Geodesic
On the group inverse of linear combinations of two group invertible matrices
The electronic journal of linear algebra, Tome 22 (2011), pp. 490-503.

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

Summary: In this paper, some formulas are found for the group inverse of aP +bQ, where P and Qare two nonzero group invertible complex matrices satisfying certain conditions and a, b nonzero complex numbers.
Classification : 15A09, 15A57
Keywords: group inverse, linear combination 
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     author = {Liu, Xiaoji and Wu, Lingling and Benitez, Julio},
     title = {On the group inverse of linear combinations of two group invertible matrices},
     journal = {The electronic journal of linear algebra},
     pages = {490--503},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a47/}
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Liu, Xiaoji; Wu, Lingling; Benitez, Julio. On the group inverse of linear combinations of two group invertible matrices. The electronic journal of linear algebra, Tome 22 (2011), pp. 490-503. http://geodesic.mathdoc.fr/item/ELA_2011__22__a47/