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Accelerated GPMHSS Method for Solving Complex Systems of Linear Equations

Part of:Numerical linear algebra

Published online by Cambridge University Press:  31 January 2017

Jing Wang,
Xue-Ping Guo and
Hong-Xiu Zhong
Jing Wang*
Affiliation:
Shandong Computer Science Center, Jinan 250014, Shandong, P.R. China
Xue-Ping Guo*
Affiliation:
Department of Mathematics, East China Normal University, Shanghai 200241, P.R. China
Hong-Xiu Zhong*
Affiliation:
School of Science, Jiangnan University, Wuxi 214122, P.R. China
*
*Corresponding author. Email addresses:island0609@hotmail.com (J. Wang), xpguo@math.ecnu.edu.cn (X.-P. Guo), zhonghongxiu@126.com (H.-X. Zhong)
*Corresponding author. Email addresses:island0609@hotmail.com (J. Wang), xpguo@math.ecnu.edu.cn (X.-P. Guo), zhonghongxiu@126.com (H.-X. Zhong)
*Corresponding author. Email addresses:island0609@hotmail.com (J. Wang), xpguo@math.ecnu.edu.cn (X.-P. Guo), zhonghongxiu@126.com (H.-X. Zhong)

Abstract

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Preconditioned modified Hermitian and skew-Hermitian splitting method (PMHSS) is an unconditionally convergent iteration method for solving large sparse complex symmetric systems of linear equations, and uses one parameter α. Adding another parameter β, the generalized PMHSS method (GPMHSS) is essentially a twoparameter iteration method. In order to accelerate the GPMHSS method, using an unexpected way, we propose an accelerated GPMHSS method (AGPMHSS) for large complex symmetric linear systems. Numerical experiments show the numerical behavior of our new method.

Keywords

Preconditioningcomplex systems of linear equationsPMHSS methodGPMHSS methodAGPMHSS method

MSC classification

Secondary:65F10: Iterative methods for linear systems

Information

Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 1 , February 2017, pp. 143 - 155
Copyright
Copyright © Global-Science Press 2017 

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