Commuting solutions of the Yang-Baxter-like matrix equation for a class of rank-two updated matrices

摘要

Let A = I - PQ(T), where P and Q are two n x 2 complex matrices of full column rank and det(Q(T)P) not equal 0. All the commuting solutions with A of the quadratic matrix equation AXA = XAX have been founded. (C) 2018 Elsevier Ltd. All rights reserved.