Moore-Penrose inverse of an invertible infinite matrix

被引：6

作者：

Sivakumar, KC ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

来源：

LINEAR & MULTILINEAR ALGEBRA | 2006年 / 54卷 / 01期

关键词：

Moore-Penrose inverse; Infinite matrices;

D O I：

10.1080/03081080500054265

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we show that, contrary to finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore-Penrose inverse that is not a classical inverse of V . This also answers a recent open problem on infinite matrices.

引用

页码：71 / 77

页数：7

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