Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative

Local Convergence Analysis of an Eighth Order Scheme Using Hypothesis Only on the First Derivative

In this paper, we propose a local convergence analysis of an eighth order three-step method to approximate a locally unique solution of a nonlinear equation in a Banach space setting. Further, we also study the dynamic behaviour of that scheme. In an earlier study, Sharma and Arora (2015) did not di...

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Bibliographic Details
Main Authors: Ioannis K. Argyros, Ramandeep Behl, Sandile S. Motsa
Format: Article
Language:English
Published: MDPI AG 2016-09-01
Series:Algorithms
Subjects:
Kung-Traub method
local convergence
divided difference
Banach space
Lipschitz constant
radius of convergence
Online Access:http://www.mdpi.com/1999-4893/9/4/65

Internet

http://www.mdpi.com/1999-4893/9/4/65

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