A NOTE ON THE NONLINEAR LANDWEBER ITERATION

被引：7

作者：

Hanke, Martin ^{[1
]}

机构：

[1] Johannes Gutenberg Univ Mainz, Inst Math, D-55099 Mainz, Germany

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 11期

关键词：

Discrepancy principle; Landweber iteration; Monotonicity rule; Nonlinear ill-posed problems; ILL-POSED PROBLEMS;

D O I：

10.1080/01630563.2014.884586

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We reconsider the Landweber iteration for nonlinear ill-posed problems. It is known that this method becomes a regularization method in the case when the iteration is terminated as soon as the residual drops below a certain multiple of the noise level in the data. So far, all known estimates of this factor are greater than two. Here we derive a smaller factor that may be arbitrarily close to one depending on the type of nonlinearity of the underlying operator equation.

引用

页码：1500 / 1510

页数：11

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