Self-Adaptive Extrapolated Gauss-Seidel Iterative Methods

Authors

  • Guo-Yan Meng Department of Mathematics, Xinzhou Teacher University, Xinzhou 034000, Shanxi Province, P.R. China
  • Rui-Ping Wen Department of Mathematics, Taiyuan Normal University, Taiyuan 030012, Shanxi Province, P.R. China

DOI:

https://doi.org/10.4208/jms.v48n1.15.02

Keywords:

Hermitian positive definite, Gauss-Seidel iteration, self-adaptive, extrapolated, linear systems.

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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Published

2018-08-16

Issue

Vol. 48 No. 1 (2015)

Section

Articles