All Solutions of the Yang-Baxter-Like Matrix Equation When A³ = A

Authors

Mansour Saeed Ibrahim Adam, Yangzhou University
Jiu Ding, University of Southern MississippiFollow
Qianglian Huang, Yangzhou UniversityFollow
Lanping Zhu, Yangzhou Unviersity

Document Type

Article

Publication Date

1-1-2019

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let A be a square matrix satisfying A³ = A. We find all solutions of the Yang-Baxter matrix equation AXA = XAX, based on our previous result on all the solutions of the same equation for a matrix A such that A² = I.

Publication Title

Journal of Applied Analysis & Computation

Volume

9

Issue

3

First Page

1022

Last Page

1031

Recommended Citation

Adam, M. S., Ding, J., Huang, Q., Zhu, L. (2019). All Solutions of the Yang-Baxter-Like Matrix Equation When A³ = A. Journal of Applied Analysis & Computation, 9(3), 1022-1031.
Available at: https://aquila.usm.edu/fac_pubs/18038