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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 395, Pages 86–103 (Mi znsl4643)  
This article is cited in 1 scientific paper (total in 1 paper)

New circuit bounds for the Perron root of a nonnegative matrix

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The paper suggests new two-sided bounds for the Perron root of a weakly irreducible nonnegative matrix, which depend on the circuits of length no less than two in the associated directed graph and, in some cases, improve Al'pin's bounds, suggested in 1995. Two approaches to deriving circuit bounds are considered.
Key words and phrases: nonnegative matrix, Perron root, two-sided bounds, circuit bounds.
Received: 10.10.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 6, Pages 793–802
DOI: https://doi.org/10.1007/s10958-012-0787-2
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “New circuit bounds for the Perron root of a nonnegative matrix”, Computational methods and algorithms. Part XXIV, Zap. Nauchn. Sem. POMI, 395, POMI, St. Petersburg, 2011, 86–103; J. Math. Sci. (N. Y.), 182:6 (2012), 793–802
Citation in format AMSBIB
\Bibitem{Kol11}
\by L.~Yu.~Kolotilina
\paper New circuit bounds for the Perron root of a~nonnegative matrix
\inbook Computational methods and algorithms. Part~XXIV
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 395
\pages 86--103
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4643}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870164}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 6
\pages 793--802
\crossref{https://doi.org/10.1007/s10958-012-0787-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84861783102}
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  • https://www.mathnet.ru/eng/znsl/v395/p86
    • 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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