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

Duanmei Zhou; Guoliang Chen; Jiu Ding

Open Mathematics (2017)

- Volume: 15, Issue: 1, page 340-353
- ISSN: 2391-5455

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topDuanmei 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 -

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