The reducible solution to a system of matrix equations over the Hamilton quaternion algebra-Reference-Cited by-同舟云学术

The reducible solution to a system of matrix equations over the Hamilton quaternion algebra

Published:2023 Issue:9 Volume:37 Page:2731-2742
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Liu Long-Sheng¹,Wang Qing-Wen²

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai, P.R. China

2. Department of Mathematics, Shanghai University, Shanghai, P.R. China + Collaborative Innovation Center for the Marine Artificial Intelligence, Shanghai, P.R. China

Abstract

Reducible matrices are closely associated with the connection of directed graph and can be used in stochastic processes, biology and others. In this paper, we investigate the reducible solution to a system of matrix equations over the Hamilton quaternion algebra. We establish the necessary and sufficient conditions for the system to have a reducible solution and derive a formula of the general reducible solution of the system when it is solvable. Finally, we present a numerical example to illustrate the main results of this paper.

Publisher

National Library of Serbia

Subject

General Mathematics

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