A CONVERGENCE ANALYSIS OF THE LANDWEBER ITERATION FOR NONLINEAR ILL-POSED PROBLEMS

Authors
HANKE M NEUBAUER A SCHERZER O
Citation
M. Hanke et al., A CONVERGENCE ANALYSIS OF THE LANDWEBER ITERATION FOR NONLINEAR ILL-POSED PROBLEMS, Numerische Mathematik, 72(1), 1995, pp. 21-37
Citations number
25
Categorie Soggetti
Mathematics,Mathematics
Journal title
Numerische Mathematik → ACNP
ISSN journal
0029599X
Volume
72
Issue
1
Year of publication
1995
Pages
21 - 37
Database
ISI
SICI code
0029-599X(1995)72:1<21:ACAOTL>2.0.ZU;2-S
Abstract
In this paper we prove that the Landweber iteration is a stable method for solving nonlinear ill-posed problems. For perturbed data with noi se level delta we propose a stopping rule that yields the convergence rate O(delta(1/2)) under appropriate conditions. We illustrate these c onditions for a few examples.