On the Local Convergence of an Eighth-order Method for Solving Nonlinear Equations

We present a local convergence analysis of an eighth-order method for approximating a locally unique solution of a non-linear equation. Earlier studies such as have shown convergence of these methods under hypotheses up to the seventh derivative of the function although only the first derivative app...

Full description

Bibliographic Details
Main Authors: Argyros Ioannis K., Kansal Munish, Kanwar V.
Format: Article
Language:English
Published: Sciendo 2016-07-01
Series:Annals of the West University of Timisoara: Mathematics and Computer Science
Subjects:
Online Access:https://doi.org/10.1515/awutm-2016-0001