Rao, C.Radhakrishna ; Mitra, Sujit Kumar ; Bhimasankaram, P. (1972) Determination of a matrix by its subclasses of generalized inverses Sankhya - Series A, 34 (1). pp. 5-8. ISSN 0581-572X
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Official URL: http://sankhya.isical.ac.in/search/34a1/34a1002.ht...
Abstract
The main result of the paper is: AB+A=A and BA+B=B ⇒ A=B where A+ and B+ are the unique Moore-Penrose inverses of A and B respectively. This is a stronger result than uniqueness of Moore-Penrose inverse. Some other results are established generalizing the earlier result of Rao and Mitra (1971) that a matrix is uniquely determined by the entire class of its g-inverses.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Indian Statistical Institute. |
| ID Code: | 32043 |
| Deposited On: | 30 Mar 2011 12:55 |
| Last Modified: | 21 Dec 2012 09:24 |
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