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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 9, Pages 80–85
DOI: https://doi.org/10.26907/0021-3446-2021-9-80-85 (Mi ivm9715) 		 
Brief communications

Combinatorial structure of a semigroup of bistochastic matrices

Yu. A. Al'pin, V. G. Tregubov

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
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DOI: https://doi.org/10.26907/0021-3446-2021-9-80-85
Abstract: The Frobenius form of an irreducible bistochastic matrix is clarified. A generalization of the Frobenius form for irreducible semigroups of bistochastic matrices is described.
Keywords: nonnegative matrix, semigroup, Frobenius theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2020-1478
Received: 01.06.2021
Revised: 01.06.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 9, Pages 69–72
DOI: https://doi.org/10.3103/S1066369X21090085
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, V. G. Tregubov, “Combinatorial structure of a semigroup of bistochastic matrices”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 9, 80–85; Russian Math. (Iz. VUZ), 65:9 (2021), 69–72
Citation in format AMSBIB
\Bibitem{AlpTre21}
\by Yu.~A.~Al'pin, V.~G.~Tregubov
\paper Combinatorial structure of a semigroup of bistochastic matrices
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 9
\pages 80--85
\mathnet{http://mi.mathnet.ru/ivm9715}
\crossref{https://doi.org/10.26907/0021-3446-2021-9-80-85}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 9
\pages 69--72
\crossref{https://doi.org/10.3103/S1066369X21090085}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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