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Generalizations of the reverse order law with related results

✍ Scribed by David T. Barwick; Jimmie D. Gilbert


Book ID
107824697
Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
225 KB
Volume
8
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


On Generalizations of the Reverse Order
✍ Barwick, D. T.; Gilbert, J. D. πŸ“‚ Article πŸ“… 1974 πŸ› Society for Industrial and Applied Mathematics 🌐 English βš– 468 KB
Further results on the reverse-order law
✍ Nobuo Shinozaki; Masaaki Sibuya πŸ“‚ Article πŸ“… 1979 πŸ› Elsevier Science 🌐 English βš– 437 KB
An invariance property related to the re
✍ Jerzy K. Baksalary; Oskar Maria Baksalary πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 96 KB

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

Reverse order laws for the weighted gene
✍ Jovana Nikolov; Dragana S. CvetkoviΔ‡-IliΔ‡ πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 220 KB

In this paper, we offer new necessary and sufficient conditions for the reverse order laws to hold for the weighted generalized inverses of matrices.