Geodesic
The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products
The electronic journal of linear algebra, Tome 22 (2011), pp. 1085-1105.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper, necessary and sufficient conditions for a number of reverse order laws and mixed-type reverse order laws are derived by using the maximal ranks of the generalized Schur complements.
Classification : 15A03, 15A09
Keywords: reverse order law, mixed-type reverse order law, generalized inverse, matrix product, maximal rank, generalized Schur complement 
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     title = {The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products},
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Xiong, Zhiping; Zheng, Bing. The reverse order laws and the mixed-type reverse order laws for generalized inverses of multiple matrix products. The electronic journal of linear algebra, Tome 22 (2011), pp. 1085-1105. http://geodesic.mathdoc.fr/item/ELA_2011__22__a6/