Henk van der Vorst

from Wikipedia, the free encyclopedia

Hendrik Albertus "Henk" van der Vorst (born May 5, 1944 ) is a Dutch mathematician who deals with numerical mathematics.

Van der Vorst received his doctorate in 1982 from the University of Utrecht under Abraham van der Sluis (Preconditioning by incomplete decompositions). From 1984 he was professor at the TU Delft and from 1990 at the University of Utrecht. In 2005 he retired.

He is known for work in numerical linear algebra such as the introduction of the Biconjugate Stabilized Gradient Method (BiCGSTAB) into numerical linear algebra, a variant of the BiCG method . The related work was one of the most cited works in mathematics according to ISI in the 1990s . His 1977 work with JA Meijerink on ILU decomposition as a preconditioner for the iterative solution of large linear systems of equations was also very influential .

He is a member of the Dutch Academy of Sciences and the Dutch Academy for Technology and Innovation, Fellow of SIAM and Knight of the Order of the Dutch Lion.

Fonts

  • With JA Meijerink: An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is ​​a Symmetric M-Matrix, Math. Comp., Volume 31, 1977, pp. 148-162
  • Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE problems, J. Comput. Phys., Vol. 44, 1981, pp. 1-19
  • with C. Vuik: GMRESR: A family of nested GMRES methods, Numer. Lin. Alg. Appl., Vol. 1, 1994, pp. 369-386
  • with GLG Sleijpen: A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Appl., Vol. 17, 1996, pp. 401-425
  • with A. van der Sluis: The rate of convergence of conjugate gradients, Numerische Mathematik, Volume 48, 1986, pp. 543-560.
  • High performance preconditioning, SIAM J. Sci. Extra Comput. 10, 1989, pp. 1174-1185
  • Iterative Krylov Methods for Large Linear systems, Cambridge University Press, Cambridge, 2003

Web links

Individual evidence

  1. ↑ Henk van der Vorst in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Van der Voorst 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, 1992, pp. 631-644
personal data
SURNAME Vorst, Henk van der
ALTERNATIVE NAMES Vorst, Hendrik Albertus van der
BRIEF DESCRIPTION Dutch mathematician
DATE OF BIRTH May 5, 1944