The reflexive and Hermitian reflexive solutions of the generalized Sylvester-conjugate matrix equation

被引：5

作者：

Hajarian, Masoud ^{[1
]}

Dehghan, Mehdi ^{[2
]}

机构：

[1] Shahid Beheshti Univ, Fac Math Sci, Dept Math, Tehran 19839, Iran

[2] Amirkabir Univ Technol, Fac Math & Comp Sci, Dept Appl Math, Tehran 15914, Iran

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2013年 / 20卷 / 04期

关键词：

The generalized Sylvester-conjugate matrix equations; Reflexive solution pair; Hermitian reflexive solution pair; Iterative method; LEAST-SQUARES SOLUTIONS; ITERATIVE ALGORITHMS; CENTROSYMMETRIC MATRICES; SOLVABILITY CONDITIONS; SYMMETRIC-SOLUTIONS; COMMON SOLUTION; IDENTIFICATION; SYSTEM; PAIR;

D O I：

10.36045/bbms/1382448185

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main purpose of this correspondence is to establish two gradient based iterative (GI) methods extending the Jacobi and Gauss-Seidel iterations for solving the generalized Sylvester-conjugate matrix equation A(1)XB(1) + A(2)(X) over barB(2) + C1YD1 + C-2(Y) over barD(2) = E, over reflexive and Hermitian reflexive matrices. It is shown that the iterative methods, respectively, converge to the reflexive and Hermitian reflexive solutions for any initial reflexive and Hermitian reflexive matrices. We report numerical tests to show the effectiveness of the proposed approaches.

引用

页码：639 / 653

页数：15

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[Anonymous], LINEAR ALGEBRA APPL

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