TY - JOUR T1 - Further Solutions of a Yang-Baxter-Like Matrix Equation JO - East Asian Journal on Applied Mathematics VL - 4 SP - 352 EP - 362 PY - 2018 DA - 2018/02 SN - 3 DO - http://doi.org/10.4208/eajam.130713.221113a UR - https://global-sci.org/intro/article_detail/eajam/10862.html KW - Matrix equation, Jordan canonical form, projector. AB -

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.