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