Geodesic
Some results on the group inverse for block matrices over skew fields
The electronic journal of linear algebra, Tome 18 (2009), pp. 117-125.

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

Summary: In this paper, necessary and sufficient conditions are given for the existence of the group inverse of the block matrix A A B 0 $$###$$ over any skew field, where A, B are both square and $rank(B) \geq rank(A)$. The representation of this group inverse and some relative additive results are also given.
Classification : 15A09
Keywords: skew, block matrix, group inverse 
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     author = {Bu, Changjiang and Zhao, Jiemei and Zhang, Kuize},
     title = {Some results on the group inverse for block matrices over skew fields},
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Bu, Changjiang; Zhao, Jiemei; Zhang, Kuize. Some results on the group inverse for block matrices over skew fields. The electronic journal of linear algebra, Tome 18 (2009), pp. 117-125. http://geodesic.mathdoc.fr/item/ELA_2009__18__a47/