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Parallel preconditioners for the conjugate gradient algorithm using Gram-Schmidt and least squares methods

Auteur(s)
Straubhaar, Julien 
Centre d'hydrogéologie et de géothermie 
Date de parution
2008-10
In
PARALLEL COMPUTING
Vol.
10
No
34
De la page
551
A la page
569
Revu par les pairs
1
Mots-clés
  • Preconditioned conjugate gradient method
  • Gram-Schmidt orthogonalization
  • Least squares
  • Parallelization
  • Performance
  • Speed-up
  • Preconditioned conjug...

  • Gram-Schmidt orthogon...

  • Least squares

  • Parallelization

  • Performance

  • Speed-up

Résumé
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.
Identifiants
https://libra.unine.ch/handle/123456789/18174
_
10.1016/j.parco.2008.06.001
Type de publication
journal article
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