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Further Solutions of a Yang-Baxter-like Matrix Equation

Published online by Cambridge University Press:  28 May 2015

Jiu Ding*
Affiliation:
Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MS 39406-5045, USA
Chenhua Zhang*
Affiliation:
Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MS 39406-5045, USA
Noah H. Rhee*
Affiliation:
Department of Mathematics and Statistics, University of Missouri - Kansas City, Kansas City, MO 64110-2499, USA
*
Corresponding author. Email Address: [email protected]
Corresponding author. Email Address: [email protected]
Corresponding author. Email Address: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Global-Science Press 2013

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