Mitra, Sujit Kumar (1987) On group inverses and the sharp order Linear Algebra and its Applications, 92 . pp. 17-37. ISSN 0024-3795
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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002437...
Related URL: http://dx.doi.org/10.1016/0024-3795(87)90248-5
Abstract
In this work the group inverse of a matrix is used to define the #-order on square matrices of index 1. The #-order is similar to the *-order of Drazin [2] and the minus order of Hartwig [6, 10] and Nambooripad [17]. The #-order and the *-order are compared and contrasted. Many conditions are given which assure the equivalence of the various partial orders studied.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 31883 |
| Deposited On: | 30 Mar 2011 12:59 |
| Last Modified: | 10 May 2011 12:40 |
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