Representations for the Drazin inverses of 2 × 2 block matrices |
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| Authors: | Li Guo Xiankun Du |
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| Institution: | a School of Mathematics, Jilin University, Changchun 130012, China
b School of Mathematics, Beihua University, Jilin 132013, China |
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| Abstract: | Let M denote a 2 × 2 block complex matrix  , where A and D are square matrices, not necessarily with the same orders. In this paper explicit representations for the Drazin inverse of M are presented under the condition that BDiC = 0 for i = 0, 1, … , n − 1, where n is the order of D. |
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| Keywords: | Block matrix Drazin inverse Index |
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