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Further Solutions of a Yang-Baxter-Like Matrix Equation

Further Solutions of a Yang-Baxter-Like Matrix Equation
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Year:    2013

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 4 : pp. 352–362

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.130713.221113a

East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 4 : pp. 352–362

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Matrix equation Jordan canonical form projector.

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