A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions
type: Item
instance of: scholarly article
title: A mesh independence principle for inexact Newton-like methods and their discretizations under generalized Lipschitz conditions
zbMATH Open document ID: 0908.65043
DOI: 10.1016/S0096-3003(96)00219-6
author: Ioannis Konstantinos Argyros
published in: Applied Mathematics and Computation
publication date: 1999-03-04T00:00:00Z
review text: The author continues his study on the validity of the mesh independence principle for the class of inexact Newton-like methods under more general conditions than those considered in some of his earlier papers.
reviewed by: Vasile Berinde
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1183179
zbMATH Keywords: inexact Newton-like method
zbMATH Keywords: mesh independence principle
MaRDI profile type: Publication
cites work: A Mesh-Independence Principle for Operator Equations and Their Discretizations
cites work: A mesh-independence principle for nonlinear operator equations and their discretizations under mild differentiability conditions
cites work: Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem
cites work: Q5332416
cites work: A unified approach for constructing fast two-step Newton-like methods
cites work: Results on Newton methods. I: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications
cites work: Some notions of nonstationary multistep iteration processes
cites work: Q3885134
cites work: Convergence domains of certain iterative methods for solving nonlinear equations
cites work: A Unified Convergence Theory for a Class of Iterative Processes
cites work: Sharp error bounds for Newton's process
cites work: On an iterative algorithm of order 1.839… for solving nonlinear operator equations∗)
cites work: The majorant method in the theory of newton-kantorovich approximations and the pták error estimates
full work available at URL: s0096-3003(96)00219-6
OpenAlex ID: W2041337963
description: scientific article; zbMATH DE number 1183179