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

被引：433

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

共 25 条

[1]

Bakushinskii A. B., 1989, ITERATIVE METHODS SO

[2]

BAKUSHINSKII AB, 1992, ILL-POSED PROBLEMS IN NATURAL SCIENCES, P13

[3] CONSTRUCTION OF FIXED POINTS OF NONLINEAR MAPPINGS IN HILBERT SPACE [J].