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Van der Vorst, Henk Albertus

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

Publications by Year

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 0761.65023
Van der Vorst, H. A.
979
1992
An iterative solution method for linear systems of which the coefficient matrix is a symmetric M-matrix. Zbl 0349.65020
Meijerink, J. A.; van der Vorst, Henk A.
305
1977
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, 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 0814.65030
Barrett, 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 0860.65023
Sleijpen, Gerard L. G.; van der Vorst, Henk A.
187
1996
Iterative Krylov methods for large linear systems. Zbl 1023.65027
van der Vorst, Henk A.
163
2003
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
93
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.
87
1996
Approximate solutions and eigenvalue bounds from Krylov subspaces. Zbl 0831.65036
Paige, Chris C.; Parlett, Beresford N.; van der Vorst, Henk A.
84
1995
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
74
2000
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, 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 0924.65027
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; van der Vorst, Henk A.
69
1999
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van 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 1143.65004
Schilders, 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 0472.65028
Meijerink, 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 0621.65022
van der Vorst, H. A.
50
1987
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
47
1998
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
46
1993
BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
34
1994
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.
34
1990
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
30
2000
Computational methods for large eigenvalue problems. Zbl 1028.65028
van der Vorst, Henk A.
28
2002
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.
25
1981
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.
24
2002
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
24
1998
Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018
Sleijpen, G. L. G.; van der Vorst, H. A.
23
1996
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
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
21
1997
Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034
van der Vorst, Henk A.
21
1987
Reducing the effect of global communication in \(\text{GMRES} (m)\) and CG on parallel distributed memory computers. Zbl 0842.65019
de Sturler, E.; van der Vorst, H. A.
18
1995
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
Generalized conjugate gradient squared. Zbl 0856.65021
Fokkema, 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 0702.65042
van 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 0714.65034
Van der Vorst, H. A.
14
1990
The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035
Van der Sluis, A.; Van der Vorst, H. A.
14
1987
Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060
Magolu 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 0983.65046
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.; Modersitzki, Jan
13
2000
Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431
Sleijpen, 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 0983.65039
van der Vorst, Henk A.; Ye, Qiang
12
2000
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
11
1997
A comparison of some GMRES-like methods. Zbl 0749.65027
Vuik, C.; van der Vorst, H. A.
11
1992
Conjugate gradient type methods and preconditioning. Zbl 0659.65033
Van der Vorst, Henk A.; Dekker, Kees
11
1988
The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021
van der Vorst, H. A.
11
1986
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
10
1997
Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034
Huang, Yunqing; Van der Vorst, Henk A.
10
1989
A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035
van der Vorst, Henk A.; Sleijpen, Gerard L. G.
9
1996
Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034
van der Vorst, Henk A.
8
2009
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
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.
7
2000
Data transport in Wang’s partition method. Zbl 0638.65021
Michielse, Peter H.; Van der Vorst, Henk A.
7
1988
Efficient and reliable iterative methods for linear systems. Zbl 1013.65025
van der Vorst, Henk A.
6
2002
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.
6
1999
An overview of approaches for the stable computation of hybrid BiCG methods. Zbl 0856.65022
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
6
1995
A generalized Lanczos scheme. Zbl 0493.65018
van der Vorst, Henk A.
6
1982
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.
5
1995
Preconditioning for eigenproblems. Zbl 0980.65041
Sleijpen, Gerard L. G.; van der Vorst, H. A.
4
1999
Transpose-free formulations of Lanczos-type methods for nonsymmetric linear systems. Zbl 0907.65030
Chan, Tony F.; de Pillis, Lisette; van der Vorst, Henk
4
1998
Linear system solvers: Sparse iterative methods. Zbl 0865.65014
van der Vorst, Henk A.; Chan, Tony F.
4
1997
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
Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051
van der Vorst, Henk A.
2
2004
Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048
van der Vorst, Henk A.
2
2000
A parallel linear system solver for circuit simulation problems. Zbl 1051.65028
Bomhof, C. W.; van der Vorst, H. A.
2
2000
Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039
Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H.
2
1996
Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013
Van der Vorst, Henk A.
2
1996
The effect of incomplete decomposition preconditioning on the convergence of conjugate gradients. Zbl 0803.65061
