Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zapiski Nauchnykh Seminarov POMI, 2018, Volume 472, Pages 17–30 (Mi znsl6637)  
Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices

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 (181 kB)
References:
PDF
HTML
Abstract: It is proved that the index of imprimitivity of a semigroup of nonnegative block-monominal matrices free of zero rows decomposes into a sum of the indices of imprimitivity of its temporal components, and if the semigroup is block irreducible, then the indices of imprimitivity of all the temporal components are equal.
Key words and phrases: irreducible nonnegative matrix, Frobenius form, imprimitivity index.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.12878.2018/12.1
Received: 22.10.2018
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, V. S. Al'pina, “Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices”, Computational methods and algorithms. Part XXXI, Zap. Nauchn. Sem. POMI, 472, POMI, St. Petersburg, 2018, 17–30
Citation in format AMSBIB
\Bibitem{AlpAlp18}
\by Yu.~A.~Al'pin, V.~S.~Al'pina
\paper Indices of imprimitivity of the temporal components of a semigroup of nonnegative matrices
\inbook Computational methods and algorithms. Part~XXXI
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 472
\pages 17--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6637}
Linking options:
  • https://www.mathnet.ru/eng/znsl6637
  • https://www.mathnet.ru/eng/znsl/v472/p17
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:234
    Full-text PDF :82
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024