Abstract
Abstract
In this work, we formulate a projected Bouligand–Landweber iteration for non-smooth ill-posed problems. The approach is a combination of Bouligand–Landweber iteration and the projection onto stripes the width of which is controlled by both the noise level and the structure of the operator. Since the forward mapping is not Fréchet differentiable, the convergence analysis will be based on the concept of asymptotic stability and a generalized tangential cone condition. Finally, numerical examples will be presented.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Computer Science Applications,Mathematical Physics,Signal Processing,Theoretical Computer Science
Reference26 articles.
1. On the solution of functional equations by the method of regularization;Morozov;Soviet Math. Dokl.,1966
2. Error estimates of the successive approximation method for illposed problems;Vainikko;Automat. Rem. Contr+.
3. A convergence analysis of the Landweber iteration for nonlinear ill-posed problems;Hanke;Numer. Math.,1995
4. A discrete scheme of Landweber iteration for solving nonlinear ill-posed problems;Jin;J. Math. Anal. Appl.,2001
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