Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces
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Publication:3058426
DOI10.1080/00036810903517597zbMath1214.65031OpenAlexW1990022370WikidataQ58278595 ScholiaQ58278595MaRDI QIDQ3058426
Torsten Hein, Bernd Hofmann, Stefan Kindermann, Andreas Neubauer, Ulrich Tautenhahn
Publication date: 22 November 2010
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036810903517597
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
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- On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces
- Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion
- On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems
- Convergence rates of convex variational regularization
- Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems
- Error bounds for regularized solutions of nonlinear ill-posed problems
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- Error estimates for non-quadratic regularization and the relation to enhancement
- Regularization of ill-posed problems in Banach spaces: convergence rates
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