The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations-Reference-Cited by-同舟云学术

The Hermitian Solution to a New System of Commutative Quaternion Matrix Equations

Published:2024-03-17 Issue:3 Volume:16 Page:361
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Zhang Yue¹,Wang Qing-Wen¹²^ORCID,Xie Lv-Ming¹

Affiliation:

1. Department of Mathematics, Newtouch Center for Mathematics, Shanghai University, Shanghai 200444, China

2. Collaborative Innovation Center for the Marine Artificial Intelligence, Shanghai 200444, China

Abstract

This paper considers the Hermitian solutions of a new system of commutative quaternion matrix equations, where we establish both necessary and sufficient conditions for the existence of solutions. Furthermore, we derive an explicit general expression when it is solvable. In addition, we also provide the least squares Hermitian solution in cases where the system of matrix equations is not consistent. To illustrate our main findings, in this paper we present two numerical algorithms and examples.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/3/361/pdf

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