Please use this identifier to cite or link to this item:
Title: On the "terra incognita" for the newton-kantrovich method with applications
Authors: Argyros, I.K.
Cho, Y.J.
George, S.
Issue Date: 2014
Citation: Journal of the Korean Mathematical Society, 2014, Vol.51, 2, pp.251-266
Abstract: In this paper, we use Newton's method to approximate a locally unique solution of an equation in Banach spaces and introduce recurrent functions to provide a weaker semilocal convergence analysis for Newton's method than before [1]-[13], in some interesting cases, provided that the Fr chet-derivative of the operator involved is p-H lder continuous (p ?(0, 1]). Numerical examples involving two boundary value problems are also provided. 2014 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.