Edit Profile Van der Vorst, Henk Albertus Compute Distance To: Compute Author ID: van-der-vorst.henk-a Published as: Van der Vorst, H.; Van der Vorst, H. A.; Van der Vorst, Henk; Van der Vorst, Henk A.; van der Horst, Henk A.; van der Vorst, H. A.; van der Vorst, Henk; van der Vorst, Henk A. Homepage: https://www.staff.science.uu.nl/~vorst102/ External Links: MGP · Wikidata · dblp · GND Documents Indexed: 110 Publications since 1977, including 13 Books Biographic References: 1 Publication 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. 4 te Riele, Herman 3 Dekker, Th. J. 3 Demmel, James Weldon 3 Golub, Gene Howard 3 Magolu monga Made, Mardochée 3 Rommes, Joost 3 van der Sluis, Abraham 3 Van Dooren, Paul M. 3 Vuik, Cornelis 2 Bomhof, Christiaan Willem 2 Booten, Albert G. L. 2 Dekker, Kees 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 Botchev, Mike A. 1 Botchev, Mikhail A. 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, Chris 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 Mathematics in Industry all top 5 Fields 104 Numerical analysis (65-XX) 11 General and overarching topics; collections (00-XX) 11 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 85 Publications have been cited 3,647 times in 2,597 Documents Cited by ▼ Year ▼ BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. Zbl 0761.65023Van der Vorst, H. A. 979 1992 An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020Meijerink, J. A.; van der Vorst, Henk A. 305 1977 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.) 260 2000 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 248 1993 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023Sleijpen, Gerard L. G.; van der Vorst, Henk A. 187 1996 Iterative Krylov methods for large linear systems. Zbl 1023.65027van der Vorst, Henk A. 163 2003 The rate of convergence of conjugate gradients. Zbl 0596.65015van der Sluis, A.; van der Vorst, Henk A. 93 1986 Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. 87 1996 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 84 1995 Iterative solution of linear systems in the 20th century. Zbl 0965.65051Saad, Yousef; van der Vorst, Henk A. 74 2000 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. Zbl 0924.65027Fokkema, Diederik R.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 69 1999 GMRESR: A family of nested GMRES methods. Zbl 0839.65040Van der Vorst, H. A.; Vuik, C. 68 1994 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 1143.65004Schilders, Wilhelmus H. A. (ed.); van der Vorst, Henk A. (ed.); Rommes, Joost (ed.) 61 2008 Guidelines for the usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems. Zbl 0472.65028Meijerink, J. A.; van der Vorst, Henk A. 53 1981 An iterative solution method for solving \(f(A)x=b\), using Krylov subspace information obtained for the symmetric positive definite matrix A. Zbl 0621.65022van der Vorst, H. A. 50 1987 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 47 1998 The superlinear convergence behaviour of GMRES. Zbl 0797.65026Van der Vorst, H. A.; Vuik, C. 46 1993 BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R. 34 1994 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 34 1990 Eigenvalue computation in the 20th century. Zbl 0965.65057Golub, Gene H.; van der Vorst, Henk A. 30 2000 Computational methods for large eigenvalue problems. Zbl 1028.65028van der Vorst, Henk A. 28 2002 High performance preconditioning. Zbl 0693.65027van der Vorst, Henk A. 28 1989 Maintaining convergence properties of BiCGStab methods in finite precision arithmetic. Zbl 0837.65030Sleijpen, Gerard L. G.; van der Vorst, Henk A. 26 1995 Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems. Zbl 0472.65027van der Vorst, Henk A. 25 1981 Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds. Zbl 1008.81508van den Eshof, J.; Frommer, A.; Lippert, Th.; Schilling, K.; van