TY - JOUR
T1 - All Commuting Solutions of a Quadratic Matrix Equation for General Matrices
AU - Dong , Qixiang
AU - Ding , Jiu
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 111
EP - 123
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.111
UR - https://global-sci.org/intro/article_detail/jnma/18801.html
KW - Jordan canonical form, Sylvester's equation.
AB - <p style="text-align: justify;">Using the Jordan canonical form and the theory of Sylvester&#39;s
equation, we find all the commuting solutions of the quadratic matrix equation $AXA = XAX$ for an arbitrary given matrix $A$.</p>