Henk van der Vorst
Hendrik Albertus " Henk " van der Vorst ( born May 5, 1944) is a Dutch mathematician who deals with numerical analysis.
Van der Vorst in 1982 received his doctorate at the University of Utrecht in Abraham van der Sluis ( Preconditioning by incomplete decompositions ). He was from 1984 professor at the TU Delft and from 1990 at the University of Utrecht. He retired in 2005.
He is known for work in numerical linear algebra such as the introduction of Biconjugate Stabilized Gradient Method ( BiCGStab ) in the numerical linear algebra, a variant of the BiCG method, the work in this area was in the 1990s, the most-cited papers in mathematics according to ISI. Very influential was his work with JA Meijerink of 1977 on ILU factorization as preconditioner for the iterative solution of large linear systems of equations.
He is a member of the Netherlands Academy of Sciences and the Netherlands Academy of Technology and Innovation, Fellow of SIAM and Knight of the Order of the Netherlands Lion.
Writings
- By J. A. Meijerink. An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M- matrix, Math Comp, Volume 31, 1977, p 148-162
- Iterative solution methods for certain sparse linear systems with a non- symmetric matrix Arising from PDE - problems, J. Comput. Phys., Volume 44, 1981, p 1-19
- With C. Vuik: GMRESR: A family of nested GMRES methods, Numer. Lin. Alg Appl. Volume 1, 1994, pp. 369-386
- GLG Sleijpen: A Jacobi -Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Appl., Volume 17, 1996, pp. 401-425
- With A. van der Sluis: The rate of convergence of conjugate gradients, Computational Mathematics, Volume 48, 1986, pp. 543-560,
- High performance preconditioning, SIAM J. Sci. Statist. Comput. 10, 1989, p 1174-1185
- Iterative Krylov Methods for Large Linear systems, Cambridge University Press, Cambridge, 2003