Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns

被引：8

作者：

Zhang, Chong-Quan ^{[1
,2
]}

Wang, Qing-Wen ^{[1
,2
]}

Dmytryshyn, Andrii ^{[3
]}

He, Zhuo-Heng ^{[1
,2
]}

机构：

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

[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China

[3] Orebro Univ, Sch Sci & Technol, Orebro, Sweden

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Linear matrix equation; Inner inverse; General solution; Quaternion; Solvability; NONNEGATIVE-DEFINITE; AX; SYSTEMS; AXB+CYD;

D O I：

10.1007/s40314-024-02706-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the solvability conditions of some Sylvester-type quaternion matrix equations. We establish some practical necessary and sufficient conditions for the existence of solutions of a Sylvester-type quaternion matrix equation with five unknowns through the corresponding equivalence relations of the block matrices. Moreover, we present some solvability conditions to some Sylvester-type quaternion matrix equations, including those involving Hermicity. The findings of this article extend related known results.

引用

页数：26

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