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The reverse order law (AB)− = B−A−

✍ Scribed by Nobuo Shinozaki; Masaaki Sibuya


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
460 KB
Volume
9
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


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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

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