TY - JOUR
T1 - Computing Solutions of the Yang-Baxter-Like Matrix Equation for Diagonalisable Matrices
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 75
EP - 84
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.230414.311214a
UR - https://global-sci.org/intro/article_detail/eajam/10780.html
KW - Matrix equation, mean ergodic theorem, diagonalisable matrix.
AB - <p style="text-align: justify;">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.</p>