On the Landweber iteration for nonlinear ill-posed problems

Journal of Inverse and Ill-Posed Problems

Volumn 4, Issue 5, 1996, Pages 381-390

  Binder, A ^a   Scherzer, O ^a   Hanke, M ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004870127     PISSN: 09280219     EISSN: None     Source Type: Journal    
DOI: 10.1515/jiip.1996.4.5.381     Document Type: Article

References (11)

1. H.T. Banks and K. Kunisch, Estimation Techniques for Distributed Parameter Systems. Birkhäuser, Basel, 1989.
2. F. Colonius and K. Kunisch, Stability for parameter estimation in two point boundary value problems. J. Reine Angewandte Math. (1986) 370, 1–29.
3. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory. SpringerVerlag, New York, 1992.
4. H.W. Engl, K. Kunisch and A. Neubauer, Convergence rates for Tikhonov regularization of nonlinear ill-posed problems. Inverse Problems (1989) 5, 523–540.
5. H.W. Engl, Regularization methods for the stable solution of inverse problems. Surveys Math. Indust. (1993) 3, 71–143.
6. M. Hanke, Accelerated Landweber iterations for the solution of ill-posed problems. Numer. Math. (1991) 60, 341–373.
7. M. Hanke, A. Neubauer and O. Scherzer, A convergence analysis of Landweber iteration for nonlinear ill-posed problems. Numer. Math. (to appear).
8. B. Hofmann, On the degree of ill-posedness for nonlinear problems. Preprint, 1993.
9. V. Isakov, Inverse Source Problems. Amer. Math. Soc., Providence, Rhode Island, 1990.
10. A. Tikhonov and V. Arsenin, Solution of III-Posed Problems. Wiley, New York, 1977.
11. G.M. Vainikko, Error estimates of the successive approximation method for ill-posed problems. Automat. Remote Control (1980) 40, 356–363.