van der Vorst, H. A. 2 2001 Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013 Van der Vorst, Henk A. 2 1996 Vectorization of linear recurrence relations. Zbl 0664.65120 van der Vorst, H. A.; Dekker, K. 2 1989 Conjugate gradient type methods for nonsymmetric linear systems. Zbl 0785.65042 van der Vorst, H. A. 2 1992 Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039 Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H. 2 1996 A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035 van der Vorst, Henk A.; Sleijpen, Gerard L. G. 2 1996 Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051 van der Vorst, Henk A. 2 2004 Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028 Huang, Yunqing; Van der Vorst, Henk A. 2 1990 Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024 Van der Vorst, Henk A. 2 1991 A parallelizable GMRES-type method for \(p\)-cyclic matrices, with applications in circuit simulation. Zbl 1014.65070 Bomhof, W.; van der Vorst, H. A. 1 2001 Jacobi-Davidson methods and preconditioning with applications in pole-zero analysis. Zbl 1087.65546 Rommes, J.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 (M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028 van der Vorst, Henk A. 1 1987 Optimal iteration methods for large linear systems of equations. Zbl 0807.76066 Sleijpen, G. L. G.; van der Vorst, H. A. 1 1993 Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060 Van der Vorst, Henk A. 1 1994 Parallel preconditioning for sparse linear equations. Zbl 0925.65047 Van der Vorst, H. A.; Chan, T. F. 1 1996 Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015 Van der Vorst, H. A.; Sleijpen, G. L. G. 1 1998 The convergence of Krylov methods and Ritz values. Zbl 1060.65582 Brandts, Jan; van der Vorst, Henk 1 2004 The application of preconditioned Jacobi-Davidson methods in pole-zero analysis. Zbl 1173.65317 Rommes, J.; Bomhof, C. W.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 Subspace iteration for eigenproblems. Zbl 0871.65028 van der Vorst, Henk 1 1996 Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021 Schlichting, J. J. F. M.; van der Vorst, H. A. 1 1989 Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048 van der Vorst, Henk A. 1 2000 Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034 van der Vorst, Henk A. 12 2009 Model order reduction: Theory, research aspects and applications. Selected papers based on the presentations at the workshop ‘Model order reduction, coupled problems and optimization’, Leiden, The Netherlands, September 19–23, 2005. Zbl 1143.65004 92 2008 Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051 van der Vorst, Henk A. 2 2004 Jacobi-Davidson methods and preconditioning with applications in pole-zero analysis. Zbl 1087.65546 Rommes, J.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 The convergence of Krylov methods and Ritz values. Zbl 1060.65582 Brandts, Jan; van der Vorst, Henk 1 2004 The application of preconditioned Jacobi-Davidson methods in pole-zero analysis. Zbl 1173.65317 Rommes, J.; Bomhof, C. W.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 Iterative Krylov methods for large linear systems. Zbl 1023.65027 van der Vorst, Henk A. 208 2003 Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028 Hochstenbach, Michiel E.; van der Vorst, Henk A. 8 2003 Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds. Zbl 1008.81508 van den Eshof, J.; Frommer, A.; Lippert, Th.; Schilling, K.; van der Vorst, H. A. 32 2002 Computational methods for large eigenvalue problems. Zbl 1028.65028 van der Vorst, Henk A. 32 2002 Efficient and reliable iterative methods for linear systems. Zbl 1013.65025 van der Vorst, Henk A. 7 2002 Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. Zbl 1071.65557 Magolu monga Made, M.; van der Vorst, Henk A. 3 2002 Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060 Magolu monga Made, M.; van der Vorst, H. A. 13 2001 A parallel nearly implicit time-stepping scheme. Zbl 0991.65067 Botchev, Mike A.; van der Vorst, Henk A. 3 2001 A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171 Magolu monga Made, M.; van der Vorst, H. A. 2 2001 A parallelizable GMRES-type method for \(p\)-cyclic matrices, with applications in circuit simulation. Zbl 1014.65070 Bomhof, W.; van der Vorst, H. A. 1 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 Iterative solution of linear systems in the 20th century. Zbl 0965.65051 Saad, Yousef; van der Vorst, Henk A. 87 2000 Eigenvalue computation in the 20th century. Zbl 0965.65057 Golub, Gene H.; van der Vorst, Henk A. 41 2000 Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039 van der Vorst, Henk A.; Ye, Qiang 15 2000 Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems. Zbl 0983.65046 Sleijpen, Gerard L. G.; Van der Vorst, Henk A.; Modersitzki, Jan 15 2000 Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044 van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A. 9 2000 A parallel linear system solver for circuit simulation problems. Zbl 1051.65028 Bomhof, C. W.; van der Vorst, H. A. 3 2000 Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048 van der Vorst, Henk A. 1 2000 Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. Zbl 0924.65027 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 76 1999 Stability control for approximate implicit time stepping schemes with minimum residual iterations. Zbl 0941.65074 Botchev, Mikhail A.