Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

DOI10.1080/01630563.2016.1144070zbMath1352.65146arXiv1511.02950OpenAlexW2258431676WikidataQ41862484 ScholiaQ41862484MaRDI QIDQ3188438

Peter Elbau, Maarten V. de Hoop, Vinicius V. L. Albani, Otmar Scherzer

Publication date: 19 August 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02950

zbMATH Keywords

convergence ratesregularizationlinear inverse problemsvariational source conditionsapproximative source conditions

Mathematics Subject Classification ID

Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Inverse problems in optimal control (49N45)

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Cites Work

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• Sharp converse results for the regularization error using distance functions
• Analysis of Profile Functions for General Linear Regularization Methods
• On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems
• Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces
• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators