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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 111–120 (Mi znsl5740)  
This article is cited in 32 scientific papers (total in 32 papers)

On bounding inverses to Nekrasov matrices in the infinity norm

L. Yu. Kolotilina

St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia
Full-text PDF (218 kB) Citations (32)
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Abstract: A new upper bound on the infinity norm of the inverse to a Nekrasov matrix, improving two recent bounds by L. Cvetković et al. [L. Cvetković, P.-F. Dai, K. Doroslovac̆ki, and Y.-T. Li, Infinity norm bounds for the inverse of Nekrasov matrices, Appl. Math. Comput., 219, 5020–5024 (2013)], is obtained. Also it is shown that for a strictly diagonally dominant matrix, the bound suggested improves the classical Varah upper bound.
Key words and phrases: Nekrasov matrix, inverse matrix, infinity norm, upper bound, Varah's bound.
Received: 11.02.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 432–437
DOI: https://doi.org/10.1007/s10958-014-1870-7
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “On bounding inverses to Nekrasov matrices in the infinity norm”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 111–120; J. Math. Sci. (N. Y.), 199:4 (2014), 432–437
Citation in format AMSBIB
\Bibitem{Kol13}
\by L.~Yu.~Kolotilina
\paper On bounding inverses to Nekrasov matrices in the infinity norm
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 111--120
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5740}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 432--437
\crossref{https://doi.org/10.1007/s10958-014-1870-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902332167}
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    • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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