Iterative regularization methods for nonlinear ill-posed problems

DOI10.1515/9783110208276zbMath1145.65037OpenAlexW1564864701MaRDI QIDQ927436

Otmar Scherzer, Andreas Neubauer, Barbara Kaltenbacher

Publication date: 6 June 2008

Published in: Radon Series on Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110208276

zbMATH Keywords

convergenceparameter estimationregularizationRadon transformnumerical experimentstextbookHilbert spacesdiscrepancy principlenonlinear ill-posed problemsmultilevel methodsNewton type methodsLandweber iterationFréchet-differentiable operatorlevel set methodsLevenberg-Marquardt methoditeratively regularized Gauss-Newton methoda priori and a posteriori stopping rules

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical solution to inverse problems in abstract spaces (65J22)

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