Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces

DOI10.1515/jip-2013-0002zbMath1288.47016arXiv1107.2471OpenAlexW2964346455MaRDI QIDQ2848401

Markus Grasmair

Publication date: 26 September 2013

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2471

zbMATH Keywords

convergence ratesvariational inequalitiesTikhonov regularizationBregman distanceduality mappings

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Related Items (9)

A converse result for Banach space convergence rates in Tikhonov-type convex regularization of ill-posed linear equations ⋮ Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods ⋮ Variational regularization in inverse problems and machine learning ⋮ Source Conditions for Non-Quadratic Tikhonov Regularization ⋮ Higher order convergence rates for Bregman iterated variational regularization of inverse problems ⋮ Choice of the parameters in a primal-dual algorithm for Bregman iterated variational regularization ⋮ Existence of variational source conditions for nonlinear inverse problems in Banach spaces ⋮ Regularization Methods for Ill-Posed Problems ⋮ Modern regularization methods for inverse problems

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