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◇ arXiv2026-09-04· math.CO

All doubly stochastic solutions to $AXA = XAX$ when $A$ is a permutation matrix

Bogdan D. Djordjević, Nebojša Č. Dinčić, Yingshan Chen

原始摘要(英文原文)· Original abstract
In this paper we obtain all doubly-stochastic solutions to the Yang-Baxter-like matrix equation $AXA = XAX$ when $A$ is a permutation matrix. We characterize the permutation solutions, proper doubly stochastic solutions, and we accompany our results with suitable examples.
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