Commutator-based Solutions to $AXA=XAX$ when $A^n=t{A}^2$

Bogdan D. Djordjevic, Nebojsa C. Dincic, Mihailo Djuric

This paper offers a novel analytical method for obtaining new non-commuting solutions for the Yang-Baxter-like matrix equation $AXA=XAX$, when the coefficient matrix $A$ satisfies…