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Computing Solutions of the Yang-Baxter-Like Matrix Equation for Diagonalisable Matrices

Computing Solutions of the Yang-Baxter-Like Matrix Equation for Diagonalisable Matrices
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Year:    2015

East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 75–84

Abstract

The Yang-Baxter-like matrix equation $AXA = XAX$ is reconsidered, where $A$ is any complex square matrix. A collection of spectral solutions for the unknown square matrix $X$ were previously found. When $A$ is diagonalisable, by applying the mean ergodic theorem we propose numerical methods to calculate those solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.230414.311214a

East Asian Journal on Applied Mathematics, Vol. 5 (2015), Iss. 1 : pp. 75–84

Published online:    2015-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Matrix equation mean ergodic theorem diagonalisable matrix.

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