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Volumn 15, Issue 4, 1999, Pages 1087-1098

A convergence analysis for Tikhonov regularization of nonlinear ill-posed problems

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[No Author keywords available]

Indexed keywords

EID: 0001290805 PISSN: 02665611 EISSN: None Source Type: Journal
DOI: 10.1088/0266-5611/15/4/316 Document Type: Article

Times cited : (11)

References (13)

1
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- On the Landweber iteration for nonlinear ill-posed problems
- Binder A, Hanke M and Scherzer O 1996 On the Landweber iteration for nonlinear ill-posed problems J. Inv. Ill-Posed Problems 4 381-9
- (1996) J. Inv. Ill-Posed Problems , vol.4 , pp. 381-389
- Binder, A.¹ Hanke, M.² Scherzer, O.³

2
- 36149030945
- Convergence rates for Tikhonov regularization of nonlinear ill-posed problems
- Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 5 523-40
- (1989) Inverse Problems , vol.5 , pp. 523-540
- Engl, H.W.¹ Kunisch, K.² Neubauer, A.³

3
- 0003531188
- Dordrecht: Kluwer
- Engl H W, Hanke M and Neubauer A 1996 Regularization of Inverse Problems (Dordrecht: Kluwer)
- (1996) Regularization of Inverse Problems
- Engl, H.W.¹ Hanke, M.² Neubauer, A.³

4
- 0001646951
- On autoconvolution and regularization
- Gorenflo R and Hofmann B 1994 On autoconvolution and regularization Inverse Problems 10 353-73
- (1994) Inverse Problems , vol.10 , pp. 353-373
- Gorenflo, R.¹ Hofmann, B.²

5
- 0003689754
- Wiesbaden: Vieweg
- Groetsch C W 1993 Inverse Problems in the Mathematical Sciences (Wiesbaden: Vieweg)
- (1993) Inverse Problems in the Mathematical Sciences
- Groetsch, C.W.¹

6
- 0001539103
- On the injectivity and linearization of the coefficient-to-solulion mapping for elliptic boundary value problems
- Ito K and Kunisch K 1994 On the injectivity and linearization of the coefficient-to-solulion mapping for elliptic boundary value problems J. Math. Anal. Appl. 188 1040-66
- (1994) J. Math. Anal. Appl. , vol.188 , pp. 1040-1066
- Ito, K.¹ Kunisch, K.²

7
- 0007142460
- Applications of the modified discrepancy principle to Tikhonov regularization of nonlinear ill-posed problems
- Jin Qi-nian 1999 Applications of the modified discrepancy principle to Tikhonov regularization of nonlinear ill-posed problems SIAM J. Numer. Anal. 36 (2)
- (1999) SIAM J. Numer. Anal. , vol.36 , Issue.2
- Qi-nian, J.¹

10
- 0001425652
- Tikhonov regularization for nonlinear ill-posed problems: Optimal convergence rates and finite-dimensional approximation
- Neubauer A 1989 Tikhonov regularization for nonlinear ill-posed problems: optimal convergence rates and finite-dimensional approximation Inverse Problems 5 541-57
- (1989) Inverse Problems , vol.5 , pp. 541-557
- Neubauer, A.¹

11
- 0013178794
- A parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems leading to optimal convergence rates
- Scherzer O 1993 A parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems leading to optimal convergence rates Appl. Math. 38 479-87
- (1993) Appl. Math. , vol.38 , pp. 479-487
- Scherzer, O.¹

12
- 0027802743
- Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems
- Scherzer O, Engl H W and Kunisch K 1993 Optimal a posteriori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems SIAM J. Numer. Anal. 30 1796-838
- (1993) SIAM J. Numer. Anal. , vol.30 , pp. 1796-1838
- Scherzer, O.¹ Engl, H.W.² Kunisch, K.³

13
- 0000027929
- Well posedness and convergence of some regularization methods for nonlinear ill-posed problems
- Seidman T I and Vogel C R 1989 Well posedness and convergence of some regularization methods for nonlinear ill-posed problems Inverse Problems 5 227-38
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- Seidman, T.I.¹ Vogel, C.R.²

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