Henk van der Vorst

Hendrik Albertus (Henk) van der Vorst (born on May 5, 1944) is a Dutch mathematician, Emeritus Professor of Numerical Analysis at Utrecht University. According to the Institute for Scientific Information (ISI), his paperCitation
author = H.A. van der Vorst
year = 1992
title = Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
journal = SIAM J. Sci. Stat. Comput.
volume = 13(2)
pages = 631-644

] on the Bi-CGSTAB method was the most cited paper in the field of mathematics in the 1990s [Citation
year = 2001
title = in-cites, September 2001
url= http://www.in-cites.com/papers/dr-henk-van-der-vorst.html] .He is a member of the Royal Netherlands Academy of Arts and Sciences (KNAW)and the [http://www.acti-nl.org/english/index.html Netherlands Academy of Technology and Innovation] [Citation
title = Members of the Netherlands Academy of Technology and Innovation
url = http://www.acti-nl.org/output/webpage.cfm?webpage_id=471] .

His major contributions include preconditioned iterative methods, in particular the ICCG (IncompleteCholesky Conjugate Gradient) method (developed together with Koos Meijerink), a version of Preconditioned conjugate gradient method [Citation
title = An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix
year = 1977
author = J.A. Meijerink, H.A.van der Vorst
journal = Math. Comp.
volume = 31
pages = 148–162] [Citation
author = H.A. van der Vorst
title = Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems
journal = J. Comput. Phys.
volume = 44
year = 1981
pages = 1-19] ,the Bi-CGSTAB and (together with [http://ta.twi.tudelft.nl/users/vuik/ Kees Vuik] ) GMRESR [Citation
author = H.A. van der Vorst, C. Vuik
title = GMRESR: A family of nested GMRES methods
journal = Numer. Lin. Alg. Appl.
volume = 1
year = 1994
pages = 369-386] Krylov subspace methods and (together with [http://www.math.uu.nl/people/sleijpen/ Gerard Sleijpen] ) the Jacobi-Davidson method [Citation
author = G.L.G. Sleijpen and H.A. van der Vorst
title = A Jacobi-Davidson iteration method for linear eigenvalue problems
journal = SIAM J. Matrix Anal. Appl.
volume = 17
pages = 401-425
year = 1996] for solving ordinary, generalized, and nonlinear eigenproblems.He has analyzed convergence behavior of the
Conjugate Gradient [Citation
author = A. van der Sluis, H.A. van der Vorst
title = The rate of convergence of conjugate gradients
journal = Numer. Math.
volume = 48
year = 1986
pages = 543-560] and
Lanczos methods. He has also developed a number of preconditioners for parallel computers [Citation
author = H.A. van der Vorst
title = High performance preconditioning
journal = SIAM J. Sci. Statist. Comput.
volume = 10
year = 1989
pages = 1174-1185] , including truncated Neumann series preconditioner, incomplete twisted factorizations, and the incomplete factorization based on the so-called "vdv" ordering.

He is the author of the book [Citation
author = H.A. van der Vorst
title = Iterative Krylov Methods for Large Linear systems
publisher = Cambridge University Press, Cambridge
month = April
year = 2003
ISBN = 0521818281] and one of the authors of the Templates projects for linear problems [Citation
year = Accessed January 2008
title = Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods
url= http://www.netlib.org/linalg/html_templates/Templates.html ] and eigenproblems [Citation
year = Accessed January 2008
title = Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide
url= http://www.cs.ucdavis.edu/~bai/ET/contents.html] .

References

External links

* [http://www.math.uu.nl/people/vorst/ Home page of Henk van der Vorst at Utrecht University] (Accessed January 2008)
* [http://home.planet.nl/~vorst265/ Private homepage of Henk van der Vorst] (Accessed January 2008)