Please use this identifier to cite or link to this item: https://idr.l1.nitk.ac.in/jspui/handle/123456789/10036
Title: Ball convergence for a Newton-steffensen-type third-order method
Authors: Argyros, I.K.
George, S.
Issue Date: 2015
Citation: Advances in Nonlinear Variational Inequalities, 2015, Vol.18, 1, pp.37-45
Abstract: We present a local convergence analysis for a composite Newton-Steffensen-type third-order methods in order to approximate a solution of a nonlinear equation. We use hypotheses up to the first derivative in contrast to earlier studies such as [1], [5]-[28] using hypotheses up to the second derivative. This way the applicability of these methods is extended under weaker hypotheses. Moreover the radius of convergence and computable error bounds on the distances involved are also given in this study. Numerical examples are also presented in this study.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10036
Appears in Collections:1. Journal Articles

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