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

Journal of Inverse and Ill-Posed Problems

Volumn 17, Issue 1, 2009, Pages 77-83

  Poschl C ^a  

^a UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

Convergence rates; Inverse problems in Banach spaces; Source condition

Indexed keywords

EID: 59449106932     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/JIIP.2009.009     Document Type: Article

References (6)

1. M. Burger and S. Osher, Convergence rates of convex variational regularization. Inverse Problems 20 (2004), 1411-1421.
2. H.W. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems. Kluwer Academic Publishers, Dordrecht, 1996.
3. H.W. Engl, K. Kunisch, and A. Neubauer, Convergence rates for Tikhonov regularization of nonlinear ill-posed problems. Inverse Problems 5 (1989), 523-540.
4. B. Hofmann, B. Kaltenbacher, C. Pöschl, and O. Scherzer, A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators. Inverse Problems 23 (2007), 987-1010. (Pubitemid 46838837)
5. V. A. Morozov, Methods for Solving Incorrectly Posed Problems. Springer Verlag, New York - Berlin - Heidelberg, 1984.
6. E. Resmerita and O. Scherzer, Error estimates for non-quadratic regularization and the relation to enhancing. Inverse Problems 22 (2006), 801-814. (Pubitemid 43821177)