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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, Henk A.; van der Vorst, H. A.; Van der Vorst, Henk A.; van der Vorst, Henk; Van der Vorst, H. A.; Van der Vorst, Henk; van der Horst, Henk A.; Van der Vorst, H.
Homepage: https://www.staff.science.uu.nl/~vorst102/
External Links: MGP · Wikidata · dblp · GND · IdRef
Documents Indexed: 110 Publications since 1977, including 13 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 3,430 times in 2,475 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.
991
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.
308
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.)
214
2000
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.
164
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
122
1993
The rate of convergence of conjugate gradients. Zbl 0596.65015
van der Sluis, A.; van der Vorst, Henk A.
94
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.
75
2000
GMRESR: A family of nested GMRES methods. Zbl 0839.65040
Van der Vorst, H. A.; Vuik, C.
69
1994
Numerical linear algebra for high-performance computers. Zbl 0914.65014
Dongarra, Jack J.; Duff, Iain S.; Sorensen, Danny C.; Van der Vorst, Henk A.
67
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.
67
1999
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
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.)
49
2008
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.
49
1987
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
48
1998
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
45
1993
BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
35
1994
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
31
2000
High performance preconditioning. Zbl 0693.65027
van der Vorst, Henk A.
27
1989
Computational methods for large eigenvalue problems. Zbl 1028.65028
van der Vorst, Henk A.
26
2002
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.
25
2002
Reliable updated residuals in hybrid Bi-CG methods. Zbl 0842.65018
Sleijpen, G. L. G.; van der Vorst, H. A.
24
1996
A vectorizable variant of some ICCG methods. Zbl 0484.65018
van der Vorst, Henk A.
22
1982
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
22
1998
Large tridiagonal and block tridiagonal linear systems on vector and parallel computers. Zbl 0632.65034
van der Vorst, Henk A.
21
1987
Parallel numerical linear algebra. Zbl 0793.65011
Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A.
20
1993
Approximate and incomplete factorizations. Zbl 0865.65015
Chan, Tony F.; van der Vorst, Henk A.
19
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.
18
1995
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
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.
15
1998
Generalized conjugate gradient squared. Zbl 0856.65021
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
15
1996
The convergence behavior of Ritz values in the presence of close eigenvalues. Zbl 0632.65035
Van der Sluis, A.; Van der Vorst, H. A.
13
1987
Parallel incomplete factorizations with pseudo-overlapped subdomains. Zbl 0971.68060
Magolu monga Made, M.; van der Vorst, H. A.
13
2001
Hybrid bi-conjugate gradient methods for CFD problems. Zbl 0875.76431
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
13
1995
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
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.
12
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
12
2000
The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034
Van der Vorst, H. A.
12
1990
The performance of FORTRAN implementations for preconditioned conjugate gradients on vector computers. Zbl 0608.65021
van der Vorst, H. A.
11
1986
Conjugate gradient type methods and preconditioning. Zbl 0659.65033
Van der Vorst, Henk A.; Dekker, Kees
11
1988
A comparison of some GMRES-like methods. Zbl 0749.65027
Vuik, C.; van der Vorst, H. A.
11
1992
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
10
1997
150 years old and still alive: Eigenproblems. Zbl 0881.65026
van der Vorst, Henk A.; Golub, Gene H.
10
1997
Analysis of a parallel solution method for tridiagonal linear systems. Zbl 0641.65020
Van der Vorst, Henk A.
8
1987
ICCG and related methods for 3D problems on vector computers. Zbl 0798.65036
van der Vorst, Henk A.
8
1989
Alternatives to the Rayleigh quotient for the quadratic eigenvalue problem. Zbl 1042.65028
Hochstenbach, Michiel E.; van der Vorst, Henk A.
8
2003
Iterative Krylov methods for large linear systems. Reprint of the 2003 hardback ed. Zbl 1178.65034
van der Vorst, Henk A.
8
2009
Some observations on the convergence behavior of GMRES. I. Zbl 0755.65034
Huang, Yunqing; Van der Vorst, Henk A.
7
1989
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.
6
1988
A generalized Lanczos scheme. Zbl 0493.65018
van der Vorst, Henk A.
6
1982
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
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
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
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
Preconditioning for eigenproblems. Zbl 0980.65041
Sleijpen, Gerard L. G.; van der Vorst, H. A.
3
1999
A parallel nearly implicit time-stepping scheme. Zbl 0991.65067
Botchev, Mike A.; van der Vorst, Henk A.
3
2001
Spectral analysis of parallel incomplete factorizations with implicit pseudo-overlap. Zbl 1071.65557
Magolu monga Made, M.; van der Vorst, Henk A.
3
2002
