Right-Hand Side Dependent Bounds for GMRES Applied to Ill-Posed Problems - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Communication Dans Un Congrès Année : 2014

Right-Hand Side Dependent Bounds for GMRES Applied to Ill-Posed Problems

Jennifer Pestana
  • Fonction : Auteur
  • PersonId : 978263

Résumé

In this paper we apply simple GMRES bounds to the nearly singular systems that arise in ill-posed problems. Our bounds depend on the eigenvalues of the coefficient matrix, the right-hand side vector and the nonnormality of the system. The bounds show that GMRES residuals initially decrease, as residual components associated with large eigenvalues are reduced, after which semi-convergence can be expected because of the effects of small eigenvalues.
Fichier principal
Vignette du fichier
978-3-662-45504-3_22_Chapter.pdf (4 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01286418 , version 1 (10-03-2016)

Licence

Identifiants

Citer

Jennifer Pestana. Right-Hand Side Dependent Bounds for GMRES Applied to Ill-Posed Problems. 26th Conference on System Modeling and Optimization (CSMO), Sep 2013, Klagenfurt, Austria. pp.230-236, ⟨10.1007/978-3-662-45504-3_22⟩. ⟨hal-01286418⟩
65 Consultations
100 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More