The common (P,Q)-symmetric solutions to a pair of matrix equations over the quaternion algebra

被引：0

作者：

Wang, Qing-Wen ^{[1
]}

Chang, Hai-Xia ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY | 2007年

关键词：

quaternion; quaternion field; quaternion matrix; Moore-Penrose inverse; system of matrix equations; (P; Q)-symmetric matrix;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H-mxn denote the set of all m x n matrices over the real quaternion algebra H and P is an element of H-mxm, Q is an element of H-nxn be involutions, i.e., P-2 = I, Q(2) = I. We say that A is an element of H-mxn is (P, Q)-symmetric if A = PAQ. In this paper, necessary and sufficient conditions for the existence of and an expression for the (P, Q)-symmetric solution to the system of quaternion matrix equations XBa = C-a and A(b)XB(b) = C-b are presented.

引用

页码：466 / 469

页数：4

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