Vectorization of linear recurrence relations. Zbl 0664.65120
van der Vorst, H. A.; Dekker, K.
2
1989
Some observations on the convergence behaviour of GMRES. II. Zbl 0766.65028
Huang, Yunqing; Van der Vorst, Henk A.
2
1990
Stabilized incomplete LU-decompositions as preconditionings for the Tchebycheff iteration. Zbl 0767.65024
Van der Vorst, Henk A.
2
1991
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
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
Modern methods for the iterative solution of large systems of linear equations. Zbl 0864.65013
Van der Vorst, Henk A.
2
1996
Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051
van der Vorst, Henk A.
2
2004
A parallel linear system solver for circuit simulation problems. Zbl 1051.65028
Bomhof, C. W.; van der Vorst, H. A.
2
2000
(M)ICCG for 2D problems on vectorcomputers. Zbl 0664.65028
van der Vorst, Henk A.
1
1987
Solving 3D block bidiagonal linear systems on vector computers. Zbl 0679.65021
Schlichting, J. J. F. M.; van der Vorst, H. A.
1
1989
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
Iterative Bi-CG type methods and implementation aspects. Zbl 0898.65015
Van der Vorst, H. A.; Sleijpen, G. L. G.
1
1998
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
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
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
Minimum residual modifications to Bi-CG and to the preconditioner. Zbl 0803.65060
Van der Vorst, Henk A.
1
1994
The convergence of Krylov methods and Ritz values. Zbl 1060.65582
Brandts, Jan; van der Vorst, Henk
1
2004
The application of preconditioned Jacobi-Davidson methods in pole-zero analysis. Zbl 1173.65317
Rommes, J.; Bomhof, C. W.; van der Vorst, H. A.; ter Maten, E. J. W.
1
2004
Iterative Krylov methods for large linear systems. 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.; van der Vorst, Henk A.; Rommes, Joost
49
2008
Modern methods for the iterative computation of eigenpairs of matrices of high dimension. Zbl 1055.65051
van der Vorst, Henk A.
2
2004
Jacobi-Davidson methods and preconditioning with applications in pole-zero analysis. Zbl 1087.65546
Rommes, J.; van der Vorst, H. A.; ter Maten, E. J. W.
1
2004
The convergence of Krylov methods and Ritz values. Zbl 1060.65582
Brandts, Jan; van der Vorst, Henk
1
2004
The application of preconditioned Jacobi-Davidson methods in pole-zero analysis. Zbl 1173.65317
Rommes, J.; Bomhof, C. W.; van der Vorst, H. A.; ter Maten, E. J. W.
1
2004
Iterative Krylov methods for large linear systems. Zbl 1023.65027
van der Vorst, Henk A.
164
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.
26
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.
25
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; Demmel, James; Dongarra, Jack; Ruhe, Axel; Van der Vorst, Henk
214
2000
Iterative solution of linear systems in the 20th century. Zbl 0965.65051
Saad, Yousef; van der Vorst, Henk A.
75
2000
Eigenvalue computation in the 20th century. Zbl 0965.65057
Golub, Gene H.; van der Vorst, Henk A.
31
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
A parallel linear system solver for circuit simulation problems. Zbl 1051.65028
Bomhof, C. W.; van der Vorst, H. A.
2
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.
67
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.
3
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.
67
1998
A Jacobi-Davidson iteration method for linear eigenvalue problems. Zbl 0949.65028
Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
48
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
22
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.
15
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.
19
1997
Closer to the solution: Iterative linear solvers. Zbl 0881.65025
Golub, Gene H.; van der Vorst, Henk A.
10
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.
24
1996
Generalized conjugate gradient squared. Zbl 0856.65021
Fokkema, Diederik R.; Sleijpen, Gerard L. G.; Van der Vorst, Henk A.
15
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
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
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
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.
69
1994
BiCGstab(\(l\)) and other hybrid Bi-CG methods. Zbl 0810.65027
Sleijpen, G. L. G.; van der Vorst, H. A.; Fokkema, D. R.
35
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
122
1993
The superlinear convergence behaviour of GMRES. Zbl 0797.65026
Van der Vorst, H. A.; Vuik, C.
45
1993
Parallel numerical linear algebra. Zbl 0793.65011
Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A.
20
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.
991
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
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
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.
12
1990
The convergence behaviour of preconditioned CG and CG-S in the presence of rounding errors. Zbl 0714.65034
Van der Vorst, H. A.
12
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.
27
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
11
1988
Data transport in Wang’s partition method. Zbl 0638.65021
Michielse, Peter H.; Van der Vorst, Henk A.
6
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.
49
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.
13
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.
94
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.
308
1977
all top 5

