On the role of sparsity in inverse problems

DOI10.1515/JIIP.2009.007zbMath1159.65052OpenAlexW1983097495MaRDI QIDQ3612231

Dirk A. Lorenz

Publication date: 3 March 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2009.007

zbMATH Keywords

convergenceerror estimatesregularizationnumerical experimentslinear inverse problemssparsity constraintsgradient projection methodsemismooth Newton method

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

• Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
• An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

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