Please use this identifier to cite or link to this item:
Title: Local convergence for some third-order iterative methods under weak conditions
Authors: Argyros, I.K.
Cho, Y.J.
George, S.
Issue Date: 2016
Citation: Journal of the Korean Mathematical Society, 2016, Vol.53, 4, pp.781-793
Abstract: The solutions of equations are usually found using iterative methods whose convergence order is determined by Taylor expansions. In particular, the local convergence of the method we study in this paper is shown under hypotheses reaching the third derivative of the operator involved. These hypotheses limit the applicability of the method. In our study we show convergence of the method using only the first derivative. This way we expand the applicability of the method. Numerical examples show the applicability of our results in cases earlier results cannot. 2016 Korean Mathematical Society.
Appears in Collections:1. Journal Articles

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.