Cited by 3,580 Authors

30 Vuik, Cornelis
27 Jia, Zhongxiao
23 Huang, Ting-Zhu
22 Lin, Wen-Wei
20 Benner, Peter
20 Van der Vorst, Henk Albertus
20 Zhang, Jun
17 Axelsson, Axel Owe Holger
17 Van Gijzen, Martin Bastiaan
16 Gravvanis, George A.
16 Pini, Giorgio
16 Saad, Yousef
16 Simoncini, Valeria
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 Zhang, Shao-Liang
13 Caltagirone, Jean-Paul
13 Nakatsukasa, Yuji
13 Turner, Ian William
12 Bai, Zhongzhi
12 Gu, Tongxiang
12 Hochstenbach, Michiel E.
12 Sogabe, Tomohiro
12 Wang, Weichung
12 Wittum, Gabriel
11 Huang, Tsungming
11 Jarlebring, Elias
11 Liu, Xingping
11 Wathen, Andrew John
11 Wu, Gang
10 Miao, Cun-Qiang
10 Reichel, Lothar
10 Smooke, Mitchell D.
10 Szyld, Daniel B.
10 Toutounian, Faezeh
9 Benzi, Michele
9 Chamakuri, Nagaiah
9 Dai, Hua
9 Forsyth, Peter A.
9 Frommer, Andreas
9 Gu, Xian-Ming
9 Kalita, Jiten C.
9 Khojasteh Salkuyeh, Davod
9 Morgan, Ronald B.
9 Niu, Qiang
9 Oosterlee, Cornelis Willebrordus
9 Román, Jose E.
9 Tůma, Miroslav
9 Vanroose, Wim
9 Ye, Qiang
9 Yun, Jae Heon
9 Zuo, Xianyu
8 Brezinski, Claude
8 Carpentieri, Bruno
8 de Sturler, Eric
8 Evans, David John
8 Grigori, Laura
8 Jing, Yanfei
8 Li, Liang
8 O’Leary, Dianne P.
8 Pestana, Jennifer
8 Sandu, Adrian
8 Wille, Sven Øivind
8 Zhang, Jianhua
8 Zhang, Litao
7 Abe, Kuniyoshi
7 Baglama, James
7 Bennett, Beth Anne V.
7 Bucchignani, Edoardo
7 Calvetti, Daniela
7 Chien, Cheng-Sheng
7 Imakura, Akira
7 Lipitakis, Elias A.
7 Liu, Fawang
7 Martínez, Ángeles
7 Mehrmann, Volker
7 Neymeyr, Klaus
7 Pan, Victor Yakovlevich
7 Serra-Capizzano, Stefano
7 Vasseur, Xavier
7 Voss, Heinrich
6 Cools, Siegfried
6 Du, Kui
6 Elman, Howard C.
6 Gervasio, Paola
6 Golub, Gene Howard
6 Goyal, Pawan
6 Greenbaum, Anne
6 Güttel, Stefan
6 Janna, Carlo
6 Jbilou, Khalide
6 Kressner, Daniel
6 Kunisch, Karl
6 Li, Rencang
6 Lu, Linzhang
...and 3,480 more Authors
all top 5

