On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation AXB = C

被引：73

作者：

Wang, Xiang ^{[1
]}

Li, Yan ^{[1
]}

Dai, Lin ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 04期

关键词：

HSS iteration method; Matrix equations; Convergence; SYSTEMS;

D O I：

10.1016/j.camwa.2012.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving the linear matrix equation AXB = C is proposed. This method is formed by extending the corresponding HSS iteration method for solving Ax = b. The analysis shows that the HSS iteration method will converge under certain assumptions. Moreover, the optimal parameter of this iteration method is presented. Numerical results show that this new method is more efficient and robust than existing methods. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：657 / 664

页数：8

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