Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/10037
Title: Ball Convergence for an Inverse Free Jarratt-Type Method Under H lder Conditions
Authors: Argyros, I.K.
George, S.
Issue Date: 2017
Citation: International Journal of Applied and Computational Mathematics, 2017, Vol.3, 1, pp.157-164
Abstract: We present a local convergence analysis of an inverse free Jarratt-type method in order to approximate a locally unique solution of an equation in a Banach space setting. Earlier studies have used hypotheses up to the third Fr chet-derivative of the operator involved to show convergence although only the first derivative is used in the method. We show convergence using only the first Fr chet derivative under H lder conditions. This way we expand the applicability of the method. Numerical examples are also provided in this study. 2015, Springer India Pvt. Ltd.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/10037
Appears in Collections:1. Journal Articles

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