Accuracy estimates of Gauss-Newton-type iterative regularization methods for nonlinear equations with operators having normally solvable derivative at the solution

DOI10.1515/JIIP-2016-0009zbMath1350.65052OpenAlexW2324037093MaRDI QIDQ318180

Mohammad Hasan, M. Dambrine

Publication date: 4 October 2016

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2016-0009

zbMATH Keywords

Hilbert spacenonlinear operator equationiterative regularizationstopping ruleaccuracy estimateGauss-Newton-type methodsill-posed equationsirregular operatornormally solvable operator

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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• ON APPLICATION OF GENERALIZED DISCREPANCY PRINCIPLE TO ITERATIVE METHODS FOR NONLINEAR ILL-POSED PROBLEMS
• Linear estimates of accuracy for approximate solutions of inverse problems

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