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Publications since 1992
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Publications 1992
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C. Vuik and H.A. van der Vorst,
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A comparison of some GMRES-like methods,
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Lin. Alg. and its Appl., Vol 160, pp.131-162, 1992.
H.A. van der Vorst,
-
Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG
-
for the solution of nonsymmetric linear systems,
-
SIAM J. Sci. Stat. Comput., Vol 13(2), pp. 631-644, 1992.
-
H.A. van der Vorst,
-
Conjugate gradient type methods for nonsymmetric linear systems,
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in: R. Beauwens and P. de Groen (eds.),
-
" Iterative Methods in Linear Algebra" ,
-
Proc. of the IMACS Int. Symp. Brussels, 2-4 April 1991,
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North-Holland, Amsterdam, 1992, pp. 67-76.
-
Henk A. van der Vorst,
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Lecture notes on iterative methods,
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report TR/PA/92/75, CERFACS, Toulouse, 1992.
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Jack J. Dongarra and Henk A. van der Vorst,
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Performance of Various Computers Using Standard Sparse Linear
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Equations Solving Techniques,
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Supercomputer, Vol 9(5), Sept. 1992, pp. 17-29.
Publications 1993
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J. Demmel, M. Heath and H. van der Vorst,
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Parallel Numerical Linear Algebra,
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Acta Numerica 1993, Cambridge University Press, Cambridge,
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1993, pp. 111-198.
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H.A. van der Vorst, D.R. Fokkema, and G.L.G. Sleijpen,
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in "Simulation of Semiconductor Devices and Processes, Vol 5"
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S. Selberherr, H. Stippel, and E. Strasser, eds., pp. 89-92,
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Springer Verlag, Wien, 1993
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G.L.G. Sleijpen and H.A. van der Vorst,
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Preprint 803, Department of Mathematics, University Utrecht (1993).
-
G.L.G. Sleijpen and H.A. van der Vorst,
-
Optimal iteration methods for large
linear systems of equations,
-
in "Numerical Methods for Advection-Diffusion Problems",
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C.B. Vreugdenhil and B. Koren, eds.,
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Notes on Numerical Fluid Mechanics, Vol. 45, Ch. 12, pp. 291-320,
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Vieweg, Braunschweig, 1993.
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H.A. van der Vorst and G.L.G. Sleijpen,
-
The effect of incomplete decomposition
preconditioning on the
convergence of Conjugate Gradients,
-
in "Incomplete Decompositions (ILU)-Algorithms, Theory, and
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Applications", W. Hackbusch and G. Wittum, eds.,
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Notes on Numerical Fluid Mechanics, Vol. 41, pp. 179-187,
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Vieweg, Braunschweig, 1993.
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Henk A. van der Vorst,
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Minimum Residual Modifications to Bi-CG and Preconditioners,
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in: G. Golub, A. Greenbaum, and M. Luskin (eds),
-
" Recent advances in iterative methods" ,
-
IMA Volumes in Mathematics and its Applications, Volume 60,
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Springer Verlag, Berlin etc, 1993, p217-225.
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Jack J. Dongarra and Henk A. van der Vorst,
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Performance of Various Computers Using Standard Sparse Linear
-
Equations Solving Techniques,
-
in: J.J. Dongarra and W. Gentzsch (eds),
-
" Computer Benchmarks" , Advances in Parallel Computing, Volume 8,
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North--Holland, Amsterdam, 1993, p177-188.
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H.A. Van der Vorst and C. Vuik,
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The superlinear convergence behaviour of GMRES,
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Journal of Comp. and Appl. Math., Vol 48, 1993, pp. 327-341.
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Henk A. Van der Vorst,
-
Parallel aspects of iterative methods,
-
in: A.E. Fincham, and B. Ford (Ed),
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" Proc. IMA Conf. on Parallel Computing" ,
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Oxford University Press, Oxford, UK, 1993, pp. 175-186.
Publications 1994
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Richard Barrett, Michael Berry, Tony Chan, James
Demmel, June Donato,
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Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine,
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and Henk van der Vorst,
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Iterative Methods,
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SIAM, Philadelphia, 1994.
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Henk A. van der Vorst,
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Recent developments in hybrid CG methods,
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in: W. Gentzsch and U. Harms (Eds.),
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" High Performance and Networking" ,
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Proceedings International Conference, Munich, April 1994, Volume 2:
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Networking and Tools, Lecture Notes in Computer Science, 797,
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Springer Verlag, Berlin etc., 1994, pp. 174-183.
