Hendrik "Henk" Albertus van der Vorst (born 5 May 1944,

Venlo Venlo () is a List of cities in the Netherlands by province, city and List of municipalities of the Netherlands, municipality in southeastern Netherlands, close to the border with Germany. It is situated in the province of Limburg (Netherlands), ...

) is a Dutch mathematician and

Emeritus Professor ''Emeritus/Emerita'' () is an honorary title granted to someone who retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". In some c ...

Numerical Analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic computation, symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of ...

Utrecht University Utrecht University (UU; , formerly ''Rijksuniversiteit Utrecht'') is a public university, public research university in Utrecht, Netherlands. Established , it is one of the oldest universities in the Netherlands. In 2023, it had an enrollment of ...

. According to the

Institute for Scientific Information The Institute for Scientific Information (ISI) was an academic publishing service, founded by Eugene Garfield in Philadelphia in 1956. ISI offered scientometric and bibliographic database services. Its specialty was citation indexing and analysis, ...

(ISI), his paper on the BiCGSTAB method was the most cited paper in the field of mathematics in the 1990s. He is a member of the

Royal Netherlands Academy of Arts and Sciences The Royal Netherlands Academy of Arts and Sciences (, KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory a ...

(KNAW) since 2002 and th
Netherlands Academy of Technology and Innovation
In 2006 he was awarded a knighthood of the

Order of the Netherlands Lion The Order of the Netherlands Lion, also known as the Order of the Lion of the Netherlands (, ) is a Dutch honours system, Dutch order of chivalry founded by William I of the Netherlands on 29 September 1815. The Order of the Netherlands Lion wa ...

. Henk van der Vorst is a Fellow of

Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific soci ...

(SIAM). 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 In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite. The conjugate gradient method is often implemented as an i ...

, the BiCGSTAB and (together with Kees Vuik) GMRESR

Krylov subspace In linear algebra, the order-''r'' Krylov subspace generated by an ''n''-by-''n'' matrix ''A'' and a vector ''b'' of dimension ''n'' is the linear subspace spanned by the images of ''b'' under the first ''r'' powers of ''A'' (starting from A^0=I) ...

methods and (together with Gerard Sleijpen) the Jacobi-Davidson method for solving ordinary, generalized, and

nonlinear In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathe ...

eigenproblems. He has analyzed convergence behavior of the

conjugate gradient In mathematics, the conjugate gradient method is an algorithm for the numerical solution of particular systems of linear equations, namely those whose matrix is positive-semidefinite. The conjugate gradient method is often implemented as an it ...

and Lanczos methods. He has also developed a number of

preconditioner In mathematics, preconditioning is the application of a transformation, called the preconditioner, that conditions a given problem into a form that is more suitable for numerical solving methods. Preconditioning is typically related to reducing ...

s for parallel computers, including truncated

Neumann series A Neumann series is a mathematical series that sums ''k''-times repeated applications of an operator T . This has the generator form : \sum_^\infty T^k where T^k is the ''k''-times repeated application of T ; T^0 is the identity operator I a ...

preconditioner, incomplete twisted factorizations, and the incomplete factorization based on the so-called "vdv" ordering. He is the author of the book ''Iterative Krylov Methods for Large Linear systems'' and one of the authors of the Templates projects for linear problems and eigenproblems.

References

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) * {{DEFAULTSORT:Vorst, Henk A. Van Der 1944 births Living people 20th-century Dutch mathematicians 21st-century Dutch mathematicians Numerical analysts Academic staff of Utrecht University Academic staff of the Delft University of Technology Utrecht University alumni Fellows of the Society for Industrial and Applied Mathematics Members of the Royal Netherlands Academy of Arts and Sciences People from Venlo