ON THE REGULARIZATION OF PROJECTION METHODS FOR SOLVING ILL-POSED PROBLEMS

被引：116

作者：

PLATO, R ^{[1
]}

VAINIKKO, G ^{[1
]}

机构：

[1] STATE UNIV TARTU,DEPT MATH,TARTU 202400,ESTONIA,USSR

来源：

NUMERISCHE MATHEMATIK | 1990年 / 57卷 / 01期

关键词：

Subject Classifications: AMS(MOS):65J10; CR:; G; 1.8;

D O I：

10.1007/BF01386397

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a class of regularization methods for a discretized version of an operator equation (which includes the case that the problem is ill-posed) with approximately given right-hand side. We propose an a priori- as well as an a posteriori parameter choice method which is similar to the discrepancy principle of Ivanov-Morozov. From results on fractional powers of selfadjoint operators we obtain convergence rates, which are (in many cases) the same for both parameter choices. © 1990 Springer-Verlag.

引用

页码：63 / 79

页数：17

共 21 条

[1] A POSTERIORI PARAMETER CHOICE FOR GENERAL REGULARIZATION METHODS FOR SOLVING LINEAR ILL-POSED PROBLEMS [J].