A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order

A class of three-step eighth-order root solvers is constructed in this study. Our aim is fulfilled by using an interpolatory rational function in the third step of a three-step cycle. Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning mult...

Full description

Bibliographic Details
Main Authors: F. Soleymani, S. Karimi Vanani, M. Jamali Paghaleh
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/568740