Adaptive strategy for the damping parameters in an iteratively regularized Gauss-Newton method
type: Item
instance of: scholarly article
title: Adaptive strategy for the damping parameters in an iteratively regularized Gauss-Newton method
zbMATH Open document ID: 0933.65062
DOI: 10.1023/A:1021773116353
author: Otmar Scherzer
author: Mårten Gulliksson
published in: Journal of Optimization Theory and Applications
publication date: 1999-09-13T00:00:00Z
review text: A convergence analysis of an adaptive choice of the sequence of damping parameters in the iteratively regularized Gauss-Newton method for solving nonlinear ill-posed operator equations is presented. The selection criterion is motivated from the damping parameter choice criteria, which are used for the efficient solution of nonlinear least square problems. The performance of this selection criterion is tested for the solution of nonlinear ill-posed model problems.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 65J20
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 1269602
zbMATH Keywords: nonlinear ill-posed problems
zbMATH Keywords: regularization method
zbMATH Keywords: Gauss-Newton method
zbMATH Keywords: discrepancy principle
zbMATH Keywords: damping parameter choice
zbMATH Keywords: nonlinear least square problems
zbMATH Keywords: performance
reviewed by: Robert Plato
MaRDI profile type: Publication
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cites work: Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems
cites work: A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
full work available at URL: a:1021773116353
OpenAlex ID: W1935847497
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description: scientific article; zbMATH DE number 1269602