Nonlinear implicit iterative method for solving nonlinear ill-posed problems
β Scribed by Jian-jun Liu; Guo-qiang He; Chuan-gang Kang
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 169 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0253-4827
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Often, physically interesting functions are not directly accessible by an experiment, and must be calculat an experimental accessible quantity. If this calculation requires the inversion of a Fredholm integral equk ind, the determination of the physically interesting function is an ill-posed problem
In this paper, we are interested in the solution of nonlinear inverse problems of the form F (x) = y. We propose an implicit Landweber method, which is similar to the third-order midpoint Newton method in form, and consider the convergence behavior of the implicit Landweber method. Using the discrep