Commuting Solutions of the Yang-Baxter Matrix Equation
Document Type
Article
Publication Date
1-1-2015
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
Let A be a square matrix with some special Jordan forms. When A is nonsingular, we find all the solutions of the quadratic matrix equation AXA=XAX, which commute with A. We also find infinitely many solutions commuting with A, depending on several parameters, when A is singular.
Publication Title
Applied Mathematics Letters
Volume
44
First Page
1
Last Page
4
Recommended Citation
Ding, J.,
Zhang, C.,
Rhee, N.
(2015). Commuting Solutions of the Yang-Baxter Matrix Equation. Applied Mathematics Letters, 44, 1-4.
Available at: https://aquila.usm.edu/fac_pubs/18584