Generalizations of the reverse order law with related results
- Barwick, David T.
- Gilbert, Jimmie D.
Publication date
August 1974
DOI Publisher
Published by Elsevier Inc. ISSN
0024-3795 Citation count (estimate)
7Abstract
AbstractThis paper presents conditions which are necessary and sufficient for (AB>)+ = B+Aω for all normalized generalized inverses Aω of the complex matrix A. Corresponding conditions are stated which are equivalent to the situation where (AB)+ = BωA+ is satisfied by each weak generalized inverse Bω of B. The results are applied to theorems by Baskett and Katz and by Schwerdtfeger
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