Regarding the accuracy of optimal eighth-order methods
نویسندگان
چکیده
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In this paper, based on Ostrowski’s method, a new family of eighth-order methods for solving nonlinear equations is derived. In terms of computational cost, each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices are 1.682, which is optimal according to Kung and Traub’s conjecture. Numerical comparis...
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Keywords: Iterative methods Order of convergence Basin of attraction Extraneous fixed points Weight functions a b s t r a c t In this paper we analyze an optimal eighth-order family of methods based on Mahesh-wari's fourth order method. This family of methods uses a weight function. We analyze the family using the information on the extraneous fixed points. Two measures of closeness of an extra...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2011
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2010.12.032