Paper Info
Title
A splitting iterative method for α−β generalized inverse and singular linear system
Abstract
This paper deals with the case when the α − β generalized inverse A α , β (−1) is a linear transformation, in which case we give a splitting iterative method for A α , β (−1) . We also show that in the case of linear transformation, the α − β generalized inverse A α , β (−1) is a {1,2}-inverse of the matrix A with prescribed range and null space, based on which we propose a iterative method of calculating the unique α -approximate solution of minimal β -norm of the system Ax = b . The results extend some previous results about the Moore–Penrose inverse A + and the weighted Moore–Penrose inverse A M , N + .
Year
DOI
Venue
2003
10.1016/S0096-3003(02)00481-2
Applied Mathematics and Computation
Keywords
DocType
Volume
Splitting method,α − β generalized inverse,Essentially strictly convex norms
Journal
145
Issue
ISSN
Citations 
2
Applied Mathematics and Computation
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jing Cai100.34
Guo-Liang Chen210617.84