Peter Sonneveld

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Peter Sonneveld (born before 1976) is a Dutch graduate engineer who studies numerical linear algebra. He is at the Institute for Applied Mathematics at the TU Delft .

In 1989 Sonneveld published the CGS method for solving large linear systems of equations, a further development of the BiCG method . In 1976 he developed the Induced Dimension Reduction (IDR) method (published in 1980) and in 2006 with Martin van Gijzen its generalization IDR (s). They belong to the Krylov methods ( Lanczos-type product methods ).

Fonts

  • A fast Lanczos-type solver for non-symmetric linear systems, SIAM J. Sci. Extra Comput., 10, 1989, 36-52
  • with MB van Gijzen: IDR (s): a family of simple and fast algorithms for solving large nonsymmetric linear systems, SIAM Journal on Scientific Computing, Volume 31, 2008, pp. 1035-1062.
  • with MB van Gijzen: An elegant IDR (s) variant that efficiently exploits bi-orthogonality properties. Reports of the Department of Applied Mathematical Analysis 21, TU Delft 2008
  • with Gerard LG Sleijpen, MB van Gijzen: Bi-CGSTAB as an induced dimension reduction method., Applied Numerical Mathematics, Volume 60, 2010, pp. 1100-1114.
  • with Martin Bastiaan van Gijzen: Algorithm 913: an elegant IDR (s) variant that efficiently exploits, ACM Transactions on Mathematical Software, Volume 38, 2011, pp. 1-19.
  • On the convergence behavior of IDR (s) and related methods. SIAM Journal on Scientific Computing, Volume 34, 2012, pp. 2576-2598.

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personal data
SURNAME Sonneveld, Peter
BRIEF DESCRIPTION Dutch mathematician and engineer
DATE OF BIRTH before 1976