RANK AND INERTIA OF SUBMATRICES OF THE MOORE-PENROSE INVERSE OF A HERMITIAN MATRIX

被引：0

作者：

Tian, Yongge ^{[1
]}

机构：

[1] Cent Univ Finance & Econ, China Econ & Management Acad, Beijing 100081, Peoples R China

来源：

ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2010年 / 20卷

关键词：

Hermitian matrix; Partitioned matrix; Moore-Penrose inverse; Rank; Inertia;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Closed-form formulas are derived for the rank and inertia of submatrices of the Moore-Penrose inverse of a Hermitian matrix. A variety of consequences on the nonsingularity, nullity and definiteness of the submatrices are also presented.

引用

页码：226 / 240

页数：15

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