The reflexive re-nonnegative definite solution to a quaternion matrix equation

被引：0

作者：

Wang, Qing-Wen ^{[1
]}

Zhang, Fei ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2008年 / 17卷

关键词：

quaternion matrix equation; reflexive matrix; re-nonnegative definite matrix; reflexive re-nonnegative definite matrix;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper a necessary and sufficient condition is established for the existence of the reflexive re-nonnegative definite solution to the quaternion matrix equation AXA* = B, where * stands for conjugate transpose. The expression of such solution to the matrix equation is also givenfurthermore, a necessary and sufficient condition is derived for the existence of the general re- nonnegative definite solution to the quaternion matrix equation A(1)X(1)A(1)* + A(2)X(2)A(2)* = B. The representation of such solution to the matrix equation is given.

引用

页码：88 / 101

页数：14

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