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Cited article:

Doubly stochastic and permutation solutions to AXA = XAX when A is a permutation matrix

Bogdan D. Djordjević
Linear Algebra and its Applications 661 79 (2023)

Commuting Outer Inverse-Based Solutions to the Yang–Baxter-like Matrix Equation

Ashim Kumar, Dijana Mosić, Predrag S. Stanimirović, Gurjinder Singh and Lev A. Kazakovtsev
Mathematics 10 (15) 2738 (2022)