Ball convergence theorem for inexact Newton methods in Banach space
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Date
2020
Authors
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Journal ISSN
Volume Title
Publisher
SINUS Association
Abstract
We present a local convergence analysis for inexact Newton methods 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. Numerical examples are also provided in this study. © 2020, SINUS Association. All rights reserved.
Description
Keywords
Banach space, Fréchet-derivative, High convergence order method, Local Convergence
Citation
Creative Mathematics and Informatics, 2020, 29, 2, pp. 113-120