Work

A System of Coupled Matrix Equations with an Application over the Commutative Quaternion Ring

Year: 2025

Type: article

Abstract: In this paper, we study the necessary and sufficient conditions for a system of matrix equations to have a solution and a Hermitian solution. As an application, we establish the necessary and sufficient conditions for a classical matrix system to have a reducible solution. Finally, we present an algorithm, along with two concrete examples to validate the main conclusions.

Source: Symmetry

DOI: 10.3390/sym17040619

Authors: Xiao-Quan Chen, Long-Sheng Liu, Xiao-Xiao Ma, Qian-Wen Long

Institution: Anqing Normal University

Language: English

Topic: Matrix Theory and Algorithms

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4409606617

FWCI: 0.961

Cites: 40

Cited by: 2

Related to: 10