der Vorst, H. A. 24 2002 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 24 1998 Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018Sleijpen, G. L. G.; van der Vorst, H. A. 23 1996 Parallel numerical linear algebra. Zbl 0793.65011Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A. 22 1993 A vectorizable variant of some ICCG methods. Zbl 0484.65018van der Vorst, Henk A. 22 1982 Approximate and incomplete factorizations. Zbl 0865.65015Chan, Tony F.; van der Vorst, Henk A. 21 1997 Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034van der Vorst, Henk A. 21 1987 Reducing the effect of global communication in \(\text{GMRES} (m)\) and CG on parallel distributed memory computers. Zbl 0842.65019de Sturler, E.; van der Vorst, H. A. 18 1995 Accelerated inexact Newton schemes for large systems of nonlinear equations. Zbl 0916.65050Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 16 1998 Generalized conjugate gradient squared. Zbl 0856.65021Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 16 1996 SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems. Zbl 0702.65042van der Sluis, A.; van der Vorst, H. A. 16 1990 The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034Van der Vorst, H. A. 14 1990 The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035Van der Sluis, A.; Van der Vorst, H. A. 14 1987 Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060Magolu monga Made, M.; van der Vorst, H. A. 13 2001 Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems. Zbl 0983.65046Sleijpen, Gerard L. G.; Van der Vorst, Henk A.; Modersitzki, Jan 13 2000 Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 13 1995 Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039van der Vorst, Henk A.; Ye, Qiang 12 2000 Closer to the solution: Iterative linear solvers. Zbl 0881.65025Golub, Gene H.; van der Vorst, Henk A. 11 1997 A comparison of some GMRES-like methods. Zbl 0749.65027Vuik, C.; van der Vorst, H. A. 11 1992 Conjugate gradient type methods and preconditioning. Zbl 0659.65033Van der Vorst, Henk A.; Dekker, Kees 11 1988 The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021van der Vorst, H. A. 11 1986 150 years old and still alive: Eigenproblems. Zbl 0881.65026van der Vorst, Henk A.; Golub, Gene H. 10 1997 Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034Huang, Yunqing; Van der Vorst, Henk A. 10 1989 A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035van der Vorst, Henk A.; Sleijpen, Gerard L. G. 9 1996 Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034van der Vorst, Henk A. 8 2009 Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028Hochstenbach, Michiel E.; van der Vorst, Henk A. 8 2003 ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036van der Vorst, Henk A. 8 1989 Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020Van der Vorst, Henk A. 8 1987 Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A. 7 2000 Data transport in Wang’s partition method. Zbl 0638.65021Michielse, Peter H.; Van der Vorst, Henk A. 7 1988 Efficient and reliable iterative methods for linear systems. Zbl 1013.65025van der Vorst, Henk A. 6 2002 Stability control for approximate implicit time stepping schemes with minimum residual iterations. Zbl 0941.65074Botchev, Mikhail A.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 6 1999 An overview of approaches for the stable computation of hybrid BiCG methods. Zbl 0856.65022Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 6 1995 A generalized Lanczos scheme. Zbl 0493.65018van der Vorst, Henk A. 6 1982 Application of the implicitly updated Arnoldi method with a complex shift-and-invert strategy in MHD. Zbl 0822.76070Kooper, M. N.; van der Vorst, H. A.; Poedts, S.; Goedbloed, J. P. 5 1995 Preconditioning for eigenproblems. Zbl 0980.65041Sleijpen, Gerard L. G.; van der Vorst, H. A. 4 1999 