Journal
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS
Volume 22, Issue 4, Pages 761-776Publisher
WILEY
DOI: 10.1002/nla.1987
Keywords
complex linear systems; symmetric positive definite; GSOR method; preconditioning
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Funding
- University of Guilan
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In this paper, we present a preconditioned variant of the generalized successive overrelaxation (GSOR) iterative method for solving a broad class of complex symmetric linear systems. We study conditions under which the spectral radius of the iteration matrix of the preconditioned GSOR method is smaller than that of the GSOR method and determine the optimal values of iteration parameters. Numerical experiments are given to verify the validity of the presented theoretical results and the effectiveness of the preconditioned GSOR method. Copyright (c) 2015 John Wiley & Sons, Ltd.
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