A System of Four Generalized Sylvester Matrix Equations over the Quaternion Algebra-Reference-Cited by-同舟云学术

A System of Four Generalized Sylvester Matrix Equations over the Quaternion Algebra

Published:2024-07-26 Issue:15 Volume:12 Page:2341
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

He Zhuo-Heng¹,Tian Jie¹,Yu Shao-Wen²^ORCID

Affiliation:

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

2. School of Mathematics, East China University of Science and Technology, Shanghai 200237, China

Abstract

In this paper, we make use of the simultaneous decomposition of eight quaternion matrices to study the solvability conditions and general solutions to a system of two-sided coupled Sylvester-type quaternion matrix equations AiXiCi+BiXi+1Di=Ωi,i=1,2,3,4. We design an algorithm to compute the general solution to the system and give a numerical example. Additionally, we consider the application of the system in the encryption and decryption of color images.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/15/2341/pdf

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