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Matematicheskie Zametki, 1973, Volume 13, Issue 1, Pages 3–12 (Mi mzm7097)  
This article is cited in 2 scientific papers (total in 2 papers)

The number of roots of a polynomial outside a circle

G. F. Korsakov

Kaliningrad State University
Full-text PDF (608 kB) Citations (2)
Abstract: We obtain a new criterion in terms of determinant inequalities that all the roots of a real polynomial should lie inside the unit circle, i.e., a criterion for the stability of periodic motions. In comparison with the Shur-Kon criterion, the number of determinants is halved.
Received: 29.01.1972
English version:
Mathematical Notes, 1973, Volume 13, Issue 1, Pages 3–8
DOI: https://doi.org/10.1007/BF01093620
Bibliographic databases:
UDC: 517
Language: Russian
Citation: G. F. Korsakov, “The number of roots of a polynomial outside a circle”, Mat. Zametki, 13:1 (1973), 3–12; Math. Notes, 13:1 (1973), 3–8
Citation in format AMSBIB
\Bibitem{Kor73}
\by G.~F.~Korsakov
\paper The number of roots of a~polynomial outside a~circle
\jour Mat. Zametki
\yr 1973
\vol 13
\issue 1
\pages 3--12
\mathnet{http://mi.mathnet.ru/mzm7097}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=324003}
\zmath{https://zbmath.org/?q=an:0264.30003|0252.30003}
\transl
\jour Math. Notes
\yr 1973
\vol 13
\issue 1
\pages 3--8
\crossref{https://doi.org/10.1007/BF01093620}
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  • https://www.mathnet.ru/eng/mzm/v13/i1/p3
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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