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

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...

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Bibliographic Details
Main Authors: Zhou Duanmei, Chen Guoliang, Ding Jiu
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2017-0026