Data errors and an error estimation for ill-posed problems

被引：40

作者：

Yagola, AG ^{[1
]}

Leonov, AS

Titarenkoa, VN

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Dept Math, Moscow 119899, Russia

[2] Moscow Engn Phys Inst, Dept Math, Moscow 115409, Russia

来源：

INVERSE PROBLEMS IN ENGINEERING | 2002年 / 10卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

inverse problems; ill-posed problems; regularization; sourcewise representation;

D O I：

10.1080/10682760290031195

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we shall discuss the problem how to use a priori information for constructing regularizing algorithms and error estimation while solving ill-posed problems. We shall consider the following types of a priori information: (1) a compactness of a set of solutions; (2) a sourcewise representation of a solution with a compact operator.

引用

页码：117 / 129

页数：13

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