Combinatorial structure of a semigroup of bistochastic matrices
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 80-85

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The Frobenius form of an irreducible bistochastic matrix is clarified. A generalization of the Frobenius form for irreducible semigroups of bistochastic matrices is described.
Mots-clés : nonnegative matrix
Keywords: semigroup, Frobenius theorem.
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     author = {Yu. A. Al'pin and V. G. Tregubov},
     title = {Combinatorial structure of a semigroup of bistochastic matrices},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     number = {9},
     year = {2021},
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Yu. A. Al'pin; V. G. Tregubov. Combinatorial structure of a semigroup of bistochastic matrices. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2021), pp. 80-85. http://geodesic.mathdoc.fr/item/IVM_2021_9_a7/