✦ LIBER ✦
A Discrete Scheme of Landweber Iteration for Solving Nonlinear Ill-Posed Problems
✍ Scribed by Qinian Jin; Umberto Amato
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 130 KB
- Volume
- 253
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
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 of convergence. A numerical example is given to test the theoretical assertions.