A new Newton-Landweber iteration for nonlinear inverse problems
type: Item
instance of: scholarly article
title: A new Newton-Landweber iteration for nonlinear inverse problems
zbMATH Open document ID: 1231.65106
author: Cui'e Xiao
author: Youjun Deng
published in: Journal of Applied Mathematics and Computing
publication date: 2011-06-22T00:00:00Z
review text: The authors propose a new iteration method for solving nonlinear inverse problems where the linearized problem in each Newton step is solved by Landweber iteration. They present a convergence analysis for exact and noisy data, including results on the rate of convergence that require certain restrictions on the nonlinearity and a stopping rule for the iteration. Some numerical examples are also discussed.
reviewed by: Johannes Elschner
Mathematics Subject Classification ID: 65J22
Mathematics Subject Classification ID: 47J06
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 5911519
zbMATH Keywords: Newton-Landweber iteration
zbMATH Keywords: nonlinear inverse problem
zbMATH Keywords: convergence analysis
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s12190-010-0415-6
OpenAlex ID: W1971148784
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DOI: 10.1007/S12190-010-0415-6
description: scientific article; zbMATH DE number 5911519