Further Solutions of a Yang-Baxter-like Matrix Equation
Document Type
Article
Publication Date
11-1-2013
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
The Yang-Baxter-like matrix equation AXA = XAX is reconsidered, and an infinite number of solutions that commute with any given complex square matrix A are found. Our results here are based on the fact that the matrix A can be replaced with its Jordan canonical form. We also discuss the explicit structure of the solutions obtained.
Publication Title
East Asian Journal on Applied Mathematics
Volume
3
Issue
4
First Page
352
Last Page
362
Recommended Citation
Ding, J.,
Zhang, C.,
Rhee, N. H.
(2013). Further Solutions of a Yang-Baxter-like Matrix Equation. East Asian Journal on Applied Mathematics, 3(4), 352-362.
Available at: https://aquila.usm.edu/fac_pubs/8007