All Commuting Solutions of a Quadratic Matrix Equation for General Matrices
J. Nonl. Mod. Anal., 2 (2020), pp. 111-123.
Published online: 2021-04
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@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} }
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 -
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 $A$.
Qixiang Dong & Jiu Ding. (1970). All Commuting Solutions of a Quadratic Matrix Equation for General Matrices.
Journal of Nonlinear Modeling and Analysis. 2 (1).
111-123.
doi:10.12150/jnma.2020.111
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