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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 323, Pages 57–68 (Mi znsl381)  
This article is cited in 10 scientific papers (total in 10 papers)

Bounds for the singular values of a matrix involving its sparsity pattern

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (203 kB) Citations (10)
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Abstract: The paper presents new upper and lower bounds for the singular values of a rectangular matrix explicitly involving the matrix sparsity pattern. These bounds are based on an upper bound for the Perron root of a nonnegative matrix and on the sparsity-dependent version of the Ostrowski–Brauer theorem on eigenvalue inclusion regions.
Received: 09.02.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 137, Issue 3, Pages 4794–4800
DOI: https://doi.org/10.1007/s10958-006-0278-4
Bibliographic databases:
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds for the singular values of a matrix involving its sparsity pattern”, Computational methods and algorithms. Part XVIII, Zap. Nauchn. Sem. POMI, 323, POMI, St. Petersburg, 2005, 57–68; J. Math. Sci. (N. Y.), 137:3 (2006), 4794–4800
Citation in format AMSBIB
\Bibitem{Kol05}
\by L.~Yu.~Kolotilina
\paper Bounds for the singular values of a~matrix involving its sparsity pattern
\inbook Computational methods and algorithms. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 323
\pages 57--68
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl381}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2160309}
\zmath{https://zbmath.org/?q=an:1081.15529}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 137
\issue 3
\pages 4794--4800
\crossref{https://doi.org/10.1007/s10958-006-0278-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746840580}
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  • https://www.mathnet.ru/eng/znsl/v323/p57
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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