Generalized inverses with proportional minors

Bapat, R. B. (1994) Generalized inverses with proportional minors Linear Algebra and its Applications, 211 . pp. 27-33. ISSN 0024-3795

Full text not available from this repository.

Official URL:

Related URL:


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
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

Repository Staff Only: item control page