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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 463, Pages 5–12 (Mi znsl6502)  
This article is cited in 1 scientific paper (total in 1 paper)

Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix

Yu. A. Al'pina, V. S. Al'pinab

a Kazan (Volga Region) Federal University, Kazan, Russia
b Kazan National Research Technological University, Kazan, Russia
Full-text PDF (154 kB) Citations (1)
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Abstract: The notion of a temporal component of a semigroup of block-monomial nonnegative matrices is introduced. For such semigroups, a generalization of Mink's theorem on the structure of an irreducible matrix is proved.
Key words and phrases: irreducible nonnegative matrix, Frobenius form, semigroup of nonnegative matrices.
Received: 27.10.2017
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 232, Issue 6, Pages 747–751
DOI: https://doi.org/10.1007/s10958-018-3903-0
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, V. S. Al'pina, “Temporal components of a semigroup of nonnegative matrices. A generalization of Minc's theorem on the structure of an irreducible matrix”, Computational methods and algorithms. Part XXX, Zap. Nauchn. Sem. POMI, 463, POMI, St. Petersburg, 2017, 5–12; J. Math. Sci. (N. Y.), 232:6 (2018), 747–751
Citation in format AMSBIB
\Bibitem{AlpAlp17}
\by Yu.~A.~Al'pin, V.~S.~Al'pina
\paper Temporal components of a~semigroup of nonnegative matrices. A~generalization of Minc's theorem on the structure of an irreducible matrix
\inbook Computational methods and algorithms. Part~XXX
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 463
\pages 5--12
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6502}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 232
\issue 6
\pages 747--751
\crossref{https://doi.org/10.1007/s10958-018-3903-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85048972780}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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