A CLASS OF REGULARIZATION METHODS FOR ILL POSED PROBLEMS

被引：1

作者：

POKRZYWA, A ^{[1
]}

REGINSKA, T ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST MATH,PL-00950 WARSAW,POLAND

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1990年 / 11卷 / 1-2期

关键词：

D O I：

10.1080/01630569008816365

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with regularization methods for solving ill posed problems with nonselfadjoint bounded linear operators acting on a Hilbert space. A class of methods generated by certain families of functions is considered. In the case of exact data the convergence of approximate solutions to the exact one (provided that it exists) is proved and error estimations are presented. An integral representation of functions of an auxiliary operator is obtained and subsequently used in error estimation. © 1990, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：119 / 138

页数：20