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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 284, Pages 77–122 (Mi znsl1539)  
This article is cited in 28 scientific papers (total in 28 papers)

Bounds and inequalities 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 (338 kB) Citations (28)
Abstract: In this paper, bounds and inequalities for the Perron roots of a nonnegative matrix, extending and complementing the classical theorems of Frobenius and Ostrowski in terms of (deleted) row and column sums, are presented. All the results are derived by using the same approach, based on the monotoncity property of the Perron root.
Received: 20.02.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 4, Pages 2481–2507
DOI: https://doi.org/10.1023/B:JOTH.0000026286.68173.f4
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds and inequalities for the Perron root of a nonnegative matrix”, Computational methods and algorithms. Part XV, Zap. Nauchn. Sem. POMI, 284, POMI, St. Petersburg, 2002, 77–122; J. Math. Sci. (N. Y.), 121:4 (2004), 2481–2507
Citation in format AMSBIB
\Bibitem{Kol02}
\by L.~Yu.~Kolotilina
\paper Bounds and inequalities for the Perron root of a nonnegative matrix
\inbook Computational methods and algorithms. Part~XV
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 284
\pages 77--122
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1539}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1915077}
\zmath{https://zbmath.org/?q=an:1071.15020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 4
\pages 2481--2507
\crossref{https://doi.org/10.1023/B:JOTH.0000026286.68173.f4}
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  • https://www.mathnet.ru/eng/znsl/v284/p77
    Cycle of papers
    This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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