Paper Info
Title
Innovation based on Gaussian elimination to compute generalized inverse AT, S(2).
Abstract
In this paper, we execute elementary row and column operations on the partitioned matrix (GAGGG0) into ((Is000)00−AT,S(2))to compute generalized inverse AT,S(2) of a given complex matrix A, where G is a matrix such that R(G)=T and N(G)=S. The total number of multiplications and divisions operations is T(m,n,s)=2mn2+4m−s−12ns+(m−s)ns+mns and the upper bound of T(m,n,s) is less than 6mn2−32n3−12n2 when n≤m. A numerical example is shown to illustrate that this method is correct.
Year
DOI
Venue
2013
10.1016/j.camwa.2013.03.011
Computers & Mathematics with Applications
Keywords
DocType
Volume
Gaussian elimination,Generalized inverse AT,S(2),Elementary row (column) operations,Multiplications and divisions operations
Journal
65
Issue
ISSN
Citations 
11
0898-1221
3
PageRank 
References 
Authors
0.44
7
2
Name
Order
Citations
PageRank
Xingping Sheng1656.82
Guo-Liang Chen210617.84