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

被引：6
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
收藏
页数：26
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