Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
type: Item
instance of: scholarly article
title: Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
zbMATH Open document ID: 1161.65041
DOI: 10.1515/JIIP.2008.025
author: Dirk A. Lorenz
published in: JIIP
publication date: 2008-10-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/0801.1774
Mathematics Subject Classification ID: 65J10
Mathematics Subject Classification ID: 47A52
Mathematics Subject Classification ID: 65J20
zbMATH DE Number: 5351191
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: sparsity constraints
zbMATH Keywords: convergence
zbMATH Keywords: source conditions
zbMATH Keywords: Bregman-Taylor distance
MaRDI profile type: Publication
arXiv ID: 0801.1774
cites work: A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
cites work: Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
cites work: Levenberg–Marquardt level set methods for inverse obstacle problems
cites work: Error estimation for Bregman iterations and inverse scale space methods in image restoration
cites work: An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
cites work: Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization
cites work: Recovery Algorithms for Vector-Valued Data with Joint Sparsity Constraints
cites work: A semismooth Newton method for Tikhonov functionals with sparsity constraints
cites work: A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
cites work: Tikhonov replacement functionals for iteratively solving nonlinear operator equations
cites work: A Tikhonov-based projection iteration for nonlinear ill-posed problems with sparsity con\-straints
cites work: Regularization of ill-posed problems in Banach spaces: convergence rates
cites work: Error estimates for non-quadratic regularization and the relation to enhancement
cites work: Nonlinear iterative methods for linear ill-posed problems in Banach spaces
cites work: Periodic solutions of a periodically perturbed Lotka-Volterra equation using the Poincaré-Birkhoff theorem
OpenAlex ID: W2082823585
description: scientific article