Local convergence for an eighth order method for solving equations and systems of equations

The aim of this study is to extend the applicability of an eighth convergence order method from the k−dimensional Euclidean space to a Banach space setting. We use hypotheses only on the first derivative to show the local convergence of the method. Earlier studies use hypotheses up to the eighth der...

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Bibliographic Details
Main Authors: Argyros Ioannis K., George Santhosh
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
Online Access:https://doi.org/10.1515/nleng-2017-0105