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

Autor: Zhou Duanmei, Chen Guoliang, Ding Jiu
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Open Mathematics, Vol 15, Iss 1, Pp 340-353 (2017)
Druh dokumentu: article
ISSN: 2391-5455
DOI: 10.1515/math-2017-0026
Popis: 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.
Databáze: Directory of Open Access Journals