Title
Full-rank representation of generalized inverse AT,S(2) and its application
Abstract
In this paper, we introduce a full-rank representation of the generalized inverse A"T","S^(^2^) of a given complex matrix A, which is based on an arbitrary full-rank decomposition of G, where G is a matrix such that R(G)=T and N(G)=S. Using this representation, we introduce the minor of the generalized inverse A"T","S^(^2^); as a special case of the minor, a determinantal representation of the generalized inverse A"T","S^(^2^) is obtained. As an application, we use an example to demonstrate that this representation is correct.
Year
DOI
Venue
2007
10.1016/j.camwa.2007.05.011
Computers & Mathematics with Applications
Keywords
Field
DocType
complex matrix,special case,Full-rank representation,full-rank representation,generalized inverse A,Determinant,Minor,S ( 2 ),Generalized inverse A T,Determinantal representation,determinantal representation,Full-rank factorization,arbitrary full-rank decomposition
Rank (linear algebra),Complex matrix,Matrix (mathematics),Mathematical analysis,Generalized inverse,Mathematics,Special case
Journal
Volume
Issue
ISSN
54
11-12
Computers and Mathematics with Applications
Citations 
PageRank 
References 
18
1.50
3
Authors
2
Name
Order
Citations
PageRank
Xingping Sheng1656.82
Guo-Liang Chen210617.84