SPECTRAL METHODS FOR LINEAR INVERSE PROBLEMS WITH UNBOUNDED OPERATORS

被引：21

作者：

GROETSCH, CW

机构：

[1] Department of Mathematical Sciences, University of Cincinnati, Cincinnati

来源：

JOURNAL OF APPROXIMATION THEORY | 1992年 / 70卷 / 01期

关键词：

D O I：

10.1016/0021-9045(92)90053-Q

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Spectral theory for bounded linear operators is used to develop a general class of approximation methods for the Moore-Penrose generalized inverse of a closed, densely defined linear operator. Issues of convergence and stability are addressed and the methods are modified to provide a stable class of methods for evaluation of unbounded linear operators. © 1992.

引用

页码：16 / 28

页数：13

共 17 条

[1]

Baumeister J., 1987, STABLE SOLUTION INVE

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