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 4 1998 Linear system solvers: Sparse iterative methods. Zbl 0865.65014van der Vorst, Henk A.; Chan, Tony F. 4 1997 Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. Zbl 1071.65557Magolu monga Made, M.; van der Vorst, Henk A. 3 2002 A parallel nearly implicit time-stepping scheme. Zbl 0991.65067Botchev, Mike A.; van der Vorst, Henk A. 3 2001 Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051van der Vorst, Henk A. 2 2004 Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048van der Vorst, Henk A. 2 2000 A parallel linear system solver for circuit simulation problems. Zbl 1051.65028Bomhof, C. W.; van der Vorst, H. A. 2 2000 Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H. 2 1996 Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013Van der Vorst, Henk A. 2 1996 The effect of incomplete decomposition preconditioning on the convergence of conjugate gradients. Zbl 0803.65061Van der Vorst, Henk A.; Sleijpen, Gerard G. L. 2 1993 Conjugate gradient type methods for nonsymmetric linear systems. Zbl 0785.65042van der Vorst, H. A. 2 1992 Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024Van der Vorst, Henk A. 2 1991 Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028Huang, Yunqing; Van der Vorst, Henk A. 2 1990 Vectorization of linear recurrence relations. Zbl 0664.65120van der Vorst, H. A.; Dekker, K. 2 1989 Jacobi-Davidson methods and preconditioning with applications in pole-zero analysis. Zbl 1087.65546Rommes, J.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 The convergence of Krylov methods and Ritz values. Zbl 1060.65582Brandts, Jan; van der Vorst, Henk 1 2004 A parallelizable GMRES-type method for \(p\)-cyclic matrices, with applications in circuit simulation. Zbl 1014.65070Bomhof, W.; van der Vorst, H. A. 1 2001 A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171Magolu monga Made, M.; van der Vorst, H. A. 1 2001 Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015Van der Vorst, H. A.; Sleijpen, G. L. G. 1 1998 Parallel preconditioning for sparse linear equations. Zbl 0925.65047Van der Vorst, H. A.; Chan, T. F. 1 1996 Subspace iteration for eigenproblems. Zbl 0871.65028van der Vorst, Henk 1 1996 Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060Van der Vorst, Henk A. 1 1994 Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021Schlichting, J. J. F. M.; van der Vorst, H. A. 1 1989 (M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028van der Vorst, Henk A. 1 1987 Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034van der Vorst, Henk A. 8 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 1143.65004Schilders, Wilhelmus H. A. (ed.); van der Vorst, Henk A. (ed.); Rommes, Joost (ed.) 61 2008 Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051van der Vorst, Henk A. 2 2004 Jacobi-Davidson methods and preconditioning with applications in pole-zero analysis. Zbl 1087.65546Rommes, J.; van der Vorst, H. A.; ter Maten, E. J. W. 1 2004 The convergence of Krylov methods and Ritz values. Zbl 1060.65582Brandts, Jan; van der Vorst, Henk 1 2004 Iterative Krylov methods for large linear systems. Zbl 1023.65027van der Vorst, Henk A. 163 2003 Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028Hochstenbach, Michiel E.; van der Vorst, Henk A. 8 2003 Computational methods for large eigenvalue problems. Zbl 1028.65028van der Vorst, Henk A. 28 2002 Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds. Zbl 1008.81508van den Eshof, J.; Frommer, A.; Lippert, Th.; Schilling, K.; van der Vorst, H. A. 24 2002 Efficient and reliable iterative methods for linear systems. Zbl 1013.65025van der Vorst, Henk A. 6 2002 Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. Zbl 1071.65557Magolu monga Made, M.; van der Vorst, Henk A. 3 2002 Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060Magolu monga