PROJECTION METHODS FOR COMPUTING MOORE-PENROSE INVERSES OF UNBOUNDED OPERATORS

被引：5

作者：

Kulkarni, S. H. ^{[1
]}

Ramesh, G. ^{[2
]}

机构：

[1] IIT Madras, Dept Math, Madras 600036, Tamil Nadu, India

[2] ISI Bangalore, Stat Math Unit, Bangalore 560059, Karnataka, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2010年 / 41卷 / 05期

关键词：

Densely defined operator; closed operator; Moore-Penrose inverse; generalized projection method;

D O I：

10.1007/s13226-010-0037-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we give a characterization of the convergence of projection methods which are useful for approximating the Moore-Penrose inverse of a closed densely defined operator between Hilbert spaces. We illustrate the main theorem with an example. Also a procedure for constructing the admissible sequence of projections is discussed.

引用

页码：647 / 662

页数：16