Roots of the circular cylindrical shell characteristic equation
Milan Geryk (1972)
Aplikace matematiky
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Milan Geryk (1972)
Aplikace matematiky
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James Joseph Sylvester
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Argyros, I.K., Hilout, S. (2009)
Surveys in Mathematics and its Applications
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P. H. Diananda (1964)
Annales Polonici Mathematici
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Laszkiewicz, Beata, Ziȩtak, Krystyna (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Kostov, Vladimir (2003)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 12D10. We prove that all arrangements (consistent with the Rolle theorem and some other natural restrictions) of the real roots of a real polynomial and of its s-th derivative are realized by real polynomials.
Marek Kuczma, Halina Światak (1991)
Annales Polonici Mathematici
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Akritas, Alkiviadis, Strzeboński, Adam, Vigklas, Panagiotis (2008)
Serdica Journal of Computing
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In 2000 A. Alesina and M. Galuzzi presented Vincent’s theorem “from a modern point of view” along with two new bisection methods derived from it, B and C. Their profound understanding of Vincent’s theorem is responsible for simplicity — the characteristic property of these two methods. In this paper we compare the performance of these two new bisection methods — i.e. the time they take, as well as the number of intervals they examine in order to isolate the real roots of polynomials...