Some results on matrix partial orderings and reverse order law
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 254-273.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Some results relating different matrix partial orderings and the reverse order law for the Moore-Penrose inverse and the group inverse are given. Special attention is paid when at least one of the two involved matrices is EP.
Classification : 15A09, 15A57
Mots-clés : partial ordering, Moore-Penrose inverse, group inverse, reverse order law 
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     author = {Benitez, Julio and Liu, Xiaoji and Zhong, Jin},
     title = {Some results on matrix partial orderings and reverse order law},
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     pages = {254--273},
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Benitez, Julio; Liu, Xiaoji; Zhong, Jin. Some results on matrix partial orderings and reverse order law. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 254-273. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a35/