On the Yang-Baxter-like matrix equation for rank-two matrices

Duanmei Zhou, Guoliang Chen, and Jiu Ding. "On the Yang-Baxter-like matrix equation for rank-two matrices." Open Mathematics 15.1 (2017): 340-353. <http://eudml.org/doc/288077>.

@article{DuanmeiZhou2017,
abstract = {Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.},
author = {Duanmei Zhou, Guoliang Chen, Jiu Ding},
journal = {Open Mathematics},
keywords = {Rank-two matrix; Matrix equation; Jordan form; rank-two matrix; quadratic matrix equation},
language = {eng},
number = {1},
pages = {340-353},
title = {On the Yang-Baxter-like matrix equation for rank-two matrices},
url = {http://eudml.org/doc/288077},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Duanmei Zhou
AU - Guoliang Chen
AU - Jiu Ding
TI - On the Yang-Baxter-like matrix equation for rank-two matrices
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 340
EP - 353
AB - Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.
LA - eng
KW - Rank-two matrix; Matrix equation; Jordan form; rank-two matrix; quadratic matrix equation
UR - http://eudml.org/doc/288077
ER -