|
Abstract
|
|
|---|---|
| This paper addresses the problem of deriving formulas for the Drazin inverse of a modified matrix. First we focus on obtaining formulas of Sherman-Morrison-Woodbury type for singular matrices, dealing with the Drazin inverse. Denote the Drazin inverse of a square complex matrix $A$ by $A^D$. We provide some expressions of $(A-CD^DB)^D$ in terms of the Drazin inverse of the original matrix $A$ and of its generalized Schur complement $Z=D-BA^DC$, where $Z$ is not assumed invertible. In addition, we study some representations of the Drazin inverse of a modified matrix, by using an auxiliar idempotent matrix and some special cases are analyzed. The provided results extend earlier works given in the literature. | |
|
International
|
Si |
|
JCR
|
Si |
|
Title
|
Linear Algebra And Its Applications |
|
ISBN
|
0024-3795 |
|
Impact factor JCR
|
0,968 |
|
Impact info
|
Datos JCR del año 2012 |
|
Volume
|
438 |
|
|
dx.doi.org/10.1016/j.laa.2011.06.023 |
|
Journal number
|
|
|
From page
|
1678 |
|
To page
|
1687 |
|
Month
|
SIN MES |
|
Ranking
|
|