Tikhonov and Landweber convergence rates: characterization by interpolation spaces

DOI10.1088/0266-5611/31/10/105007zbMath1342.65135arXiv1503.05742OpenAlexW3103646771MaRDI QIDQ3454707

Roman Andreev

Publication date: 26 November 2015

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

Full work available at URL: https://arxiv.org/abs/1503.05742

zbMATH Keywords

convergenceregularizationHilbert spaceTikhonov regularizationinterpolation spaceill-posed problemlinear operator equationLandweber iterationdistance functioniterated Tikhonov regularizationvariational source condition\( K \)-functional

Mathematics Subject Classification ID

Interpolation between normed linear spaces (46B70) Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

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Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods

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