On application of generalized discrepancy principle to iterative methods for nonlinear ill-posed problems

Numerical Functional Analysis and Optimization

Volumn 26, Issue 1, 2005, Pages 35-48

  Bakushinsky, Anatoly ^a   Smirnova, Alexandra ^b  

^a INSTITUTE FOR SYSTEMS ANALYSIS   (Russian Federation)

^b GEORGIA STATE UNIVERSITY   (United States)

Author keywords

Discrepancy principle; Ill posed problem; Regularization

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DATA REDUCTION; FUNCTIONS; ITERATIVE METHODS; PARAMETER ESTIMATION; THEOREM PROVING;

DISCREPANCY PRINCIPLE; HILBER SPACES; ILL-POSED PROBLEMS; REGULARIZATION;

NONLINEAR PROGRAMMING;

EID: 17044393822     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-200051631     Document Type: Article

References (6)

1. A. B. Bakushinsky (1993). Iterative methods for nonlinear operator equations without regularity. New approach. Dokl. Russian Acad. Sci. 330:282-284.
2. A. B. Bakushinsky and A. V. Goncharskii (1994). Ill-Posed Problems: Theory and Applications. Kluwer, Dordrecht.
3. A. B. Bakushinsky and M. Yu. Kokurin (2001). Sourcewise representation of solutions to nonlinear operator equations in a Banach space and convergence rate estimates for a regularized Newton's method. J. Inverse Ill-Posed Probl. 9(4):349-374.
4. A. B. Bakushinsky and M. Yu. Kokurin (2002). Iterative Methods far Ill-Posed Operator Equations with Smooth Operators. YRSS, Moscow (in Russian).
5. B. Blaschke, A. Neubauer and O. Scherzer (1997). On convergence rates for the iteratively regularized Gauss-Newton method. IMA J. Num. Anal. 17:421-436.
6. T. Hohage (1997). Logarithmic convergence rates of the iteratively regularized Gauss-Newton method for an inverse potential and inverse scattering problem. Inverse Problems 13:1279-1299.