@Article{JNMA-2-111, author = {Dong , Qixiang and Ding , Jiu}, title = {All Commuting Solutions of a Quadratic Matrix Equation for General Matrices}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {111--123}, abstract = {

Using the Jordan canonical form and the theory of Sylvester's equation, we find all the commuting solutions of the quadratic matrix equation $AXA = XAX$ for an arbitrary given matrix $A$.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.111}, url = {http://global-sci.org/intro/article_detail/jnma/18801.html} }