HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation

Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems

Miloud Sadkane 1
1 CALCPAR - Calculateurs Parallèles
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We present two methods for computing the leading eigenpairs of large sparse unsymmetric matrices. Namely the block-Arnoldi method and an adaptationof the Davidson method to unsymmetric matrices. We give some theoretical results concerning the convergence of these two methods when restarting is used and discuss implementation aspects of the two methods on an Alliant FX/80. Finally some results of numerical tests on a variety of matrices including matrices from the Harwell-Boeing test collection in which we compare these these two methods are reported.
Document type :
Complete list of metadata

Contributor : Rapport de Recherche Inria Connect in order to contact the contributor
Submitted on : Monday, May 29, 2006 - 11:17:27 AM
Last modification on : Friday, February 4, 2022 - 3:18:29 AM
Long-term archiving on: : Friday, May 13, 2011 - 10:01:37 PM


  • HAL Id : inria-00076899, version 1


Miloud Sadkane. Block-Arnoldi and Davidson methods for unsymmetric large eigenvalue problems. [Research Report] RR-1676, INRIA. 1992. ⟨inria-00076899⟩



Record views


Files downloads