Modified Tikhonov regularization for nonlinear ill-posed problems in Banach spaces

DOI10.1216/JIE-2010-22-2-341zbMath1204.65061OpenAlexW2000769010MaRDI QIDQ610953

Andreas Neubauer

Publication date: 13 December 2010

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jie-2010-22-2-341

zbMATH Keywords

convergenceBanach spacesTikhonov regularizationnonlinear ill-posed problemsBregman distance

Mathematics Subject Classification ID

Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

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Cites Work

• Convergence rates for regularization with sparsity constraints
• Minimization of Tikhonov functionals in Banach spaces
• Variational methods in imaging
• Sparse regularization with l ^q penalty term
• Tikhonov regularization in Banach spaces—improved convergence rates results
• On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces
• An Introduction to Banach Space Theory
• Tikhonov regularization of nonlinear III-posed problems in hilbert scales
• Error estimates for non-quadratic regularization and the relation to enhancement
• Adaptive Optimization of Convex Functionals in Banach Spaces
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