The ?-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation

被引：0
|
作者：
Chen, Xue-Ying [1 ]
Wang, Qing-Wen [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai, Peoples R China
来源：
BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Generalized commutative quaternion algebra; Matrix equation; -(Anti-)Hermitian matrix; TRANSFORM; AX;
D O I：
10.1007/s43037-023-00262-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some practical necessary and sufficient conditions for the existence of an ?-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation. We also provide the general ?-(anti-)Hermitian solution to the constrained matrix equation when it is solvable. Moreover, we present algorithms and numerical examples to illustrate the results of this paper.
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页数：39
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