Year: 2015
Author: Guo-Yan Meng, Rui-Ping Wen
Journal of Mathematical Study, Vol. 48 (2015), Iss. 1 : pp. 18–29
Abstract
In this paper, we consider a self-adaptive extrapolated Gauss-Seidel method for solving the Hermitian positive definite linear systems. Based on optimization models, self-adaptive optimal factor is given. Moreover, we prove the convergence of the self-adaptive extrapolated Gauss-Seidel method without any constraints on optimal factor. Finally, the numerical examples show that the self-adaptive extrapolated Gauss-Seidel method is effective and practical in iteration number.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v48n1.15.02
Journal of Mathematical Study, Vol. 48 (2015), Iss. 1 : pp. 18–29
Published online: 2015-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Hermitian positive definite Gauss-Seidel iteration self-adaptive extrapolated linear systems.
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