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.