Regularization of ill-posed problems in Banach spaces: convergence rates

被引：116

作者：

Resmerita, E ^{[1
]}

机构：

[1] Austrian Acad Sci, RICAM, A-4040 Linz, Austria

来源：

INVERSE PROBLEMS | 2005年 / 21卷 / 04期

关键词：

D O I：

10.1088/0266-5611/21/4/007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with quantitative aspects of regularization for ill-posed linear equations in Banach spaces, when the regularization is done using a general convex penalty functional. The error estimates shown here by means of Bregman distances yield better convergences rates than those already known for maximum entropy regularization, as well as for total variation regularization.

引用

页码：1303 / 1314

页数：12

共 24 条

[1] ANALYSIS OF BOUNDED VARIATION PENALTY METHODS FOR ILL-POSED PROBLEMS [J].