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PreprintCC BY 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{djordjevic2026doubly,
  title = {{All doubly stochastic solutions to $AXA = XAX$ when $A$ is a permutation matrix}},
  author = {Bogdan D. Djordjević and Nebojša Č. Dinčić and Yingshan Chen},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.05577},
  eprint = {2609.05577},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.05577},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - All doubly stochastic solutions to AXA = XAX when A is a permutation matrix
AU  - Bogdan D. Djordjević
AU  - Nebojša Č. Dinčić
AU  - Yingshan Chen
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.05577
UR  - https://arxiv.org/abs/2609.05577
AB  - 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.
ER  -