An overview on convergence rates for Tikhonov regularization methods for non-linear operators

DOI10.1515/JIIP.2009.009zbMath1159.65057MaRDI QIDQ3612232

Christiane Pöschl

Publication date: 3 March 2009

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

zbMATH Keywords

convergence ratesBanach spacesinverse problemsTikhonov regularizationnonlinear operator equationssource condition

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)

Cites Work

• Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
• Convergence rates of convex variational regularization
• 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

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