Concerning the convergence of inexact Newton methods
type: Item
instance of: scholarly article
title: Concerning the convergence of inexact Newton methods
zbMATH Open document ID: 0881.65048
DOI: 10.1016/S0377-0427(96)00162-8
author: Ioannis Konstantinos Argyros
published in: Journal of Computational and Applied Mathematics
publication date: 1998-01-13T00:00:00Z
review text: An inexact Newton method of the form \[ x_{n+1}=x_n+F'(x_n)^{*}[-F(x_n)+Q(x_n))]-z_n,\quad z_0=0\;(n\geq 0) \] is considered to approximate the solution \(x^{*}\) of a nonlinear operator equation of the form \[ F(x)+Q(x)=0, \] where \(Q\) is a nondifferentiable and \(F\) is a differentiable operator. The usefulness of this method is also illustrated by applying it to solve problems that cannot be solved with existing methods.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1022221
zbMATH Keywords: convergence
zbMATH Keywords: inexact Newton method
zbMATH Keywords: nonlinear operator equation
reviewed by: Vasile Berinde
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1022221