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On the existence of group inverses of Peirce corner matrices

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 نشر من قبل Daochang Zhang
 تاريخ النشر 2018
  مجال البحث
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We give some statements that are equivalent to the existence of group inverses of Peirce corner matrices of a $2 times 2$ block matrix and its generalized Schur complements. As applications, several new results for the Drazin inverses of the generalized Schur complements and the $2 times 2$ block matrix are obtained and some of them generalize several results in the literature.



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