A matrix CRS iterative method for solving a class of coupled Sylvester-transpose matrix equations

被引：11

作者：

Chen, Cai-Rong

Ma, Chang-Feng ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 74卷 / 06期

关键词：

Sylvester-transpose matrix equations; CRS method; Kronecker product; Numerical experiment; RECURSIVE BLOCKED ALGORITHMS; NONSYMMETRIC LINEAR-SYSTEMS; LEAST-SQUARES SOLUTIONS; GENERALIZED SYLVESTER; TRIANGULAR SYSTEMS; SYMMETRIC-MATRICES; AXB; IDENTIFICATION; AYB;

D O I：

10.1016/j.camwa.2017.06.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we apply Kronecker product and vectorization operator to extend the conjugate residual squared (CRS) method for solving a class of coupled Sylvester-transpose matrix equations. Some numerical examples are given to compare the accuracy and efficiency of the new matrix iterative method with other methods presented in the literature. Numerical results validate that the proposed method can be much more efficient than some existing methods. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1223 / 1231

页数：9

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