Year: 2020
Author: Qixiang Dong, Jiu Ding
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 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 $A$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.111
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 111–123
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Jordan canonical form Sylvester's equation.