Geodesic
Group inverse for the block matrix with two identical subblocks over skew fields
The electronic journal of linear algebra, Tome 21 (2010), pp. 63-75.

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

Summary: Let K be a skew field and K n$\times n$ be the set of all n $\times n$ matrices over K. The purpose of this paper is to give some necessary and sufficient conditions for the existence and the representations of the group inverse of the block matrix AC BD under some conditions.
Classification : 15A09, 65F20
Keywords: skew fields, block matrix, group inverse 
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     author = {Zhao, Jiemei and Bu, Changjiang},
     title = {Group inverse for the block matrix with two identical subblocks over skew fields},
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Zhao, Jiemei; Bu, Changjiang. Group inverse for the block matrix with two identical subblocks over skew fields. The electronic journal of linear algebra, Tome 21 (2010), pp. 63-75. http://geodesic.mathdoc.fr/item/ELA_2010__21__a7/