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Matematicheskie Zametki, 2019, Volume 105, Issue 6, Pages 807–815
DOI: https://doi.org/10.4213/mzm11929 (Mi mzm11929) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A New Proof of the Protasov–Voynov Theorem on Semigroups of Nonnegative Matrices

Yu. A. Alpina, V. S. Al'pinab

a Kazan (Volga Region) Federal University
b Kazan National Research Technological University
Full-text PDF (454 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11929
Abstract: A new combinatorial proof of the Protasov–Voynov theorem on the structure of irreducible semigroups of nonnegative matrices is proposed. The original proof was obtained by geometric methods.
Keywords: irreducible nonnegative matrix, Frobenius form, semigroup of nonnegative matrices.
Received: 16.01.2018
Revised: 17.05.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 6, Pages 805–811
DOI: https://doi.org/10.1134/S0001434619050183
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Alpin, V. S. Al'pina, “A New Proof of the Protasov–Voynov Theorem on Semigroups of Nonnegative Matrices”, Mat. Zametki, 105:6 (2019), 807–815; Math. Notes, 105:6 (2019), 805–811
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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