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Further Solutions of a Yang-Baxter-like Matrix Equation

Published online by Cambridge University Press:  28 May 2015

Jiu Ding ,
Chenhua Zhang  and
Noah H. Rhee
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: Jiu.Ding@usm.edu
Corresponding author. Email Address: Chenhua.Zhang@usm.edu
Corresponding author. Email Address: RheeN@umkc.edu
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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.

Keywords

15A18Matrix equationJordan canonical formprojector

Information

Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 3 , Issue 4 , November 2013 , pp. 352 - 362
Copyright
Copyright © Global-Science Press 2013

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