One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization

被引：102

作者：

Cheng, J ^{[1
]}

Yamamoto, M

机构：

[1] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

[2] Gunma Univ, Fac Engn, Dept Math, Kiryu, Gumma 3768515, Japan

[3] Univ Tokyo, Dept Math Sci, Tokyo 153, Japan

来源：

INVERSE PROBLEMS | 2000年 / 16卷 / 04期

关键词：

D O I：

10.1088/0266-5611/16/4/101

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the conditional stability estimate for ill-posed inverse problems, we propose a new strategy for a priori choice of regularizing parameters in Tikhonov's regularization and we show that it can be applied to a wide class of inverse problems. The convergence rate of the regularized solutions is also proved.

引用

页码：L31 / L38

页数：8

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