Made, M.; van der Vorst, H. A. 13 2001 A parallel nearly implicit time-stepping scheme. Zbl 0991.65067Botchev, Mike A.; van der Vorst, Henk A. 3 2001 A parallelizable GMRES-type method for \(p\)-cyclic matrices, with applications in circuit simulation. Zbl 1014.65070Bomhof, W.; van der Vorst, H. A. 1 2001 A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171Magolu monga Made, M.; van der Vorst, H. A. 1 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058Bai, Zhaojun (ed.); Demmel, James (ed.); Dongarra, Jack (ed.); Ruhe, Axel (ed.); Van der Vorst, Henk (ed.) 260 2000 Iterative solution of linear systems in the 20th century. Zbl 0965.65051Saad, Yousef; van der Vorst, Henk A. 74 2000 Eigenvalue computation in the 20th century. Zbl 0965.65057Golub, Gene H.; van der Vorst, Henk A. 30 2000 Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems. Zbl 0983.65046Sleijpen, Gerard L. G.; Van der Vorst, Henk A.; Modersitzki, Jan 13 2000 Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039van der Vorst, Henk A.; Ye, Qiang 12 2000 Computing probabilistic bounds for extreme eigenvalues of symmetric matrices with the Lanczos method. Zbl 0981.65044van Dorsselaer, Jos L. M.; Hochstenbach, Michiel E.; van der Vorst, Henk A. 7 2000 Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048van der Vorst, Henk A. 2 2000 A parallel linear system solver for circuit simulation problems. Zbl 1051.65028Bomhof, C. W.; van der Vorst, H. A. 2 2000 Jacobi-Davidson style QR and QZ algorithms for the reduction of matrix pencils. Zbl 0924.65027Fokkema, Diederik R.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 69 1999 Stability control for approximate implicit time stepping schemes with minimum residual iterations. Zbl 0941.65074Botchev, Mikhail A.; Sleijpen, Gerard L. G.; van der Vorst, Henk A. 6 1999 Preconditioning for eigenproblems. Zbl 0980.65041Sleijpen, Gerard L. G.; van der Vorst, H. A. 4 1999 Numerical linear algebra for high-performance computers. Zbl 0914.65014Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 70 1998 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 47 1998 Efficient expansion of subspaces in the Jacobi-Davidson method for standard and generalized eigenproblems. Zbl 0912.65026Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen 24 1998 Accelerated inexact Newton schemes for large systems of nonlinear equations. Zbl 0916.65050Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 16 1998 Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk 4 1998 Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015Van der Vorst, H. A.; Sleijpen, G. L. G. 1 1998 Approximate and incomplete factorizations. Zbl 0865.65015Chan, Tony F.; van der Vorst, Henk A. 21 1997 Closer to the solution: Iterative linear solvers. Zbl 0881.65025Golub, Gene H.; van der Vorst, Henk A. 11 1997 150 years old and still alive: Eigenproblems. Zbl 0881.65026van der Vorst, Henk A.; Golub, Gene H. 10 1997 Linear system solvers: Sparse iterative methods. Zbl 0865.65014van der Vorst, Henk A.; Chan, Tony F. 4 1997 A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023Sleijpen, Gerard L. G.; van der Vorst, Henk A. 187 1996 Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems. Zbl 0861.65035Sleijpen, Gerard L. G.; Booten, Albert G. L.; Fokkema, Diederik R.; Van der Vorst, Henk A. 87 1996 Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018Sleijpen, G. L. G.; van der Vorst, H. A. 23 1996 Generalized conjugate gradient squared. Zbl 0856.65021Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 16 1996 A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035van der Vorst, Henk A.; Sleijpen, Gerard L. G. 9 1996 Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H. 2 1996 Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013Van der Vorst, Henk A. 2 1996 Parallel preconditioning for sparse linear equations. Zbl 