On Preconditioned MHSS Real-Valued Iteration Methods for a Class of Complex Symmetric Indefinite Linear Systems
Year: 2016
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 2 : pp. 192–210
Abstract
A generalized preconditioned modified Hermitian and skew-Hermitian splitting (GPMHSS) real-valued iteration method is proposed for a class of complex symmetric indefinite linear systems. Convergence theory is established and the spectral properties of an associated preconditioned matrix are analyzed. We also give several variants of the GPMHSS preconditioner and consider the spectral properties of the preconditioned matrices. Numerical examples illustrate the effectiveness of our proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.141015.260216a
East Asian Journal on Applied Mathematics, Vol. 6 (2016), Iss. 2 : pp. 192–210
Published online: 2016-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Complex linear systems PMHSS iteration real-valued form convergence preconditioning.