Wissen, was gut ist. Studieren in Chemnitz.
Hein, Torsten; Kazimierski, Kamil S. : Accelerated Landweber iteration in Banach spaces

Hein, Torsten ; Kazimierski, Kamil S. : Accelerated Landweber iteration in Banach spaces

Author(s):
Hein, Torsten
Kazimierski, Kamil S.
Title:
Accelerated Landweber iteration in Banach spaces
Electronic source:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 17, 2009
Mathematics Subject Classification:
47A52 [ Ill-posed problems, regularization ]
65F10 [ Iterative methods for linear systems ]
46E15 [ Banach spaces of continuous, differentiable or analytic functions ]
46B20 [ Geometry and structure of normed linear spaces ]
Abstract:
We investigate a method of accelerated Landweber type for the iteratve regularization of nonlinear ill-posed operator equations in Banach spaces. Based on an auxiliary algorithm with simplified choice of the step size parameter we present a convergence and stability analysis of the algorithm under consideration. We will close our discussion with the presentation of a numerical example.
Keywords:
iterative regularization, Landweber iteration, Banach spaces, smooth of power type, convex of power type, Bregman distance
Language:
English
Publication time:
10 / 2009