TY - JOUR
T1 - Further Solutions of a Yang-Baxter-Like Matrix Equation
AU - Jiu Ding, Chenhua Zhang & Noah H. Rhee
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 - <p style="text-align: justify;">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.</p>