Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term

DOI10.1553/etna_vol53s313OpenAlexW3011282473MaRDI QIDQ1988496

Robert Plato, Bernd Hofmann

Publication date: 23 April 2020

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.00669

zbMATH Keywords

inverse problemTikhonov regularizationdiscrepancy principleill-posed problema priori parameter choice strategylogarithmic source conditionoversmoothing penalty

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) 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)

Related Items (6)

Estimating Solution Smoothness and Data Noise with Tikhonov Regularization ⋮ Analysis of the discrepancy principle for Tikhonov regularization with oversmoothing penalty term under low order source conditions ⋮ Maximal spaces for approximation rates in \(\ell^1\)-regularization ⋮ Variational Source Conditions in $L^p$-spaces ⋮ Convergence rates for oversmoothing Banach space regularization ⋮ Oversmoothing Tikhonov regularization in Banach spaces ^*

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