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

页码：21 / 37

页数：17

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