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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 428, Pages 166–181 (Mi znsl6059)  
This article is cited in 5 scientific papers (total in 5 papers)

Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices

L. Yu. Kolotilina

St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (202 kB) Citations (5)
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Abstract: Two-sided bounds on $|\det A|$ for Nekrasov and $S$-Nekrasov matriсes $A$ are obtained. It is shown that for Nekrasov matrices the new bounds improve the known bounds of Bailey and Crabtree. As to the $S$-Nekrasov matrices, introduced only recently, so far no bounds on their determinants have been suggested, as far as the author is aware.
Key words and phrases: determinant, two-sided bounds, Nekrasov matrices, $S$-Nekrasov matrices, strictly diagonally dominant matrices, $S$-SDD matrices.
Received: 15.09.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 207, Issue 5, Pages 776–785
DOI: https://doi.org/10.1007/s10958-015-2400-y
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices”, Computational methods and algorithms. Part XXVII, Zap. Nauchn. Sem. POMI, 428, POMI, St. Petersburg, 2014, 166–181; J. Math. Sci. (N. Y.), 207:5 (2015), 776–785
Citation in format AMSBIB
\Bibitem{Kol14}
\by L.~Yu.~Kolotilina
\paper Bounds for the determinants of Nekrasov and $S$-Nekrasov matrices
\inbook Computational methods and algorithms. Part~XXVII
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 428
\pages 166--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6059}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 207
\issue 5
\pages 776--785
\crossref{https://doi.org/10.1007/s10958-015-2400-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949624385}
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  • https://www.mathnet.ru/eng/znsl/v428/p166
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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