Computing the real roots of a polynomial by the exclusion algorithm |
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Authors: | Jean-Pierre Dedieu Jean-Claude Yakoubsohn |
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Affiliation: | (1) Laboratoire d'Analyse Numérique, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France |
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Abstract: | We describe a new algorithm for localizing the real roots of a polynomialP(x). This algorithm determines intervals on whichP(x) does not possess any root. The remainder set contains the real roots ofP(x) and can be arbitrarily small. |
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Keywords: | Exclusion polynomial, root |
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