A CHARACTERIZATION OF THE MOORE-PENROSE INVERSE

被引：19

作者：

FIEDLER, M ^{[1
]}

MARKHAM, TL ^{[1
]}

机构：

[1] UNIV S CAROLINA,DEPT MATH,COLUMBIA,SC 29208

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 179卷

关键词：

D O I：

10.1016/0024-3795(93)90325-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If A is a nonsingular matrix of order n, the inverse of A is the unique matrix X for which rank [A/I I/X] = rank (A). We present a generalization of this fact to singular or rectangular matrices A to obtain an analogous result for the Moore-Penrose inverse A+ of A. We then give a geometric interpretation for the case that A is a positive semidefinite matrix.

引用

页码：129 / 133

页数：5