Solving 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 detQTP≠0 and so 0 is a semisimple eigenvalue of A with multiplicity n−2. We solve the quadratic matrix equation AXA=XAX completely.
Journal of Computational and Applied Mathematics
(2017). Solving the Yang-Baxter-Like Matrix Equation for Rank-Two Matrices. Journal of Computational and Applied Mathematics, 313, 142-151.
Available at: https://aquila.usm.edu/fac_pubs/15291