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Van der Vorst, Henk Albertus

Author ID: van-der-vorst.henk-a Recent zbMATH articles by "Van der Vorst, Henk Albertus"
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.
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
2,512 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 3,987 times in 2,882 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.
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.
326
1977
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
309
2000
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023
Sleijpen, Gerard L. G.; van der Vorst, Henk A.
207
1996
Iterative Krylov methods for large linear systems. Zbl 1023.65027
van der Vorst, Henk A.
201
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
147
1993
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
102
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.
97
1996
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
91
1995
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
85
2000
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
83
2008
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
82
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.
58
1998
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
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.
54
1981
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
54
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
Computational methods for large eigenvalue problems. Zbl 1028.65028
van der Vorst, Henk A.
31
2002
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.
31
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
Maintaining convergence properties of BiCGStab methods in finite precision arithmetic. Zbl 0837.65030
Sleijpen, 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 0472.65027
van der Vorst, Henk A.
26
1981
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
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
24
1997
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.
23
1995
A vectorizable variant of some ICCG methods. Zbl 0484.65018
van der Vorst, Henk A.
22
1982
Parallel numerical linear algebra. Zbl 0793.65011
Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A.
21
1993
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.
16
1998
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
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
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
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 behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034
Van der Vorst, H. A.
14
1990
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
Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060
Magolu monga Made, M.; van der Vorst, H. A.
13
2001
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
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
11
1997
Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034
van der Vorst, Henk A.
11
2009
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
10
1997
ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036
van der Vorst, Henk A.
8
1989
Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020
Van der Vorst, Henk A.
8
1987
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.
8
2000
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034
Huang, Yunqing; Van der Vorst, Henk A.
7
1989
Data transport in Wang’s partition method. Zbl 0638.65021
Michielse, Peter H.; Van der Vorst, Henk A.
7
1988
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
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
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
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
Preconditioning for eigenproblems. Zbl 0980.65041
Sleijpen, Gerard L. G.; van der Vorst, H. A.
4
1999
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 nearly implicit time-stepping scheme. Zbl 0991.65067
Botchev, Mike A.; van der Vorst, Henk A.
3
2001
A parallel linear system solver for circuit simulation problems. Zbl 1051.65028
Bomhof, C. W.; van der Vorst, H. A.
3
2000
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
Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024
Van der Vorst, Henk A.
2
1991
Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013
Van der Vorst, Henk A.
2
1996
Conjugate gradient type methods for nonsymmetric linear systems. Zbl 0785.65042
van der Vorst, H. A.
2
1992
Vectorization of linear recurrence relations. Zbl 0664.65120
van der Vorst, H. A.; Dekker, K.
2
1989
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 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
Subspace iteration for eigenproblems. Zbl 0871.65028
van der Vorst, Henk
1
1996
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
Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021
Schlichting, J. J. F. M.; van der Vorst, H. A.
1
1989
The convergence of Krylov methods and Ritz values. Zbl 1060.65582
Brandts, Jan; van der Vorst, Henk
1
2004
Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060
Van der Vorst, Henk A.
1
1994
(M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028
van der Vorst, Henk A.
1
1987
Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015
Van der Vorst, H. A.; Sleijpen, G. L. G.
1
1998
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
Parallel preconditioning for sparse linear equations. Zbl 0925.65047
Van der Vorst, H. A.; Chan, T. F.
1
1996
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 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
Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034
van der Vorst, Henk A.
11
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
83
2008
Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051
van der Vorst, Henk A.
2
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
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
Iterative Krylov methods for large linear systems. Zbl 1023.65027
van der Vorst, Henk A.
201
2003
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
Computational methods for large eigenvalue problems. Zbl 1028.65028
van der Vorst, Henk A.
31
2002
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.
31
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
309
2000
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
85
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.
8
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.
58
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.
16
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.
207
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.
97
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
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 solution of large systems of linear equations. Zbl 0864.65013
Van der Vorst, Henk A.
2
1996
Subspace iteration for eigenproblems. Zbl 0871.65028
van der Vorst, Henk
1
1996
Parallel preconditioning for sparse linear equations. Zbl 0925.65047
Van der Vorst, H. A.; Chan, T. F.
1
1996
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
91
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.
23
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.
82
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
147
1993
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
54
1993
Parallel numerical linear algebra. Zbl 0793.65011
Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A.
21
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
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.
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.
102
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.
54
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.
326
1977
all top 5

