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Displaying similar documents to “Some parallel procedures for computing the eigenvalues of a real symmetric matrix.”

On Arrangements of Real Roots of a Real Polynomial and Its Derivatives

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.

On the Various Bisection Methods Derived from Vincent’s Theorem

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...