On preconditioned MHSS iteration methods for complex symmetric linear systems

被引：0
作者：
Zhong-Zhi Bai
Michele Benzi
Fang Chen
机构：
[1] Academy of Mathematics and Systems Science,State Key Laboratory of Scientific/Engineering Computing
[2] Chinese Academy of Sciences,Institute of Computational Mathematics and Scientific/Engineering Computing
[3] Academy of Mathematics and Systems Science,Department of Mathematics and Computer Science
[4] Chinese Academy of Sciences,School of Science
[5] Emory University,undefined
[6] Xi’an University of Post and Telecommunications,undefined
来源：
Numerical Algorithms | 2011年 / 56卷
关键词：
Complex symmetric linear system; MHSS iteration; Preconditioning; Convergence theory; Spectral properties; 65F10; 65F50; CR: G1.3;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a preconditioned variant of the modified HSS (MHSS) iteration method for solving a class of complex symmetric systems of linear equations. Under suitable conditions, we prove the convergence of the preconditioned MHSS (PMHSS) iteration method and discuss the spectral properties of the PMHSS-preconditioned matrix. Numerical implementations show that the resulting PMHSS preconditioner leads to fast convergence when it is used to precondition Krylov subspace iteration methods such as GMRES and its restarted variants. In particular, both the stationary PMHSS iteration and PMHSS-preconditioned GMRES show meshsize-independent and parameter-insensitive convergence behavior for the tested numerical examples.
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页码：297 / 317
页数：20
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