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J.G.L. Booten, P.M. Meijer, H.J.J. te Riele and H.A. van der Vorst,
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Parallel Arnoldi method for the construction of a Krylov subspace
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basis: an application in magnetohydrodynamics,
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in: W. Gentzsch and U. Harms (Eds.),
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" High Performance and Networking" ,
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Proceedings International Conference, Munich, April 1994, Volume 2:
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Networking and Tools, Lecture Notes in Computer Science, 797,
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Springer Verlag, Berlin etc., 1994, pp. 196-201.
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E. de Sturler and H.A. van der Vorst,
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Communication Cost Reduction for Krylov Methods on Parallel
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Computers, in: W. Gentzsch and U. Harms (Eds.),
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" High Performance and Networking" ,
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Proceedings International Conference, Munich, April 1994, Volume 2:
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Networking and Tools, Lecture Notes in Computer Science, 797,
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Springer Verlag, Berlin etc., 1994, pp. 190-195.
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S. Poedts, P.M. Meijer, J.P. Goedbloed, H.A. van der Vorst, and A. Jakoby,
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Parallel Magnetohydrodynamics on the CM-5,
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in: W. Gentzsch and U. Harms (Eds.),
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" High Performance and Networking" ,
-
Proceedings International Conference, Munich, April 1994, Volume 1:
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Applications, Lecture Notes in Computer Science, 796,
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Springer Verlag, Berlin etc., 1994, pp. 365-370.
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H.A. van der Vorst and G.L.G. Sleijpen,
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An introduction to hybrid iteration methods,
-
in "Proceeding of the international workshop on solution techniques
-
for large-scale CFD problems",
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W.G. Habashi, ed. (Montreal, september, 1994), pp. 143-159.
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G.L.G. Sleijpen, H.A. van der Vorst, and D.R. Fokkema,
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How to improve the convergence of hybrid Bi-CG methods,
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in "IMACS '94, Proceedings 14the World Congress on Computation
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and Applied Mathematics", W.F. Ames, ed,
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Late Papers Volume, (1994), pp. 75-78.
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Lianne G.C. Crone and Henk A. van der Vorst,
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Communication aspects of the Conjugate Gradient method on
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distributed memory machines,
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Supercomputer, 58, Vol X, number 6, pp. 4--9, 1994.
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J.G.L. Booten, H.A. van der Vorst, P.M. Meijer, and H.J.J. te Riele,
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generalized eigenvalue problems,
-
CWI Report NM-R9414, July 1994.
-
H.A. van der Vorst,
-
A comparison between ART, CG, and SIRT,
-
in "Proceedings of the Cornelius Lanczos International Centenary
-
Conference", J.D. Brown, M.T. Chu, D.C. Ellison, R.J. Plemmons, eds.,
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Proceedings in Applied Mathematics 73, IBSN 0-89871-339-0,
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SIAM, Philadelphia, 1994, pp. 302--304.
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G.L.G. Sleijpen, D.R. Fokkema, and H.A. van der Vorst,
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BiCGstab(ell): an Efficient and Surprisingly Stable Solver of
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Nonsymmetric Linear Equations, in "Proceedings of the Cornelius
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Lanczos International Centenary Conference",
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J.D. Brown, M.T. Chu, D.C. Ellison, R.J. Plemmons, eds.,
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Proceedings in Applied Mathematics 73, IBSN 0-89871-339-0,
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SIAM, Philadelphia, 1994, pp. 291-293.
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G.L.G. Sleijpen, H.A. van der Vorst, and D.R. Fokkema,
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BiCGstab(ell) and other Hybrid Bi-CG Methods,
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Numerical Algor., 7 (1994), pp. 75-109.
-
H.A. Van der Vorst and C. Vuik,
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GMRESR: a Family of Nested GMRES Methods,
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Numerical Linear Algebra with Applications, Vol.1(4), pp. 369-386, 1994.
Publications 1995
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G.L.G. Sleijpen and H.A. van der Vorst,
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An overview of approaches
for the stable computation of hybrid
Bi-CG methods,
-
J. Applied Num. Mathematics, 19:235-254, 1995
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G.L.G. Sleijpen and H.A. van der Vorst,
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Hybrid Bi-Conjugate Gradient Methods for CFD Problems,
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in: M. Hafez and K. Oshima (eds),
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Computational Fluid Dynamics Review 1995,
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Wiley, Chicester, ISBN 0 471 95589 2, 1995, pp.457-476.
