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GUO Mei-hua, LIU Ding-you. Expressions on generalized inverses of the Schur complement of a 2×2 block matrix[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 38-43. doi: 10.3969/j.issn.1000-5641.2016.04.005
Citation:
GUO Mei-hua, LIU Ding-you. Expressions on generalized inverses of the Schur complement of a 2×2 block matrix[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 38-43. doi: 10.3969/j.issn.1000-5641.2016.04.005
GUO Mei-hua, LIU Ding-you. Expressions on generalized inverses of the Schur complement of a 2×2 block matrix[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 38-43. doi: 10.3969/j.issn.1000-5641.2016.04.005
Citation:
GUO Mei-hua, LIU Ding-you. Expressions on generalized inverses of the Schur complement of a 2×2 block matrix[J]. Journal of East China Normal University (Natural Sciences), 2016, (4): 38-43. doi: 10.3969/j.issn.1000-5641.2016.04.005
This article investigates various expressions for the generalized inverses of the Schur complement S = A BDC of a 2 2 block matrix M =
A B
C D
!
under different conditions. Moreover, we give some new results for the generalized inverses of the Schur complement when M is positive semidefinite. Besides, some conclusions are obtained directly from our results.
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