All solutions of the Yang-Baxter-like matrix equation for rank-one matrices

作者：Tian Haiyan^*

来源：Applied Mathematics Letters, 2016, 51: 55-59.

DOI：10.1016/j.aml.2015.07.009

• Rank-one matrix
• Matrix equation
• Jordan form
• Spectral perturbation

Let A = pq(T), where p and q are two nonzero n-dimensional complex vectors. We solve the quadratic matrix equation AXA=XAX to find all the solutions.

• 出版日期2016-1