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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 296, Pages 60–88 (Mi znsl1231)  
This article is cited in 10 scientific papers (total in 10 papers)

Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (270 kB) Citations (10)
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Abstract: The paper suggests two-sided, upper, and lower circuit bounds for the Perron root of a nonnegative matrix, most of which are derived based on an extension of the monotonicity property of the Perron root established by Fiedler and Pták.
Received: 17.04.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 127, Issue 3, Pages 1988–2005
DOI: https://doi.org/10.1007/s10958-005-0157-4
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities”, Computational methods and algorithms. Part XVI, Zap. Nauchn. Sem. POMI, 296, POMI, St. Petersburg, 2003, 60–88; J. Math. Sci. (N. Y.), 127:3 (2005), 1988–2005
Citation in format AMSBIB
\Bibitem{Kol03}
\by L.~Yu.~Kolotilina
\paper Bounds and inequalities for the Perron root of a~nonnegative matrix. II.~Circuit bounds and inequalities
\inbook Computational methods and algorithms. Part~XVI
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 296
\pages 60--88
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1997602}
\zmath{https://zbmath.org/?q=an:1081.15531}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 127
\issue 3
\pages 1988--2005
\crossref{https://doi.org/10.1007/s10958-005-0157-4}
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  • https://www.mathnet.ru/eng/znsl/v296/p60
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    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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