Bapat, R. B. (1994) Generalized inverses with proportional minors Linear Algebra and its Applications, 211 . pp. 27-33. 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(94)90080-9
Abstract
Let A, H be matrices of rank r and of order m×n and n×m respectively over an integral domain. It is shown that A admits a g-inverse whose r×r minors are propotional to the corresponding minors of H if and only if the trace of the rth compound of AH is invertible. We also obtain a determinantal formula for such a g-inverse when it exists. The results generalize earlier work on the existence of the Moore-Penrose and group inverses.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 1423 |
| Deposited On: | 04 Oct 2010 11:22 |
| Last Modified: | 13 May 2011 08:12 |
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