0925.65047Van der Vorst, H. A.; Chan, T. F. 1 1996 Subspace iteration for eigenproblems. Zbl 0871.65028van der Vorst, Henk 1 1996 Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A. 84 1995 Maintaining convergence properties of BiCGStab methods in finite precision arithmetic. Zbl 0837.65030Sleijpen, 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 0842.65019de Sturler, E.; van der Vorst, H. A. 18 1995 Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 13 1995 An overview of approaches for the stable computation of hybrid BiCG methods. Zbl 0856.65022Sleijpen, Gerard L. G.; Van der Vorst, Henk A. 6 1995 Application of the implicitly updated Arnoldi method with a complex shift-and-invert strategy in MHD. Zbl 0822.76070Kooper, M. N.; van der Vorst, H. A.; Poedts, S.; Goedbloed, J. P. 5 1995 GMRESR: A family of nested GMRES methods. Zbl 0839.65040Van der Vorst, H. A.; Vuik, C. 68 1994 BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R. 34 1994 Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060Van der Vorst, Henk A. 1 1994 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 248 1993 The superlinear convergence behaviour of GMRES. Zbl 0797.65026Van der Vorst, H. A.; Vuik, C. 46 1993 Parallel numerical linear algebra. Zbl 0793.65011Demmel, 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 0803.65061Van der Vorst, Henk A.; Sleijpen, Gerard G. L. 2 1993 BI-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems. Zbl 0761.65023Van der Vorst, H. A. 979 1992 A comparison of some GMRES-like methods. Zbl 0749.65027Vuik, C.; van der Vorst, H. A. 11 1992 Conjugate gradient type methods for nonsymmetric linear systems. Zbl 0785.65042van der Vorst, H. A. 2 1992 Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024Van der Vorst, Henk A. 2 1991 Solving linear systems on vector and shared memory computers. Zbl 0770.65009Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A. 34 1990 SIRT- and CG-type methods for the iterative solution of sparse linear least-squares problems. Zbl 0702.65042van der Sluis, A.; van der Vorst, H. A. 16 1990 The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034Van der Vorst, H. A. 14 1990 Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028Huang, Yunqing; Van der Vorst, Henk A. 2 1990 High performance preconditioning. Zbl 0693.65027van der Vorst, Henk A. 28 1989 Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034Huang, Yunqing; Van der Vorst, Henk A. 10 1989 ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036van der Vorst, Henk A. 8 1989 Vectorization of linear recurrence relations. Zbl 0664.65120van der Vorst, H. A.; Dekker, K. 2 1989 Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021Schlichting, J. J. F. M.; van der Vorst, H. A. 1 1989 Conjugate gradient type methods and preconditioning. Zbl 0659.65033Van der Vorst, Henk A.; Dekker, Kees 11 1988 Data transport in Wang’s partition method. Zbl 0638.65021Michielse, 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 0621.65022van der Vorst, H. A. 50 1987 Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034van der Vorst, Henk A. 21 1987 The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035Van der Sluis, A.; Van der Vorst, H. A. 14 1987 Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020Van der Vorst, Henk A. 8 1987 (M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028van der Vorst, Henk A. 1 1987 The rate of convergence of conjugate gradients. Zbl 0596.65015van der Sluis, A.; van der Vorst, Henk A. 93 1986 The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021van der Vorst, H. A. 11 1986 A vectorizable variant of some ICCG methods. Zbl 0484.65018van der Vorst, Henk A. 22 1982 A generalized Lanczos scheme. Zbl 0493.65018van 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 0472.65028Meijerink, J. A.; van der Vorst, Henk A. 53 1981 Iterative