Approximating the zeros of analytic functions by the exclusion algorithm |
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Authors: | Jean-Claude Yakoubsohn |
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Institution: | (1) Laboratoire d'Analyse Numérique, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France |
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Abstract: | We give a practical version of the exclusion algorithm for localizing the zeros of an analytic function and in particular of a polynomial in a compact of . We extend the real exclusion algorithm to a Jordan curve and give a method which excludes discs without any zero. The result of this algorithm is a set of discs arbitrarily small which contains the zeros of the analytic function. |
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Keywords: | Exclusion analytic function polynomial path zeros |
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