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Straubhaar, Julien
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Straubhaar, Julien
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julien.straubhaar@unine.ch
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- PublicationMétadonnées seulementParallel preconditioners for the conjugate gradient algorithm using Gram-Schmidt and least squares methods(2008-10)This paper is devoted to the study of some preconditioned conjugate gradient algorithms on parallel computers. The considered preconditioners (presented in [J. Straubhaar, Preconditioners; for the conjugate gradient algorithm using Gram-Schmidt and least squares methods, Int. J. Comput. Math. 84 (1) (2007) 89-108]) are based on incomplete Gram-Schmidt orthogonalization and least squares methods. The construction of the preconditioner and the resolution are treated separately. Numerical tests are performed and speed-up curves are presented in order to evaluate the performance of the algorithms.
- PublicationMétadonnées seulementPreconditioners for the conjugate gradient algorithm using Gram-Schmidt and least squares methods(2007-1)This paper is devoted to the study of some preconditioners for the conjugate gradient algorithm used to solve large sparse linear and symmetric positive definite systems. The construction of a preconditioner based on the Gram-Schmidt orthogonalization process and the least squares method is presented. Some results on the condition number of the preconditioned system are provided. Finally, numerical comparisons are given for different preconditioners.