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

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

Source record

Source: arXiv

Published: Sep 4, 2026

arXiv: 2609.05577

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Source 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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