# Henk van der Vorst

**Hendrik "Henk" Albertus van der Vorst** (born 5 May 1944, Venlo)^{[1]} is a Dutch mathematician and Emeritus Professor of Numerical Analysis at Utrecht University. According to the Institute for Scientific Information (ISI), his paper^{[2]}
on the BiCGSTAB method was the most cited paper in the field of mathematics in the 1990s.^{[3]}
He is a member of the Royal Netherlands Academy of Arts and Sciences (KNAW) since 2002^{[4]}
and the Netherlands Academy of Technology and Innovation.^{[5]}
In 2006 he was awarded a knighthood of the Order of the Netherlands Lion.^{[6]}
Henk van der Vorst is a Fellow of Society for Industrial and Applied Mathematics (SIAM).^{[7]}

His major contributions include preconditioned iterative methods, in particular the ICCG (incomplete
Cholesky conjugate gradient) method (developed together with Koos Meijerink), a version of preconditioned conjugate gradient method,^{[8]}^{[9]}
the BiCGSTAB^{[2]} and (together with Kees Vuik) GMRESR^{[10]}
Krylov subspace methods and (together with Gerard Sleijpen) the Jacobi-Davidson method^{[11]}
for solving ordinary, generalized, and nonlinear eigenproblems.
He has analyzed convergence behavior of the conjugate gradient^{[12]} and Lanczos methods. He has also developed a number of preconditioners for parallel computers,^{[13]} 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^{[14]}
and one of the authors of the Templates projects for linear problems^{[15]}
and eigenproblems.^{[16]}

### Discover more about Henk van der Vorst related topics

Source: "Henk van der Vorst", Wikipedia, Wikimedia Foundation, (2022, November 25th), https://en.wikipedia.org/wiki/Henk_van_der_Vorst.

## Further Reading

###### References

**^**Prof.dr. H.A. van der Vorst at the*Catalogus Professorum Academiæ Rheno-Traiectinæ*- ^
^{a}^{b}H.A. van der Vorst (1992), "Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems",*SIAM J. Sci. Stat. Comput.*,**13**(2): 631–644, doi:10.1137/0913035, hdl:10338.dmlcz/104566 **^***in-cites, September 2001*, 2001**^**"Henk van der Vorst" (in Dutch). Royal Netherlands Academy of Arts and Sciences. Retrieved 14 July 2015.**^***Members of the Netherlands Academy of Technology and Innovation*, archived from the original on 2011-07-24**^**Jan Brandts; Bernd Fischer; Andy Wathen (December 2006), "Reflections on Sir Henk van der Vorst",*SIAM News*,**39**(10)**^**"SIAM Fellows: Class of 2009". SIAM. Retrieved 2009-12-18.**^**J.A. Meijerink; H.A.van der Vorst (1977), "An Iterative Solution Method for Linear Systems of Which the Coefficient Matrix is a Symmetric M-Matrix",*Math. Comp.*,**31**(137): 148–162, doi:10.2307/2005786, JSTOR 2005786**^**H.A. van der Vorst (1981), "Iterative solution methods for certain sparse linear systems with a non-symmetric matrix arising from PDE-problems",*J. Comput. Phys.*,**44**(1): 1–19, Bibcode:1981JCoPh..44....1V, doi:10.1016/0021-9991(81)90034-6**^**H.A. van der Vorst; C. Vuik (1994), "GMRESR: A family of nested GMRES methods",*Numer. Lin. Alg. Appl.*,**1**(4): 369–386, CiteSeerX 10.1.1.465.4477, doi:10.1002/nla.1680010404**^**G.L.G. Sleijpen; H.A. van der Vorst (1996), "A Jacobi-Davidson iteration method for linear eigenvalue problems",*SIAM J. Matrix Anal. Appl.*,**17**(2): 401–425, CiteSeerX 10.1.1.50.2569, doi:10.1137/S0895479894270427**^**A. van der Sluis; H.A. van der Vorst (1986), "The rate of convergence of conjugate gradients",*Numerische Mathematik*,**48**(5): 543–560, doi:10.1007/BF01389450, S2CID 122190605**^**H.A. van der Vorst (1989), "High performance preconditioning",*SIAM J. Sci. Stat. Comput.*,**10**(6): 1174–1185, doi:10.1137/0910071**^**H.A. van der Vorst (April 2003),*Iterative Krylov Methods for Large Linear systems*, Cambridge University Press, Cambridge, ISBN 978-0-521-81828-5**^**Barrett, Richard; Berry, Michael W.; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; Vorst, Henk van der (January 1994),*Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods*, ISBN 978-0-89871-328-2, retrieved 1 January 2008**^**Bai, Zhaojun; Demmel, James; Dongarra, Jack; Ruhe, Axel; Vorst, Henk van der (January 2000),*Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide*, ISBN 978-0-89871-471-5, retrieved 1 January 2008

###### External links

- Home page of Henk van der Vorst at Utrecht University (Accessed December 2009)
- Private homepage of Henk van der Vorst (Accessed December 2009)
- Henk van der Vorst at the Mathematics Genealogy Project

###### Categories

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