Cited by 4,298 Authors

36 Vuik, Cornelis
31 Jia, Zhongxiao
24 Huang, Ting-Zhu
23 Lin, Wen-Wei
22 Benner, Peter
21 Van der Vorst, Henk Albertus
21 Zhang, Jun
20 Simoncini, Valeria
18 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
13 Wu, Gang
12 Bai, Zhongzhi
12 Frommer, Andreas
12 Gu, Tongxiang
12 Hochstenbach, Michiel E.
12 Miao, Cun-Qiang
12 Reichel, Lothar
12 Smooke, Mitchell D.
12 Toutounian, Faezeh
12 Wang, Weichung
12 Wathen, Andrew John
12 Zhang, Lei-Hong
11 Chamakuri, Nagaiah
11 Gu, Xian-Ming
11 Huang, Tsungming
11 Jarlebring, Elias
11 Liu, Xingping
11 Szyld, Daniel B.
10 Carpentieri, Bruno
10 Codina, Ramon
10 de Sturler, Eric
10 Li, Rencang
10 Liu, Fawang
10 Mehrmann, Volker
10 Román, Jose E.
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 Kressner, Daniel
9 Morgan, Ronald B.
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 Zuo, Xianyu
8 Bai, Zhaojun
8 Baiges, Joan
8 Brezinski, Claude
8 Evans, David John
8 Greenbaum, Anne
8 Grigori, Laura
8 Imakura, Akira
8 Jing, Yanfei
8 Li, Liang
8 Manguoglu, Murat
8 Neymeyr, Klaus
8 O’Leary, Dianne P.
8 Quarteroni, Alfio M.
8 Sandu, Adrian
8 Schweitzer, Marcel
8 Voss, Heinrich
8 Wille, Sven Øivind
8 Yang, Chao
8 Zhang, Jianhua
8 Zhang, Litao
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.
7 Gervasio, Paola
...and 4,198 more Authors
all top 5

Cited in 307 Serials

283 Journal of Computational Physics
231 Journal of Computational and Applied Mathematics
128 Applied Numerical Mathematics
127 Linear Algebra and its Applications
121 Computer Methods in Applied Mechanics and Engineering
103 SIAM Journal on Scientific Computing
97 Applied Mathematics and Computation
94 Computers & Mathematics with Applications
87 Numerical Linear Algebra with Applications
77 Computers and Fluids
65 BIT
65 Journal of Scientific Computing
59 Numerical Algorithms
56 Numerische Mathematik
48 SIAM Journal on Matrix Analysis and Applications
41 International Journal for Numerical Methods in Engineering
40 International Journal for Numerical Methods in Fluids
35 Computer Physics Communications
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
21 Computational Geosciences
20 Japan Journal of Industrial and Applied Mathematics
19 Mathematics of Computation
18 Physics of Fluids
17 Computational and Applied Mathematics
15 Computing and Visualization in Science
14 Optimization Methods & Software
13 SIAM Journal on Numerical Analysis
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 International Journal of Computational Methods
10 Applications of Mathematics
10 ETNA. Electronic Transactions on Numerical Analysis
10 Communications in Computational Physics
9 Calcolo
9 Numerical Methods for Partial Differential Equations
9 SIAM Review
9 Computational Optimization and Applications
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 Communications in Numerical Methods in Engineering
8 Mathematical Problems in Engineering
8 Archives of Computational Methods in Engineering
7 Journal of the Franklin Institute
7 SIAM Journal on Optimization
7 Journal of Mathematical Sciences (New York)
7 Russian Journal of Numerical Analysis and Mathematical Modelling
7 Combustion Theory and Modelling
7 Science China. Mathematics
6 International Journal for Numerical and Analytical Methods in Geomechanics
6 Automatica
6 Systems & Control Letters
6 COMPEL
6 Applied Mathematics Letters
6 Computational Mathematics and Mathematical Physics
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
6 GAMM-Mitteilungen
5 International Journal of Heat and Mass Transfer
5 International Journal of Solids and Structures
5 Inverse Problems
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 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 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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
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)
...and 207 more Serials
all top 5

Cited in 47 Fields

2,207 Numerical analysis (65-XX)
664 Fluid mechanics (76-XX)
486 Partial differential equations (35-XX)
282 Linear and multilinear algebra; matrix theory (15-XX)
192 Mechanics of deformable solids (74-XX)
104 Optics, electromagnetic theory (78-XX)
101 Computer science (68-XX)
98 Operations research, mathematical programming (90-XX)
84 Systems theory; control (93-XX)
75 Geophysics (86-XX)
74 Classical thermodynamics, heat transfer (80-XX)
70 Statistical mechanics, structure of matter (82-XX)
67 Biology and other natural sciences (92-XX)
55 Calculus of variations and optimal control; optimization (49-XX)
54 Quantum theory (81-XX)
51 Ordinary differential equations (34-XX)
35 Statistics (62-XX)
35 Information and communication theory, circuits (94-XX)
32 Integral equations (45-XX)
32 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Operator theory (47-XX)
29 Probability theory and stochastic processes (60-XX)
26 Mechanics of particles and systems (70-XX)
25 Dynamical systems and ergodic theory (37-XX)
17 Approximations and expansions (41-XX)
13 Combinatorics (05-XX)
12 Real functions (26-XX)
10 Differential geometry (53-XX)
10 Astronomy and astrophysics (85-XX)
6 History and biography (01-XX)
6 Functions of a complex variable (30-XX)
5 General and overarching topics; collections (00-XX)
5 Integral transforms, operational calculus (44-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Potential theory (31-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Algebraic geometry (14-XX)
3 Functional analysis (46-XX)
3 Convex and discrete geometry (52-XX)
2 Special functions (33-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

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