solution methods for certain sparse linear systems with a non- symmetric matrix arising from PDE-problems. Zbl 0472.65027van der Vorst, Henk A. 25 1981 An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020Meijerink, J. A.; van der Vorst, Henk A. 305 1977 all cited Publications top 5 cited Publications all top 5 Cited by 4,024 Authors 34 Vuik, Cornelis 27 Jia, Zhongxiao 22 Huang, Ting-Zhu 22 Lin, Wen-Wei 21 Van der Vorst, Henk Albertus 21 Zhang, Jun 19 Benner, Peter 18 Simoncini, Valeria 17 Axelsson, Axel Owe Holger 17 Gravvanis, George A. 17 Van Gijzen, Martin Bastiaan 16 Pini, Giorgio 16 Saad, Yousef 16 Sleijpen, Gerard L. G. 15 Bergamaschi, Luca 15 Ferronato, Massimiliano 15 Vincent, Stéphane 14 Cao, Zhihao 14 Gambolati, Giuseppe 14 Sengupta, Tapan K. 14 Turner, Ian William 14 Zhang, Shao-Liang 13 Caltagirone, Jean-Paul 13 Nakatsukasa, Yuji 12 Bai, Zhongzhi 12 Gu, Tongxiang 12 Hochstenbach, Michiel E. 12 Sogabe, Tomohiro 12 Wittum, Gabriel 12 Wu, Gang 11 Botchev, Mikhail A. 11 Jarlebring, Elias 11 Liu, Xingping 11 Reichel, Lothar 11 Román, Jose E. 11 Wang, Weichung 11 Wathen, Andrew John 10 Huang, Tsungming 10 Mehrmann, Volker 10 Morgan, Ronald B. 10 Smooke, Mitchell D. 10 Szyld, Daniel B. 10 Toutounian, Faezeh 9 Benzi, Michele 9 Chamakuri, Nagaiah 9 Forsyth, Peter A. 9 Frommer, Andreas 9 Kalita, Jiten C. 9 Khojasteh Salkuyeh, Davod 9 Miao, Cun-Qiang 9 Niu, Qiang 9 Oosterlee, Cornelis Willebrordus 9 Sandu, Adrian 9 Tůma, Miroslav 9 Vanroose, Wim 9 Wei, Yimin 9 Ye, Qiang 9 Yun, Jae Heon 9 Zuo, Xianyu 8 Brezinski, Claude 8 Calvetti, Daniela 8 Carpentieri, Bruno 8 Dai, Hua 8 de Sturler, Eric 8 Evans, David John 8 Grigori, Laura 8 Gu, Xian-Ming 8 Jing, Yanfei 8 Li, Liang 8 Liu, Fawang 8 Neymeyr, Klaus 8 O’Leary, Dianne P. 8 Pan, Victor Yakovlevich 8 Pestana, Jennifer 8 Wille, Sven Øivind 8 Zhang, Jianhua 8 Zhang, Litao 7 Abe, Kuniyoshi 7 Bai, Zhaojun 7 Bennett, Beth Anne V. 7 Bucchignani, Edoardo 7 Chien, Cheng-Sheng 7 Du, Kui 7 Imakura, Akira 7 Lipitakis, Elias A. 7 Lu, Linzhang 7 Martínez, Ángeles 7 Serra-Capizzano, Stefano 7 Vasseur, Xavier 7 Voss, Heinrich 7 Yang, Chao 6 Baglama, James 6 Cools, Siegfried 6 Dongarra, Jack J. 6 Druskin, Vladimir 6 Elman, Howard C. 6 Gervasio, Paola 6 Golub, Gene Howard 6 Goyal, Pawan 6 Greenbaum, Anne ...and 3,924 more Authors all top 5 Cited in 269 Serials 273 Journal of Computational Physics 237 Journal of Computational and Applied Mathematics 135 Linear Algebra and its Applications 129 Applied Numerical Mathematics 115 Computer Methods in Applied Mechanics and Engineering 96 Applied Mathematics and Computation 95 Computers & Mathematics with Applications 87 Numerical Linear Algebra with Applications 77 SIAM Journal on Scientific Computing 75 Computers and Fluids 63 BIT 55 Numerical Algorithms 54 Numerische Mathematik 54 Journal of Scientific Computing 40 International Journal for Numerical Methods in Fluids 39 International Journal for Numerical Methods in Engineering 33 Computer Physics Communications 33 Engineering Analysis with Boundary Elements 31 International Journal of Computer Mathematics 27 SIAM Journal on Matrix Analysis and Applications 21 Computing 21 Mathematics and Computers in Simulation 20 Journal of Fluid Mechanics 20 Computational Mechanics 20 Applied Mathematical Modelling 18 Mathematics of Computation 18 Physics of Fluids 17 Computational Geosciences 16 Japan Journal of Industrial and Applied Mathematics 15 Computational and Applied Mathematics 14 Mathematical and Computer Modelling 12 International Journal of Numerical Methods for Heat & Fluid Flow 11 Optimization Methods & Software 10 SIAM Journal on Numerical Analysis 10 Journal of Applied Mathematics and Computing 9 Applications of Mathematics 9 Computational Optimization and Applications 9 Computing and Visualization in Science 9 Engineering Computations 8 Calcolo 8 Communications