Ball convergence of the Newton-Gauss method in Banach space
type: Item
instance of: scholarly article
title: Ball convergence of the Newton-Gauss method in Banach space
zbMATH Open document ID: 1381.65040
author: Ioannis Konstantinos Argyros
author: Janak Raj Sharma
author: Deepak Kumar
published in: S\(\vec{\text{e}}\)MA Journal
publication date: 2018-01-12T00:00:00Z
review text: This paper is about the convergence of a fifth-order Newton method for solving nonlinear equations, based on the conditions on the first dervative. Some examples are given to illustrate the theory.
reviewed by: Bangti Jin
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 6825222
zbMATH Keywords: Newton-Gauss method
zbMATH Keywords: local convergence
zbMATH Keywords: Banach space
zbMATH Keywords: Fréchet-derivative
zbMATH Keywords: generalized Lipschitz-Hölder-type conditions
zbMATH Keywords: nonlinear operator equation
MaRDI profile type: Publication
full work available at URL: s40324-016-0091-z
OpenAlex ID: W2522310795
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DOI: 10.1007/S40324-016-0091-Z
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description: scientific article; zbMATH DE number 6825222