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An Assessment of the Parallel Preconditioners for the Large Symmetric Generalized Eigenvalue Problems by CG-type Methods

Authors
Ma, SangbackJang, Ho-Jong
Issue Date
May-2009
Publisher
International Information Institute
Keywords
Generalized Eigenvalue Problem; Preconditioned Conjugate Gradient; Parallel Computation
Citation
Information, v.12, no.3, pp 485 - 496
Pages
12
Indexed
SCIE
SCOPUS
Journal Title
Information
Volume
12
Number
3
Start Page
485
End Page
496
URI
https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/41270
DOI
10.1190/geo2021-0275.1
ISSN
1343-4500
Abstract
Preconditioned Krylov subspace methods have proved to be efficient, for computing the interior spectrum of large symmetric generalized eigenvalue problem. As in the case of linear systems the success of these methods in many cases is due to the existence of good preconditioning techniques. In this paper we consider parallel version of ILU-type, SSOR-type, and multilevel preconditioners. Parallel implementation of our work have been made on IBM p595 Machine, and our results show that in general the Multi-Color ILU(0) gives the best performance, while for some cases with a high number of processors Multi-Color Block SSOR(MC-BSSOR) gives the best performance.
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