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Preconditioners for the conjugate gradient algorithm using Gram–Schmidt and least squares methods

Auteur(s)
Straubhaar, Julien 
Centre d'hydrogéologie et de géothermie 
In
International Journal of Computer Mathematics, 2007/84/1/89-108
Mots-clés
  • Conjugate gradient method
  • Preconditioner
  • Gram–Schmidt orthogonalization
  • Least squares
  • Condition number
  • Conjugate gradient me...

  • Preconditioner

  • Gram–Schmidt orthogon...

  • Least squares

  • Condition number

Résumé
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.
Identifiants
https://libra.unine.ch/handle/123456789/9373
_
10.1080/00207160601173621
Type de publication
journal article
Dossier(s) à télécharger
 main article: Straubhaar_Julien_-_Preconditioners_for_the_conjugate_gradient-20130410_.pdf (751.24 KB)
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