in Numerical Methods in Engineering 8 Advances in Computational Mathematics 8 Mathematical Problems in Engineering 8 Archives of Computational Methods in Engineering 7 Journal of the Franklin Institute 7 Numerical Methods for Partial Differential Equations 7 Applied Mathematics Letters 7 SIAM Review 7 Journal of Mathematical Sciences (New York) 7 Science China. Mathematics 6 International Journal for Numerical and Analytical Methods in Geomechanics 6 Journal of Optimization Theory and Applications 6 COMPEL 6 SIAM Journal on Optimization 6 Journal of Applied Mathematics 6 International Journal of Computational Methods 6 Journal of Computational Acoustics 5 International Journal of Heat and Mass Transfer 5 International Journal of Solids and Structures 5 Wave Motion 5 Systems & Control Letters 5 Journal of Parallel and Distributed Computing 5 Pattern Recognition 5 Parallel Algorithms and Applications 5 European Journal of Mechanics. B. Fluids 5 Acta Numerica 5 East Asian Journal on Applied Mathematics 4 Journal of Engineering Mathematics 4 Automatica 4 Parallel Computing 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 Journal of Economic Dynamics & Control 4 Mathematical Programming. Series A. Series B 4 Advances in Engineering Software 4 Applied and Computational Harmonic Analysis 4 Russian Journal of Numerical Analysis and Mathematical Modelling 4 International Journal of Computational Fluid Dynamics 4 Multibody System Dynamics 4 International Journal of Numerical Modelling 4 Combustion Theory and Modelling 4 Lobachevskii Journal of Mathematics 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 GAMM-Mitteilungen 4 S\(\vec{\text{e}}\)MA Journal 3 Discrete Applied Mathematics 3 Linear and Multilinear Algebra 3 Bulletin of Mathematical Biology 3 ACM Transactions on Mathematical Software 3 Numerical Functional Analysis and Optimization 3 Theoretical Computer Science 3 SIAM Journal on Algebraic and Discrete Methods 3 Applied Mathematics and Mechanics. (English Edition) 3 Physica D 3 The Journal of Supercomputing 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 ETNA. Electronic Transactions on Numerical Analysis 3 Abstract and Applied Analysis 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik ...and 169 more Serials all top 5 Cited in 46 Fields 1,984 Numerical analysis (65-XX) 597 Fluid mechanics (76-XX) 454 Partial differential equations (35-XX) 225 Linear and multilinear algebra; matrix theory (15-XX) 178 Mechanics of deformable solids (74-XX) 103 Optics, electromagnetic theory (78-XX) 87 Operations research, mathematical programming (90-XX) 78 Computer science (68-XX) 69 Systems theory; control (93-XX) 67 Statistical mechanics, structure of matter (82-XX) 64 Classical thermodynamics, heat transfer (80-XX) 60 Geophysics (86-XX) 60 Biology and other natural sciences (92-XX) 54 Quantum theory (81-XX) 51 Calculus of variations and optimal control; optimization (49-XX) 47 Ordinary differential equations (34-XX) 28 Information and communication theory, circuits (94-XX) 26 Integral equations (45-XX) 25 Operator theory (47-XX) 25 Probability theory and stochastic processes (60-XX) 24 Statistics (62-XX) 23 Mechanics of particles and systems (70-XX) 23 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 19 Approximations and expansions (41-XX) 17 Dynamical systems and ergodic theory (37-XX) 9 Combinatorics (05-XX) 8 Differential geometry (53-XX) 7 Real functions (26-XX) 7 Astronomy and astrophysics (85-XX) 6 History and biography (01-XX) 5 General and overarching topics; collections (00-XX) 5 Functions of a complex variable (30-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Potential theory (31-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Algebraic geometry (14-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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