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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 346, Pages 103–118 (Mi znsl90)  
This article is cited in 12 scientific papers (total in 12 papers)

Improving Chistyakov's 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
Full-text PDF (211 kB) Citations (12)
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Abstract: The paper presents new two-sided bounds for the Perron root of a block-partitioned nonnegative matrix, improving Chistyakov's bounds. The equality cases are analyzed. As an application, new conditions sufficient for a complex matrix to be a nonsingular $H$-matrix are obtained.
Received: 19.11.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 2, Pages 1973–1981
DOI: https://doi.org/10.1007/s10958-008-0112-2
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Improving Chistyakov's bounds for the Perron root of a nonnegative matrix”, Computational methods and algorithms. Part XX, Zap. Nauchn. Sem. POMI, 346, POMI, St. Petersburg, 2007, 103–118; J. Math. Sci. (N. Y.), 150:2 (2008), 1973–1981
Citation in format AMSBIB
\Bibitem{Kol07}
\by L.~Yu.~Kolotilina
\paper Improving Chistyakov's bounds for
the Perron root of a nonnegative matrix
\inbook Computational methods and algorithms. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 346
\pages 103--118
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl90}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2469443}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 150
\issue 2
\pages 1973--1981
\crossref{https://doi.org/10.1007/s10958-008-0112-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41149103494}
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  • https://www.mathnet.ru/eng/znsl/v346/p103
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    This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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