On convergence rates for iteratively regularized procedures with linear penalty terms

DOI10.1088/0266-5611/28/8/085005zbMath1257.65027OpenAlexW2012975739MaRDI QIDQ3168164

Alexandra B. Smirnova

Publication date: 29 October 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/28/8/085005

zbMATH Keywords

stabilityconvergencenumerical exampleHilbert spacenonlinear operator equationill-posed problemsa priori and a posteriori stopping rulespenalty termsregularized Gauss-Newton algorithmnonlinear integral equations of the first kind

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Singular nonlinear integral equations (45G05)

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