East Asian J. Appl. Math., 5 (2015), pp. 75-84.
Published online: 2018-02
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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.
}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.230414.311214a}, url = {http://global-sci.org/intro/article_detail/eajam/10780.html} }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.