On semi-convergence of modified HSS iteration methods

被引：20
作者：
Chen, Fang [1 ]
Liu, Qing-Quan [1 ]
机构：
[1] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
来源：
NUMERICAL ALGORITHMS | 2013年 / 64卷 / 03期
关键词：
Complex symmetric matrix; Modified Hermitian and skew-Hermitian splitting; Iteration method; Semi-convergence; HERMITIAN SPLITTING METHODS;
D O I：
10.1007/s11075-012-9676-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).
引用
收藏
页码：507 / 518
页数：12
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