Van der Vorst, Henk A.; Sleijpen, Gerard G. L.
2
1993
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
Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028
Huang, Yunqing; Van der Vorst, Henk A.
2
1990
Vectorization of linear recurrence relations. Zbl 0664.65120
van der Vorst, H. A.; Dekker, K.
2
1989
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
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
A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171
Magolu monga Made, M.; van der Vorst, H. A.
1
2001
Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015
Van der Vorst, H. A.; Sleijpen, G. L. G.
1
1998
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
Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060
Van der Vorst, Henk A.
1
1994
Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021
Schlichting, J. J. F. M.; van der Vorst, H. A.
1
1989
(M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028
van der Vorst, Henk A.
1
1987
Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034
van 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 1143.65004
Schilders, 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 1055.65051
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
Iterative Krylov methods for large linear systems. Zbl 1023.65027
van der Vorst, Henk A.
163
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.
28
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.
24
2002
Efficient and reliable iterative methods for linear systems. Zbl 1013.65025
van der Vorst, Henk A.
6
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 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
A generalized domain decomposition paradigm for parallel incomplete LU factorization preconditionings. Zbl 1032.68171
Magolu monga Made, M.; van der Vorst, H. A.
1
2001
Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058
Bai, 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 0965.65051
Saad, Yousef; van der Vorst, Henk A.
74
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, 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 0983.65046
Sleijpen, 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 0983.65039
van der Vorst, Henk A.; Ye, Qiang
12
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.
7
2000
Solution of \(f(A)x=b\) with projection methods for the matrix \(A\). Zbl 1187.65048
van der Vorst, Henk A.
2
2000
A parallel linear system solver for circuit simulation problems. Zbl 1051.65028
Bomhof, C. W.; van der Vorst, H. A.
2
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.
69
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.
6
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.
70
1998
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028
Sleijpen, 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 0912.65026
Sleijpen, Gerard L. G.; van der Horst, Henk A.; Meijerbrink, Ellen
24
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
4
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.
21
1997
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
11
1997
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
10
1997
Linear system solvers: Sparse iterative methods. Zbl 0865.65014
van der Vorst, Henk A.; Chan, Tony F.
4
1997
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0860.65023
Sleijpen, Gerard L. G.; van der Vorst, Henk A.
187
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.
87
1996
Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018
Sleijpen, G. L. G.; van der Vorst, H. A.
23
1996
Generalized conjugate gradient squared. Zbl 0856.65021
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
16
1996
A parallelizable and fast algorithm for very large generalized eigenproblems. Zbl 0886.65035
van der Vorst, Henk A.; Sleijpen, Gerard L. G.
9
1996
Jacobi-Davidson methods for generalized MHD-eigenvalue problems. Zbl 0887.65039
Booten, A.; Fokkema, D.; Sleijpen, G.; Van der Vorst, H.
2
1996
Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013
Van der Vorst, Henk A.
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.
84
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.
18
1995
Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
13
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.
6
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.
5
1995
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
68
1994
BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
34
1994
Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060
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
248
1993
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
46
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.
2
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.
979
1992
A comparison of some GMRES-like methods. Zbl 0749.65027
Vuik, C.; van der Vorst, H. A.
11
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
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.
34
1990
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.
16
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
Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034
Huang, Yunqing; Van der Vorst, Henk A.
10
1989
ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036
van der Vorst, Henk A.
8
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
11
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.
50
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.
14
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.
93
1986
The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021
van der Vorst, H. A.
11
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.
53
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.
25
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.
305
1977
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

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