Finds solutions for the Yang-Baxter-like equation in matrices, revealing conditions based on eigenvalues.
Let the Jordan canonical form of a 3 × 3 matrix A be J = diag( J_2 [λ], J_1 [µ]), where λ ≠ 0 and µ ≠ 0. We find all the solutions of the Yang-Baxter-like matrix equation AXA = XAX successfully by discussing whether λ and µ are equal.
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Li et al. (2025) studied this question.
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