A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation

We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. The special cases of this class are obtained. These methods do not need Newton’s iterate in the …first step of their iterative schemes. Numerical computation...

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Bibliographic Details
Main Authors: Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2015/934260