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A note on Halley's method
Authors:Miguel A Hernández Verón
Institution:(1) Departamento de Matematica Aplicada, Universidad de Zaragoza, Colegio Universitario de La Rioja, C/Obispo Bustamante no 3, E-26001 Logroño, Spain
Abstract:Summary We introduce the degree of logarithmic convexity which provides a measure of the convexity of a function at each point. Making use of this concept we obtain a new theorem of global convergence for Halley's method.
Keywords:AMS(MOS): 65H05  CR: G1  5
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