| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600907 | Linear Algebra and its Applications | 2012 | 5 Pages |
Abstract
0truemm0truemm We study properties of elements in a ring which admit the generalized Drazin inverse. It is shown that the element 1-ab is generalized Drazin invertible if and only if so is 1-ba and a formula for the generalized Drazin inverse of 1-ba in terms of the generalized Drazin inverse and the spectral idempotent of 1-ab is provided. Further, recent results relating to the Drazin index can be recovered from our theorems.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
