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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2021 Number 9, Pages 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

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.

UDC: 512.6

Received: 01.06.2021
Revised: 01.06.2021
Accepted: 29.06.2021

DOI: 10.26907/0021-3446-2021-9-80-85


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2021, 65:9, 69–72

© Steklov Math. Inst. of RAS, 2025