THE LEAST-SQUARE BISYMMETRIC SOLUTION TO A QUATERNION MATRIX EQUATION WITH APPLICATIONS

被引：0
|
作者：
Wang, Q. [1 ]
Yu, G. [1 ,2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shandong Inst Business & Technol, Dept Math, Yantai 264005, Peoples R China
来源：
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2013年 / 39卷 / 02期
基金：
中国国家自然科学基金; 上海市自然科学基金;
关键词：
Quaternion matrix equation; least-square bisymmetric solution; inertia; positive (nonnegative) solution; maximal (minimal) solution;
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 derive the necessary and sufficient conditions for the quaternionic matrix equation XA = B to have the least-square bisymmetric solution and give the expression of such solution when the solvability conditions are met. Furthermore, we derive sufficient and necessary conditions for XA = B to have the positive (nonnegative) definite least-square bisymmetric solution and the maximal (minimal) least-square bisymmetric solution.
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页码：239 / 257
页数：19
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