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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 405, Pages 13–23 (Mi znsl5274)  
This article is cited in 13 scientific papers (total in 13 papers)

Combinatorial properties of irreducible semigroups of nonnegative matrices

Yu. A. Al'pina, V. S. Al'pinab

a Kazan Federal University, Kazan, Russia
b Kazan State Technological University, Kazan, Russia
Full-text PDF (210 kB) Citations (13)
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Abstract: The paper suggests a combinatorial proof of the Protasov–Voynov theorem on an irreducible semigroup of nonnegative matrices free of positive matrices. This solves the problem posed by the authors of the theorem.
Key words and phrases: nonnegative matrices, irreducible semigroups, Frobenius form.
Received: 25.10.2012
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 191, Issue 1, Pages 4–9
DOI: https://doi.org/10.1007/s10958-013-1295-8
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, V. S. Al'pina, “Combinatorial properties of irreducible semigroups of nonnegative matrices”, Computational methods and algorithms. Part XXV, Zap. Nauchn. Sem. POMI, 405, POMI, St. Petersburg, 2012, 13–23; J. Math. Sci. (N. Y.), 191:1 (2013), 4–9
Citation in format AMSBIB
\Bibitem{AlpAlp12}
\by Yu.~A.~Al'pin, V.~S.~Al'pina
\paper Combinatorial properties of irreducible semigroups of nonnegative matrices
\inbook Computational methods and algorithms. Part~XXV
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 405
\pages 13--23
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3029608}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 191
\issue 1
\pages 4--9
\crossref{https://doi.org/10.1007/s10958-013-1295-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884976751}
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  • https://www.mathnet.ru/eng/znsl/v405/p13
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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