In this paper we consider the finite dimensional approximation of Landweber iteration for nonlinear ill-posed problems and propose an a posteriori stopping rule to choose the termination index of the iteration. Under certain conditions, we obtain convergence, a pseudo-optimality estimate, and rates
Method of Discrepancy in Interpolation Spaces for Nonlinear Ill-posed Problems
β Scribed by Nguyen Buong
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 251 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0025-584X
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β¦ Synopsis
In this note we study a variational method of regularization to solve nonlinear ill-posed problems involving monotone operators in infinite dimensional Banach space, when perturbative operators are non -monotone, basing on minimization of norm in interpolation space over closed and convex sets.
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