Further results on the reverse-order law
β Scribed by Nobuo Shinozaki; Masaaki Sibuya
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 437 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
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It is shown that, quite surprisingly, all matrices of the form L -M -, where L -and M - denote generalized inverses of L and M, are generalized inverses of ML if and only if the product MLL -M -ML is invariant with respect to the choice of L -and M -, which at the first glance looks to be a weaker c
In this paper, we offer new necessary and sufficient conditions for the reverse order laws to hold for the weighted generalized inverses of matrices.
In previous papers [L. Wang, X. Wang, J. Feng, Subspace distance analysis with application to adaptive Bayesian algorithm for face recognition, Pattern Recognition 39(3) ( 2006) 456-464, L. Wang, X. Wang, J. Feng, Intrapersonal subspace analysis with application to adaptive Bayesian algorithm for fa