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arXiv · 2609.05577

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

Bogdan D. Djordjević·Nebojša Č. Dinčić·Yingshan Chen
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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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Bogdan D. Djordjević, Nebojša Č. Dinčić, Yingshan Chen. 2026-09-04. All doubly stochastic solutions to $AXA = XAX$ when $A$ is a permutation matrix. https://arxiv.org/abs/2609.05577

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