On Hermitian Solutions of the Split Quaternion Matrix Equation AXB plus CXD = E

被引：0

作者：

Yuan, Shi-Fang ^{[1
]}

Wang, Qing-Wen ^{[2
]}

Yu, Yi-Bin ^{[3
]}

Tian, Yong ^{[1
]}

机构：

[1] Wuyi Univ, Sch Math & Computat Sci, Jiangmen 529020, Peoples R China

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

[3] Wuyi Univ, Sch Informat & Engn, Jiangmen 529020, Peoples R China

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2017年 / 27卷 / 04期

关键词：

Matrix equation; Kronecker product; Split quaternion matrix; LEAST-SQUARES SOLUTIONS; GENERAL-SOLUTION; SOLVABILITY; NORM;

D O I：

10.1007/s00006-017-0806-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss Hermitian solutions of split quaternion matrix equation where X is an unknown split quaternion Hermitian matrix, and A, B, C, D, E are known split quaternion matrices with suitable size. The objective of this paper is to establish a necessary and sufficient condition for the existence of a solution and a solution formulas. Moreover, we provide numerical algorithms and numerical examples to exemplify the results.

引用

页码：3235 / 3252

页数：18

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