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 7 1999 Preconditioning for eigenproblems. Zbl 0980.65041 Sleijpen, Gerard L. G.; van der Vorst, H. A. 4 1999 Numerical linear algebra for high-performance computers. Zbl 0914.65014 Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 75 1998 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 61 1998 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026 Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 25 1998 Accelerated inexact Newton schemes for large systems of nonlinear equations. Zbl 0916.65050 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 17 1998 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030 Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 5 1998 Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015 Van der Vorst, H. A.; Sleijpen, G. L. G. 1 1998 Approximate and incomplete factorizations. Zbl 0865.65015 Chan, Tony F.; van der Vorst, Henk A. 24 1997 150 years old and still alive: Eigenproblems. Zbl 0881.65026 van der Vorst, Henk A.; Golub, Gene H. 11 1997 Closer to the solution: Iterative linear solvers. Zbl 0881.65025 Golub, Gene H.; van der Vorst, Henk A. 10 1997 Linear system solvers: Sparse iterative methods. Zbl 0865.65014 van der Vorst, Henk A.; Chan, Tony F. 5 1997 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023 Sleijpen, Gerard L. G.; van der Vorst, Henk A. 213 1996 Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035 Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. 98 1996 Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018 Sleijpen, G. L. G.; van der Vorst, H. A. 30 1996 Generalized conjugate gradient squared. Zbl 0856.65021 Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 18 1996 Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013 Van der Vorst, Henk A. 2 1996 Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039 Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H. 2 1996 A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035 van der Vorst, Henk A.; Sleijpen, Gerard L. G. 2 1996 Parallel preconditioning for sparse linear equations. Zbl 0925.65047 Van der Vorst, H. A.; Chan, T. F. 1 1996 Subspace iteration for eigenproblems. Zbl 0871.65028 van der Vorst, Henk 1 1996 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036 Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 94 1995 Maintaining convergence properties of BiCGStab methods in finite precision arithmetic. Zbl 0837.65030 Sleijpen, Gerard L. G.; van der Vorst, Henk A. 26 1995 Reducing the effect of global communication in \(\text{GMRES} (m)\) and CG on parallel distributed memory computers. Zbl 0842.65019 de Sturler, E.; van der Vorst, H. A. 25 1995 Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 13 1995 Application of the implicitly updated Arnoldi method with a complex shift-and-invert strategy in MHD. Zbl 0822.76070 Kooper, M. N.; van der Vorst, H. A.; Poedts, S.; Goedbloed, J. P. 6 1995 An overview of approaches for the stable computation of hybrid BiCG methods. Zbl 0856.65022 Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 5 1995 GMRESR: A family of nested GMRES methods. Zbl 0839.65040 Van der Vorst, H. A.; Vuik, C. 84 1994 BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027 Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R. 42 1994 Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060 Van der Vorst, Henk A. 1 1994 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 The superlinear convergence behaviour of GMRES. Zbl 0797.65026 Van der Vorst, H. A.; Vuik, C. 55 1993 Parallel numerical linear algebra. Zbl 0793.65011 Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A. 22 1993 The effect of incomplete decomposition preconditioning on the convergence of conjugate gradients. Zbl 0803.65061 Van der Vorst, Henk A.; Sleijpen, Gerard G. L. 3 1993 Optimal iteration methods for large linear systems of equations. Zbl 0807.76066 Sleijpen, G. L. G.; van der Vorst, H. A. 1 1993 BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. Zbl 0761.65023 Van der Vorst, H. A. 1,168 1992 A comparison of some GMRES-like methods. Zbl 0749.65027 Vuik, C.; Van der Vorst, H. A. 13 1992 Conjugate gradient type methods for nonsymmetric linear systems. Zbl 0785.65042 van der Vorst, H. A. 2 1992 Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024 