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G.L.G. Sleijpen and H.A. van der Vorst,
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accelerated inexact Newton
scheme,
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Preprint, Department of Mathematics, University Utrecht (Februari, 1995),
-
to appear in IMACS Conference proceedings
-
C.C. Paige, B.N. Parlett and H.A. Van der Vorst,
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Approximate solutions and eigenvalue bounds from Krylov
-
subspaces, Numerical Linear Algebra with Applications, Vol 2(2),
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pp. 115-134, 1995.
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Z. Bai, D. Day, J. Demmel, J. Dongarra, M. Gu, A.
Ruhe,
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and H. van der Vorst,
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in: Jan van Leeuwen (Ed.), Computer Science Today: Recent Trends
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and Developments, Lecture Notes in Computer Science 1000,
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Springer-Verlag, Berlin etc., ISBN 3-540-60105-8, p115-140, 1995.
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M.N. Kooper, H.A. van der Vorst, S. Poedts, and J.P. Goedbloed,
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Application of the Implicitly Updated Arnoldi Method with a
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Complex Shift and Invert Strategy in MHD,
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J. of Comp. Phys., 118, pp. 320-328, 1995.
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A. Booten, D. Fokkema, G. Sleijpen and H. van der Vorst,
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H. A. van der Vorst and T.F. Chan,
-
H.A. van der Vorst,
-
H.A. van der Vorst,
-
in: Special Course on Parallel Computing in CFD,
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AGARD-R-807, AGARD, Neuilly-sur-Seine,
-
France Workshop Lecture Notes
-
H.A. van der Vorst and G.L.G. Sleijpen,
-
Hybrid Iteration Solvers and their Application in CFD,
-
in: W.G. Habashi (ed.),
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Solution Techniques for Large-Scale CFD Problems,
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Wiley, Chicester, ISBN 0 471 95810 7, 1995, pp.159-175.
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G.L.G. Sleijpen and H.A. van der Vorst,
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Maintaining convergence properties of BiCGstab methods in
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finite precision arithmetic,
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Numerical Algorithms, 10, pp.203-223, 1995.
-
Eric de Sturler and Henk A. van der Vorst,
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Reducing the effect of global communication in GMRES(m) and
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CG on Parallel Distributed Memory Computers,
-
J. Applied Num. Math., 18:441-459, 1995.
Publications 1996
-
Henk A. van der Vorst,
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Modern methods for the iterative solution of large systems
-
of linear equations, Nieuw Archief voor Wiskunde,
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Vierde Serie Deel 14, 1:127-143, 1996.
-
Albert Booten and Henk van der Vorst,
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Cracking Large-Scale Eigenvalue Computations,
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Part I: Algorithms, Computers in Physics, 10:239-242, 1996.
-
Albert Booten and Henk van der Vorst,
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Cracking Large-Scale Eigenvalue Computations,
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Part II: Implementations, Computers in Physics, 10:331-334, 1996.
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G.L.G. Sleijpen and H.A. van der Vorst,
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A Jacobi-Davidson iteration method for linear eigenvalue problems,
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SIAM J. Matrix Anal. Appl., 17:401-425, 1996.
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H.J.J van Dam, J.H. van Lenthe, G.L.G. Sleijpen and H.A. van der Vorst,
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An improvement of Davidson's iteration method:
- Applications to MRCI and MRCEPA calculations
- J. Comput. Chemistry, 17:267-272, 1996.
-
G.L.G. Sleijpen and H.A. van der Vorst,
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Reliable updated residuals in hybrid Bi-CG methods,
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Computing, 56:141-163, 1996.
-
Henk van der Vorst,
-
CWI Quarterly, 9 (1 and 2):151-160, 1996.
-
Henk van der Vorst,
-
gezien `vanuit de Wiskunde' ,
in: Wiskunde in Nederland - Drie essays,
-
uitgave: Overlegcommissie Verkenningen, Amsterdam, februari 1996
-
(in Dutch).
-
H.A. van der Vorst,
-
Parallel Linear Solvers: Sparse Iterative Methods,
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in: P. Wesseling (ed.), High Performance Computing in Fluid Dynamics,
-
173-200, Kluwer, Dordrecht, 1996.
