The bi-Hermitian solution to a linear quaternion matrix equation

被引：0
|
作者：
Lin, Chun-Yan [1 ]
机构：
[1] Shandong Finance Univ, Sch Stat & Sci, Jinan 250014, Peoples R China
来源：
PROCEEDINGS OF THE 14TH CONFERENCE OF INTERNATIONAL LINEAR ALGEBRA SOCIETY | 2007年
关键词：
system of linear quaternion matrix equations; reflexive inverse of a matrix; bi-Hermitian 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, we consider the bi-Hermitian solution to the quaternion matrix equation XB = C. We first give a necessary and sufficient condition for the existence of and the representation for the general solution to a system of quaternion matrix equations A(1)X = C-1,XB2 = C-2, A(3)X = C-3, XB4 = C-4. Then using the results on the system, we establish a necessary and sufficient conditions for the existence of and the expressions for the bi-Hermitian solutions to the quaternion matrix equation XB = C.
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页码：173 / 176
页数：4
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