Generalized Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces

DOI10.1080/01630563.2015.1021422zbMath1378.65118arXiv1409.7610OpenAlexW2015891201MaRDI QIDQ5264012

Peter Elbau, Maarten V. de Hoop, Lingyun Qiu, Roman Andreev, Otmar Scherzer

Publication date: 20 July 2015

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

Full work available at URL: https://arxiv.org/abs/1409.7610

zbMATH Keywords

convergence ratesTikhonov regularization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical methods for inverse problems for integral equations (65R32) Inverse problems in optimal control (49N45) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items

Convergence analysis of inexact Newton–Landweber iteration under Hölder stability, Lavrentiev's regularization method in Hilbert spaces revisited, Optimal Convergence Rates Results for Linear Inverse Problems in Hilbert Spaces, On variational regularization: finite dimension and Hölder stability, Iteratively regularized Landweber iteration method: convergence analysis via Hölder stability, Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods, On convergence rates of adaptive ensemble Kalman inversion for linear ill-posed problems, Penalty-based smoothness conditions in convex variational regularization, Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space, Source Conditions for Non-Quadratic Tikhonov Regularization, Higher order convergence rates for Bregman iterated variational regularization of inverse problems, Data driven regularization by projection

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