On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces

DOI10.1088/0266-5611/25/6/065009zbMath1176.65071OpenAlexW2017045677MaRDI QIDQ3634654

Andreas Neubauer

Publication date: 25 June 2009

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

Full work available at URL: https://doi.org/10.1088/0266-5611/25/6/065009

zbMATH Keywords

convergenceBanach spacesduality mappingTikhonov regularizationnonlinear ill-posed problemsBregman distance

Mathematics Subject Classification ID

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

Related Items (8)

Convergence rate analysis of the coefficient identification problems in a Kuramoto–Sivashinsky equation ⋮ Sparsity regularization of the diffusion coefficient identification problem: well-posedness and convergence rates ⋮ Modified Tikhonov regularization for nonlinear ill-posed problems in Banach spaces ⋮ An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems ⋮ A New Approach to Source Conditions in Regularization with General Residual Term ⋮ On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems ⋮ Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces ⋮ Necessary and sufficient conditions for linear convergence of ℓ1-regularization

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