Van der Vorst, Henk A. 2 1991 SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems. Zbl 0702.65042 van der Sluis, A.; van der Vorst, H. A. 17 1990 Solving linear systems on vector and shared memory computers. Zbl 0770.65009 Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 15 1990 The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034 Van der Vorst, H. A. 14 1990 Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028 Huang, Yunqing; Van der Vorst, Henk A. 2 1990 High performance preconditioning. Zbl 0693.65027 van der Vorst, Henk A. 28 1989 ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036 van der Vorst, Henk A. 8 1989 Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034 Huang, Yunqing; Van der Vorst, Henk A. 7 1989 Vectorization of linear recurrence relations. Zbl 0664.65120 van der Vorst, H. A.; Dekker, K. 2 1989 Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021 Schlichting, J. J. F. M.; van der Vorst, H. A. 1 1989 Conjugate gradient type methods and preconditioning. Zbl 0659.65033 Van der Vorst, Henk A.; Dekker, Kees 12 1988 Data transport in Wang’s partition method. Zbl 0638.65021 Michielse, Peter H.; Van der Vorst, Henk A. 7 1988 An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A. Zbl 0621.65022 van der Vorst, H. A. 55 1987 Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034 van der Vorst, Henk A. 21 1987 The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035 Van der Sluis, A.; Van der Vorst, H. A. 15 1987 Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020 Van der Vorst, Henk A. 8 1987 (M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028 van der Vorst, Henk A. 1 1987 The rate of convergence of conjugate gradients. Zbl 0596.65015 van der Sluis, A.; van der Vorst, Henk A. 103 1986 The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021 van der Vorst, H. A. 12 1986 A vectorizable variant of some ICCG methods. Zbl 0484.65018 van der Vorst, Henk A. 22 1982 A generalized Lanczos scheme. Zbl 0493.65018 van der Vorst, Henk A. 6 1982 Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems. Zbl 0472.65028 Meijerink, J. A.; van der Vorst, Henk A. 55 1981 Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems. Zbl 0472.65027 van der Vorst, Henk A. 26 1981 An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020 Meijerink, J. A.; van der Vorst, Henk A. 327 1977 all cited Publications top 5 cited Publications all top 5 Cited by 4,440 Authors 37 Vuik, Cornelis 32 Jia, Zhongxiao 25 Benner, Peter 24 Huang, Ting-Zhu 23 Lin, Wen-Wei 21 Van der Vorst, Henk Albertus 21 Zhang, Jun 20 Simoncini, Valeria 19 Bochev, M. A. 18 Saad, Yousef 18 Vincent, Stéphane 17 Axelsson, Axel Owe Holger 17 Ferronato, Massimiliano 17 Sleijpen, Gerard L. G. 17 Van Gijzen, Martin Bastiaan 16 Gravvanis, George A. 16 Pini, Giorgio 16 Sengupta, Tapan Kumar 16 Zhang, Shao-Liang 15 Bergamaschi, Luca 15 Nakatsukasa, Yuji 15 Sogabe, Tomohiro 15 Turner, Ian William 14 Caltagirone, Jean-Paul 14 Cao, Zhihao 14 Gambolati, Giuseppe 14 Wittum, Gabriel 14 Wu, Gang 13 Bai, Zhongzhi 13 Frommer, Andreas 13 Gu, Tongxiang 13 Hochstenbach, Michiel E. 13 Zhang, Lei-Hong 12 Jarlebring, Elias 12 Liu, Xingping 12 Miao, Cun-Qiang 12 Reichel, Lothar 12 Román, Jose E. 12 Smooke, Mitchell D. 12 Szyld, Daniel B. 12 Toutounian, Faezeh 12 Wang, Weichung 12 Wathen, Andrew John 11 Chamakuri, Nagaiah 11 Gu, Xian-Ming 11 Huang, Tsungming 11 Li, Rencang 10 Carpentieri, Bruno 10 Codina, Ramon 10 de Sturler, Eric 10 Kressner, Daniel 10 Liu, Fawang 10 Mehrmann, Volker 10 Yang, Chao 10 Ye, Qiang 9 Baglama, James 9 Bennett, Beth Anne V. 9 Benzi, Michele 9 Dai, Hua 9 Forsyth, Peter A. 9 Kalita, Jiten C. 9 Khojasteh Salkuyeh, Davod 9 Morgan, Ronald B. 9 Neymeyr, Klaus 9 Niu, Qiang 9 Oosterlee, Cornelis Willebrordus 9 Pan, Victor Yakovlevich 9 Pestana, Jennifer 9 Tůma, Miroslav 9 Vanroose, Wim 9 Wei, Yimin 9 Yun, Jae Heon 9 Zhang, Litao 9 Zuo, Xianyu 8 Bai, Zhaojun 8 Baiges, Joan 8 Brezinski, Claude 8 Evans, David John 8 Greenbaum, Anne 8 Grigori, Laura 8 Güttel, Stefan 8 Imakura, Akira 8 Jing, Yanfei 8 Li, Liang 8 Manguoglu, Murat 8 O’Leary, Dianne P. 8 Quarteroni, Alfio M. 8 Sandu, Adrian 8 Schweitzer, Marcel 8 Voss, Heinrich 8 Wille, Sven Øivind 8 Zhang, Jianhua 8 Zhao, Yongliang 7 Abe, Kuniyoshi 7 Bucchignani, Edoardo 7 Calvetti, Daniela 7 Carson, Erin Claire 7 Chien, Cheng-Sheng 7 Du, Kui 7 Elman, Howard C. ...and 4,340 more Authors all top 5 Cited in 318 Serials 283 Journal of Computational Physics 231 Journal of Computational and Applied Mathematics 128 Applied Numerical Mathematics 128 Linear Algebra and its Applications 122 Computer Methods in Applied Mechanics and Engineering 104 SIAM Journal on Scientific Computing 97 Applied Mathematics and Computation 95 Computers & Mathematics with Applications 87 Numerical Linear Algebra with Applications 78 Computers and Fluids 