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.

引用

页数：39

共 24 条

[1] The η\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\eta $$\end{document}-(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation
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