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

被引：432
|
作者：
HANKE, M
NEUBAUER, A
SCHERZER, O
机构：
[1] Institut für Mathematik, Johannes-Kepler-Universität, Linz
来源：
NUMERISCHE MATHEMATIK | 1995年 / 72卷 / 01期
关键词：
D O I：
10.1007/s002110050158
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove that the Landweber iteration is a stable method for solving nonlinear ill-posed problems. For perturbed data with noise level delta we propose a stopping rule that yields the convergence rate O(delta(1/2)) under appropriate conditions. We illustrate these conditions for a few examples.
引用
收藏
页码：21 / 37
页数：17
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