Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative

Local Convergence of an Efficient High Convergence Order Method Using Hypothesis Only on the First Derivative

We present a local convergence analysis of an eighth order three step methodin order to approximate a locally unique solution of nonlinear equation in a Banach spacesetting. In an earlier study by Sharma and Arora (2015), the order of convergence wasshown using Taylor series expansions and hypothese...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Ramandeep Behl, S.S. Motsa
Format: Article
Language:English
Published: MDPI AG 2015-11-01
Series:Algorithms
Subjects:
Newton-like method
local convergence
efficiency index
optimum method
Online Access:http://www.mdpi.com/1999-4893/8/4/1076

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