Cited in 271 Serials

243 Journal of Computational Physics
222 Journal of Computational and Applied Mathematics
118 Linear Algebra and its Applications
117 Applied Numerical Mathematics
99 Computer Methods in Applied Mechanics and Engineering
87 Applied Mathematics and Computation
87 Numerical Linear Algebra with Applications
83 Computers & Mathematics with Applications
79 SIAM Journal on Scientific Computing
69 Computers and Fluids
64 BIT
56 Journal of Scientific Computing
56 Numerical Algorithms
54 Numerische Mathematik
40 International Journal for Numerical Methods in Fluids
39 International Journal for Numerical Methods in Engineering
31 International Journal of Computer Mathematics
29 SIAM Journal on Matrix Analysis and Applications
28 Computer Physics Communications
22 Journal of Fluid Mechanics
21 Computing
21 Mathematics and Computers in Simulation
21 Computational Mechanics
21 Engineering Analysis with Boundary Elements
18 Mathematics of Computation
18 Applied Mathematical Modelling
18 Physics of Fluids
17 Japan Journal of Industrial and Applied Mathematics
17 Computational Geosciences
16 Computational and Applied Mathematics
13 Mathematical and Computer Modelling
12 International Journal of Numerical Methods for Heat & Fluid Flow
11 SIAM Journal on Numerical Analysis
11 Optimization Methods & Software
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 Numerical Methods for Partial Differential Equations
7 SIAM Review
7 Journal of Mathematical Sciences (New York)
7 Science China. Mathematics
7 East Asian Journal on Applied Mathematics
6 International Journal for Numerical and Analytical Methods in Geomechanics
6 Journal of the Franklin Institute
6 Journal of Optimization Theory and Applications
6 COMPEL
6 Applied Mathematics Letters
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 Journal of Parallel and Distributed Computing
5 ETNA. Electronic Transactions on Numerical Analysis
5 Parallel Algorithms and Applications
5 European Journal of Mechanics. B. Fluids
5 Multiscale Modeling & Simulation
5 Acta Numerica
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Journal of Engineering Mathematics
4 Parallel Computing
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Journal of Economic Dynamics & Control
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 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 GAMM-Mitteilungen
4 S\(\vec{\text{e}}\)MA Journal
3 Inverse Problems
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 Computational Mathematics and Mathematical Physics
3 Applied and Computational Harmonic Analysis
3 Abstract and Applied Analysis
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
3 International Journal of Applied Mathematics and Computer Science
3 Optimization and Engineering
...and 171 more Serials
all top 5

Cited in 46 Fields

1,910 Numerical analysis (65-XX)
573 Fluid mechanics (76-XX)
429 Partial differential equations (35-XX)
221 Linear and multilinear algebra; matrix theory (15-XX)
165 Mechanics of deformable solids (74-XX)
94 Optics, electromagnetic theory (78-XX)
81 Operations research, mathematical programming (90-XX)
72 Computer science (68-XX)
62 Classical thermodynamics, heat transfer (80-XX)
60 Statistical mechanics, structure of matter (82-XX)
59 Geophysics (86-XX)
57 Biology and other natural sciences (92-XX)
56 Systems theory; control (93-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
49 Quantum theory (81-XX)
45 Ordinary differential equations (34-XX)
28 Information and communication theory, circuits (94-XX)
26 Integral equations (45-XX)
26 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)
18 Approximations and expansions (41-XX)
17 Dynamical systems and ergodic theory (37-XX)
9 Combinatorics (05-XX)
8 Differential geometry (53-XX)
8 Astronomy and astrophysics (85-XX)
7 History and biography (01-XX)
7 Real functions (26-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 Functional analysis (46-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)

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