The General Solution to a System of Eight Quaternion Matrix Equations with Applications

被引：0
作者：
Ebadi, G. [1 ]
Rashedi, S. [1 ]
机构：
[1] Univ Tabriz, Fac Math Sci, Tabriz 5166614766, Iran
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2016年 / 40卷 / A2期
关键词：
The general solution; Quaternion matrix equations; Symmetric solution; Rank of matrix; REAL;
D O I：
10.1007/s40995-016-0010-2
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper studies some necessary and sufficient conditions for the existence of a solution and gives an expression of the general solution to the system of eight linear quaternion matrix equations. As an application, necessary and sufficient conditions are given for the system of certain matrix equations to have a symmetric solution. Note that in some of the mentioned conditions we use rank equalities. In addition, some numerical examples are given.
引用
收藏
页码：91 / 102
页数：12
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