Please use this identifier to cite or link to this item: https://idr.l2.nitk.ac.in/jspui/handle/123456789/14621
Title: Ball convergence theorem for a fifth-order method in banach spaces
Authors: Argyros I.K.
George S.
Issue Date: 2019
Citation: Understanding Banach Spaces , Vol. , , p. 115 - 124
Abstract: We present a local convergence analysis for a fifth-order method in order to approximate a solution of a nonlinear equation in a Banach space. Our sufficient convergence conditions involve only hypotheses on the first Fréchet-derivative of the operator involved. Earlier studies use hypotheses up to the fourth Fréchet-derivative [1]. Hence, the applicability of these methods is expanded under weaker hypotheses and less computational cost for the constants involved in the convergence analysis. Numerical examples are also provided in this study. © 2020 by Nova Science Publishers, Inc. All rights reserved.
URI: http://idr.nitk.ac.in/jspui/handle/123456789/14621
Appears in Collections:3. Book Chapters

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