Solving the Yang-Baxter-Like Matrix Equation for Rank-Two Matrices
Mathematics and Natural Sciences
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.
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