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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 439, Pages 128–144 (Mi znsl6206)  
This article is cited in 1 scientific paper (total in 1 paper)

New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets

L. Yu. Kolotilina

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
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Abstract: The paper suggests generalizations of some known sufficient nonsingularity conditions for matrices with constant principal diagonal and the corresponding eigenvalue inclusion sets to the cases of arbitrary matrices and matrices with nonzero diagonal entries.
Key words and phrases: sufficient nonsingularity conditions, eigenvalue inclusion sets, Gerschgorin disks, ovals of Cassini, strict diagonal dominance, Ostrowski's theorem, Ostrowski–Brauer theorem.
Received: 13.10.2015
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 216, Issue 6, Pages 805–815
DOI: https://doi.org/10.1007/s10958-016-2946-3
Bibliographic databases:
Document Type: Article
UDC: 512.643
Language: Russian
Citation: L. Yu. Kolotilina, “New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets”, Computational methods and algorithms. Part XXVIII, Zap. Nauchn. Sem. POMI, 439, POMI, St. Petersburg, 2015, 128–144; J. Math. Sci. (N. Y.), 216:6 (2016), 805–815
Citation in format AMSBIB
\Bibitem{Kol15}
\by L.~Yu.~Kolotilina
\paper New nonsingularity conditions for general matrices and the associated eigenvalue inclusion sets
\inbook Computational methods and algorithms. Part~XXVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2015
\vol 439
\pages 128--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6206}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3502388}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 216
\issue 6
\pages 805--815
\crossref{https://doi.org/10.1007/s10958-016-2946-3}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84976277151}
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  • https://www.mathnet.ru/eng/znsl/v439/p128
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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