On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems

Inverse Problems

Volumn 13, Issue 3, 1997, Pages 815-827

  Jin, Qi Nian ^a   Hou, Zong Yi ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013292622     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/13/3/016     Document Type: Article

References (10)

1. Engl H W 1987 On the choice of the regularization parameter for iterated Tikhonov regularization of ill-posed problems J. Approx. Theory 49 55-63
2. Engl H W, Kunisch K and Neubauer A 1989 Convergence rates for Tikhonov regularization of nonlinear ill-posed problems Inverse Problems 51 523-40
3. Engl H W 1993 Regularization methods for the stable solution of inverse problems Surv. Math. Ind. 3 71-143
4. Gfrerer H 1987 An a-posteriori parameter choice for ordinary and iterated Tikhonov regularization leading to optimal convergence rates Math. Comput. 49 507-22
5. Hou Zong-Yi and Li He-Nong 1993 The general Arcangeli's method for solving ill-posed problems Nonlinear Anal. 21 197-206
6. Neubauer A 1989 Tikhonov regularization for nonlinear ill-posed problems: optimal convergence rates and finite dimensional approximation Inverse Problems 5 541-57
7. Morozov A 1984 Methods for Solving Incorrectly Posed Problems (New York: Springer)
8. Scherzer O, Engl H W and Kunisch K 1993 Optimal a-aposterori parameter choice for Tikhonov regularization for solving nonlinear ill-posed problems SIAM J. Numer. Anal. 30 1796-838
9. Scherzer O 1993 Convergence rate of iterated Tikhonov solutions of nonlinear ill-posed problems Numer. Math. 66 259-79
10. 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