A generalized modified HSS method for singular complex symmetric linear systems

被引：6

作者：

Chao, Zhen ^{[1
]}

Chen, Guo-Liang ^{[1
]}

机构：

[1] East China Normal Univ, Dept Math, Shanghai Key Lab Pure Math & Math Practice, Dongchuan RD 500, Shanghai 200241, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2016年 / 73卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Singular complex linear system; Semi-convergence; Iteration method; Hermitian and skew-Hermitian splitting; MHSS METHOD;

D O I：

10.1007/s11075-015-0086-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the Hermitian and skew-Hermitian splitting, we give a generalized modified Hermitian and skew-Hermitian splitting (GMHSS) method to solve singular complex symmetric linear systems, this method has two parameters. We give the semi-convergent conditions, and some numerical experiments are given to illustrate the efficiency of this method.

引用

页码：77 / 89

页数：13

共 16 条

[1]

[Anonymous], 1979, Generalized inverses of linear transformations

[2]

[Anonymous], 1979, NONNEGATIVE MATRICES

[3] Optical tomography in medical imaging [J].

Arridge, SR .

INVERSE PROBLEMS, 1999, 15 (02) :R41-R93

[4] On preconditioned MHSS iteration methods for complex symmetric linear systems [J].

Bai, Zhong-Zhi ;

Benzi, Michele ;

Chen, Fang .

NUMERICAL ALGORITHMS, 2011, 56 (02) :297-317

[5] On semi-convergence of Hermitian and skew-Hermitian splitting methods for singular linear systems [J].

Bai, Zhong-Zhi .

COMPUTING, 2010, 89 (3-4) :171-197

[6] Modified HSS iteration methods for a class of complex symmetric linear systems [J].

Bai, Zhong-Zhi ;

Benzi, Michele ;

Chen, Fang .

COMPUTING, 2010, 87 (3-4) :93-111

[7] Hermitian and skew-Hermitian splitting methods for non-hermitian positive definite linear systems [J].

Bai, ZZ ;

Golub, GH ;

Ng, MK .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2003, 24 (03) :603-626

[8] Block preconditioning of real-valued iterative algorithms for complex linear systems [J].

Benzi, Michele ;

Bertaccini, Daniele .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2008, 28 (03) :598-618

[9] A generalized preconditioned HSS method for singular saddle point problems [J].

Chao, Zhen ;

Zhang, Naimin .

NUMERICAL ALGORITHMS, 2014, 66 (02) :203-221

[10] On semi-convergence of modified HSS iteration methods [J].

Chen, Fang ;

Liu, Qing-Quan .

NUMERICAL ALGORITHMS, 2013, 64 (03) :507-518

← 1 2 →