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Open Mathematics | Vol.15, Issue.1 | 2017-05-23 | Pages

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

Zhou Duanmei,Chen Guoliang,Ding Jiu

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.

Original Text (This is the original text for your reference.)

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

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Keywords

quadratic matrix equation axa qtp

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Zhou Duanmei,Chen Guoliang,Ding Jiu,.On the Yang-Baxter-like matrix equation for rank-two matrices. 15 (1),.

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