Some Iterative Methods Free from Derivatives and Their Basins of Attraction for Nonlinear Equations

First, we make the Jain's derivative-free method optimal and subsequently increase its efficiency index from 1.442 to 1.587. Then, a novel three-step computational family of iterative schemes for solving single variable nonlinear equations is given. The schemes are free from derivative calculat...

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Bibliographic Details
Main Authors: Farahnaz Soleimani, Fazlollah Soleymani, Stanford Shateyi
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/301718