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

共 50 条

[1] A Representation of Moore-Penrose Inverse of a Matrix by Its Submatrices
Zhang, Guowan
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS, 2008, : 413 - 416
[2] NULLITIES OF SUBMATRICES OF THE MOORE-PENROSE INVERSE
ROBINSON, DW
LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 94 : 127 - 132
[3] The Moore-Penrose inverse of a companion matrix
Patricio, Pedro
LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (03) : 870 - 877
[4] MOORE-PENROSE INVERSE OF A SYMMETRICAL MATRIX
ABDULLAH, J
NEUDECKER, H
SHUANGZHE, L
ECONOMETRIC THEORY, 1993, 9 (04) : 703 - 703
[5] On the Moore-Penrose generalized inverse matrix
Rakha, MA
APPLIED MATHEMATICS AND COMPUTATION, 2004, 158 (01) : 185 - 200
[6] The moore-penrose inverse of a free matrix
Britz, Thomas
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2007, 16 : 208 - 215
[7] On the perturbation of the Moore-Penrose inverse of a matrix
Xu, Xuefeng
APPLIED MATHEMATICS AND COMPUTATION, 2020, 374 (374)
[8] THE MOORE-PENROSE INVERSE OF A SYMMETRICAL MATRIX
TRENKLER, G
MAGNUS, JR
ECONOMETRIC THEORY, 1992, 8 (04) : 585 - 586
[9] Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse
Cui, Chong
Wang, Hongxing
Wei, Yimin
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2023, 69 (06) : 4163 - 4186
[10] Perturbations of Moore-Penrose inverse and dual Moore-Penrose generalized inverse
Chong Cui
Hongxing Wang
Yimin Wei
Journal of Applied Mathematics and Computing, 2023, 69 : 4163 - 4186

← 1 2 3 4 5 →