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.
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页码：71 / 77
页数：7
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