A CONVERGENCE ANALYSIS OF THE LANDWEBER ITERATION FOR NONLINEAR ILL-POSED PROBLEMS
A CONVERGENCE ANALYSIS OF THE LANDWEBER ITERATION FOR NONLINEAR ILL-POSED PROBLEMS
复制标题
DOI：
10.1007/s002110050158
复制
发表时间：
1995-11-01
影响因子：
2.1
通讯作者：
SCHERZER, O
中科院分区：
文献类型：
--
作者：
HANKE, M;NEUBAUER, A;SCHERZER, O
在本文中，我们证明了兰德韦伯迭代法是一种解决非线性问题的稳定方法。对于噪声水平为 delta 的扰动数据，我们提出了一种停止规则，在适当条件下可获得收敛速率 O(delta(1/2))。我们通过几个例子来说明这些条件。
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.