A necessary and sufficient condition for consistency to a system of quaternion matrix equations

被引：0

作者：

Wu, Zhong-Cheng ^{[1
]}

Wang, Qing-Wen ^{[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：

real quaternion algebra; quaternion matrix equation; system of quaternion matrix equations; inner inverse of a matrix; rank of a 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 use rank equalities to establish a new and practical necessary and sufficient condition for the existence of the general solution to the system of real quaternion matrix equations A(1)X = C-1, A(2)X = C-2, A(3)XB(3) = C-3 and A(4)XB(4) = C-4, which was investigated by Wang (Comput. Math. Appl. 49(5-6) (2005): 665-675).

引用

页码：470 / 472

页数：3

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