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D.R. Fokkema, G.L.G. Sleijpen and H.A. van der Vorst,
-
Generalized conjugate gradient squared,
-
J. Comp. and Appl. Math., 71:125-146, 1996.
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G.L.G. Sleijpen, J.G.L. Booten, D.R. Fokkema and H.A. van der Vorst,
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Jacobi-Davidson Type Methods for Generalized Eigenproblems
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and Polynomial Eigenproblems, BIT, 36:595-633, 1996.
-
Gerard Sleijpen, Henk van der Vorst and Martin van Gijzen,
-
SIAM News, Vol. 29:7, September 1996, page 8-9.
-
Henk A. van der Vorst and Gerard L.G. Sleijpen,
-
A parallelizable and fast algorithm for very large generalized
-
eigenproblems, in: J. Wasniewski, J. Dongarra, K. Madsen and
-
D. Olesen (Eds), Applied Parallel Computing, Proceedings of PARA '96,
-
Lecture Notes in Computer Science 1184, Springer Verlag, Berlin,
-
1996, pp.686-696.
Publications 1997
-
M.A. Botchev, G.L.G. Sleijpen,
and H.A. van der Vorst,
-
stability of time-step integration
schemes,
-
Preprint 1004, Department of Mathematics, Utrecht University,
-
March, 1997.
-
Henk A. van der Vorst and Tony C. Chan,
- in David E. Keyes,
Ahmed Samed and V. Venkatakrishnan (eds),
- Parallel Numerical Algorithms,
-
ICASE/LaRC Interdisciplinary Series in Science and
-
Engineering, Volume 4, Kluwer Academic, Dordecht, 1997, pp91-118.
-
Tony C. Chan and Henk A. van der Vorst,
- in David E. Keyes, Ahmed Samed and V. Venkatakrishnan (eds),
- Parallel Numerical Algorithms,
- ICASE/LaRC Interdisciplinary Series in Science and
-
Engineering, Volume 4, Kluwer Academic, Dordecht, 1997, pp167-202.
-
G.H. Golub and H.A. van der Vorst
- in I.S. Duff and G.A.Watson (eds),
- The State of the Art in Numerical Analysis, Clarendon Press,
- Oxford, 1997, pp63-92.
-
Henk A. van der Vorst and Gene H. Golub
- in I.S. Duff and G.A. Watson (eds),
- The State of the Art in Numerical Analysis, Clarendon Press,
- Oxford, 1997, pp93-119.
-
Henk A. van der Vorst
-
Iterative Methods for Linear Systems and Implementation on
-
Parallel Systems,
- in Raymond H. Chan, Tony F. Chan and Gene H. Golub (eds),
- Iterative Methods in Scientific Computing, Springer Verlag,
- Singapore, 1997, pp1-44
Publications 1998
-
G.L.G. Sleijpen,
H.A. van der Vorst, and E. Meijerink
-
for standard and generalized
eigenproblems,
-
ETNA, 7:75-89, 1998
-
D.R. Fokkema,
G.L.G. Sleijpen,
and H.A. van der Vorst,
-
Accelerated Inexact Newton Schemes
for Large Systems of
-
Nonlinear Equations,
- SIAM J. Scient. Comput., 19:657-674, 1998
-
M.A. Botchev
and H.A. van der Vorst
- Preprint 1054, Department of Mathematics, Utrecht University,
-
March, 1998.
-
Tony F. Chan,
Lisette DePillis and Henk van der Vorst
- Numerical Algorithms, 17, pp.51-66, 1998
-
D.R. Fokkema,
G.L.G. Sleijpen, and H.A. van der Vorst,
- Jacobi-Davidson style QR and QZ
algorithms for the partial
- reduction of matrix Pencils,
- SIAM J. Scient. Comput., 20:94-125, 1998
-
J. Dongarra,
I. Duff,
D. Sorensen
and H. van der Vorst
- SIAM, Philadelphia, PA, 1998.
Publications 1999
-
I.S. Duff and
H.A. van der Vorst
-
Solution of Linear
Systems ,
-
Preprint 1091, Department of Mathematics, Utrecht University,
-
February, 1999.
- in: Parallel Computing, Vol 25 (13-14), p.1931-1970, 1999
-
M.A. Botchev,
G.L.G. Sleijpen
and H.A. van der Vorst
- Appl. Num. Math., vol 31, pp.239-254, 1999
-
G.L.G. Sleijpen,
H.A. van der Vorst and Z. Bai
- Preprint 1114, Dept of Math., Utrecht University, August 1999
- To appear in: Z. Bai, J. Demmel, J. Dongarra, A. Ruhe, and
- H. van der Vorst (editors): Templates for the Solution of
- Algebraic Eigenvalue Problems: A Practical Guide.
