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...