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.
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页码：226 / 240
页数：15
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