- SIAM, Philadelphia, PA, USA, 2000
Publications 2000
-
Henk A. van der Vorst
Krylov Subspace Iteration,
- Computing in Science and Engineering,
- Vol. 2(1) January/February 2000, p.32-37
-
Yousef Saad and
Henk A. van der Vorst
- J. Comp. Appl. Math., 123, pp. 1-33, 2000.
-
Gene H. Golub
and Henk A. van der Vorst
- J. Comp. Appl. Math., 123, pp. 35-65, 2000
-
Henk A. van der Vorst and
Qiang Ye
- SIAM J. Sci. Comput., Vol. 22 (3), pp. 835-852, 2000.
-
Menno Genseberger,
Gerard Sleijpen
and Henk van der Vorst
- Preprint 1164, Dept of Math., Utrecht University, October 2000
-
Wim Bomhof
and Henk A. van der Vorst
- Numer. Linear Algebra Appl., 7, pp. 649-665, 2000.
-
Z. Bai,
J. Demmel,
J. Dongarra,
A. Ruhe,
and H. van der Vorst
- Templates for the Solution of Algebraic Eigenvalue Problems:
- A Practical Guide.
- SIAM, Philadelphia, PA, USA, 2000
- A picture of the editors and some authors
-
M. Magolu monga Made and
H. A. van der Vorst
- in: M. Bubak, H. Afsarmanesh, R. Williams, and B. Hertzberger (Eds.),
- High Performance Computing and Networking,
- 8th International Conference, HPCN Europe 2000, Amsterdam,
- The Netherlands, May 2000, Proceedings,
- Lecture Notes in Computer Science, 1823,
- Springer Verlag, Berlin etc., 2000, pp. 89--98
-
G.L.G. Sleijpen,
H.A. van der Vorst, and
J. Modersitzki,
-
in Krylov solvers for
symmetric indefinite linear systems,
- SIAM J. Matrix Anal. Appl., 22 (3), p. 726-751, 2000
-
Henk A. van der Vorst
- A. Frommer, T. Lippert, B. Medeke, and K. Schilling (editors),
- Numerical Challenges in Lattice Quantum
Chromodynamics,
- Lecture Notes in Computational Science and
Engineering. 15,
- Springer Verlag, Berlin etc., 2000, pp. 18-28
-
J.L.M. van Dorsselaer,
M.E. Hochstenbach, H.A. van der Vorst
- SIAM J. on Matrix Anal. Appl., 22 (3), p. 837-852, 2000.
Publications 2001
-
M. Magolu monga Made
and H.A. van der Vorst
- Parallel Computing, Vol. 27 (8), pp.989-1008, 2001.
-
M.A. Botchev
and H.A. van der Vorst
- J. Comp. and Appl. Math., vol 137, pp.229-243, 2001
-
M. Magolu monga Made and
H. A. van der Vorst
- Future generation Computer Systems, Vol. 17 (8), pp.925-932, 2001
Publications 2002
-
H.A. van der Vorst
-
Computational Methods for large Eigenvalue Problems
- in P.G. Ciarlet and J.L. Lions (eds),
- Handbook of Numerical Analysis, Volume VIII,
- North-Holland (Elsevier), Amsterdam 2002
- pp.3-179.
-
M. Magolu monga Made and
H. A. van der Vorst
- Numerical Linear Algebra with Appl., Vol. 9 (1), pp. 45-64, 2002
Publications 2003
-
Henk van der Vorst
- Cambridge University Press, Cambridge, April 2003,
ISBN: 0521818281
List of corrections
-
M. Hochstenbach and
H. A. van der Vorst
- SIAM J. Sci. Comput., 25(2), p. 591-603, 2003
Publications 2004
-
-
-
J.H. Brandts and H.A. van der Vorst
- in: Conjugate Gradient Algorithms and Finite Element Methods, pp 47-68
- M. Krizek, P. Neitaanmaki, R. Glowinsky, and S. Korotov (Eds)
- Springer Verlag, 2004
-
Henk van der Vorst
- The Australian Mathematical Society Gazette, 31 (2), pp. 94-100, 2004
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