67 Journal of Scientific Computing 65 BIT 63 Numerical Algorithms 56 Numerische Mathematik 55 Computer Physics Communications 50 SIAM Journal on Matrix Analysis and Applications 44 International Journal for Numerical Methods in Engineering 40 International Journal for Numerical Methods in Fluids 35 International Journal of Computer Mathematics 26 Journal of Fluid Mechanics 25 Mathematics and Computers in Simulation 24 Applied Mathematical Modelling 23 Computing 22 Computational Mechanics 22 Engineering Analysis with Boundary Elements 22 Computational Geosciences 20 Mathematics of Computation 20 Japan Journal of Industrial and Applied Mathematics 18 Physics of Fluids 18 Computational and Applied Mathematics 16 ETNA. Electronic Transactions on Numerical Analysis 15 Computing and Visualization in Science 14 SIAM Journal on Numerical Analysis 14 Optimization Methods & Software 13 Mathematical and Computer Modelling 13 Advances in Computational Mathematics 13 Journal of Applied Mathematics and Computing 12 International Journal of Numerical Methods for Heat & Fluid Flow 11 Calcolo 11 Computational Optimization and Applications 11 International Journal of Computational Methods 11 Communications in Computational Physics 10 Journal of the Franklin Institute 10 Applications of Mathematics 9 Numerical Methods for Partial Differential Equations 9 SIAM Review 9 Russian Journal of Numerical Analysis and Mathematical Modelling 9 International Journal of Computational Fluid Dynamics 9 Engineering Computations 9 East Asian Journal on Applied Mathematics 8 Journal of Optimization Theory and Applications 8 Computational Mathematics and Mathematical Physics 8 Communications in Numerical Methods in Engineering 8 Mathematical Problems in Engineering 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 Archives of Computational Methods in Engineering 7 Automatica 7 SIAM Journal on Optimization 7 Journal of Mathematical Sciences (New York) 7 Combustion Theory and Modelling 7 GAMM-Mitteilungen 7 Science China. Mathematics 6 International Journal for Numerical and Analytical Methods in Geomechanics 6 Inverse Problems 6 Systems & Control Letters 6 COMPEL 6 Applied Mathematics Letters 6 Journal of Applied Mathematics 6 Acta Numerica 6 Journal of Computational Acoustics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 International Journal of Heat and Mass Transfer 5 International Journal of Solids and Structures 5 Wave Motion 5 Journal of Parallel and Distributed Computing 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Parallel Algorithms and Applications 5 European Journal of Mechanics. B. Fluids 5 Lobachevskii Journal of Mathematics 5 Multiscale Modeling & Simulation 4 Journal of Engineering Mathematics 4 Parallel Computing 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Economic Dynamics & Control 4 Computational Mathematics and Modeling 4 Pattern Recognition 4 Mathematical Programming. Series A. Series B 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Advances in Engineering Software 4 Multibody System Dynamics 4 Abstract and Applied Analysis 4 International Journal of Numerical Modelling 4 Optimization and Engineering 4 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 4 S\(\vec{\text{e}}\)MA Journal 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 ACM Transactions on Mathematical Software 3 Numerical Functional Analysis and Optimization ...and 218 more Serials all top 5 Cited in 47 Fields 2,264 Numerical analysis (65-XX) 681 Fluid mechanics (76-XX) 494 Partial differential equations (35-XX) 292 Linear and multilinear algebra; matrix theory (15-XX) 198 Mechanics of deformable solids (74-XX) 108 Computer science (68-XX) 106 Optics, electromagnetic theory (78-XX) 102 Operations research, mathematical programming (90-XX) 92 Systems theory; control (93-XX) 77 Statistical mechanics, structure of matter (82-XX) 75 Geophysics (86-XX) 74 Classical thermodynamics, heat transfer (80-XX) 68 Biology and other natural sciences (92-XX) 60 Quantum theory (81-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 52 Ordinary differential equations (34-XX) 38 Statistics (62-XX) 36 Information and communication theory, circuits (94-XX) 34 Integral equations (45-XX) 33 Operator theory (47-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 Probability theory and stochastic processes (60-XX) 27 Mechanics of particles and systems (70-XX) 25 Dynamical systems and ergodic theory (37-XX) 17 Approximations and expansions (41-XX) 14 Combinatorics (05-XX) 12 Real functions (26-XX) 10 Differential geometry (53-XX) 10 Astronomy and astrophysics (85-XX) 7 History and biography (01-XX) 6 Functions of a complex variable (30-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Algebraic geometry (14-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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