Paper Info
Title
The block independence in the generalized inverse AT, S (2) for some ordered matrices and applications
Abstract
In this paper, the definition of block independence in the generalized inverse AT,S(2) is firstly given, and then a necessary and sufficient condition for some ordered matrices to be block independent in the generalized inverse AT,S(2) is derived. As an application, a necessary and sufficient condition forA1+A2+⋯+AkT,S(2)=A1T1,S1(2)+A2T2,S2(2)+⋯+AkTk,Sk(2)is proved. Moreover, some results are shown with respect to the Moore–Penrose inverse, the Weighted Moore–Penrose inverse and the Drazin inverse, respectively.
Year
DOI
Venue
2014
10.1016/j.amc.2013.12.173
Applied Mathematics and Computation
Keywords
DocType
Volume
Rank,Linear matrix expression,Moore–Penrose inverse,Drazin inverse,Weighted Moore–Penrose inverse,Block matrix
Journal
232
Issue
ISSN
Citations 
null
0096-3003
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Guang-Jing Song1457.06
Shao-Wen Yu2163.85