Generalized Drazin inverses of anti-triangular block matrices |
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| Authors: | Chun Yuan Deng |
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| Affiliation: | College of Mathematics Science, South China Normal University, Guangzhou 510631, PR China |
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| Abstract: | In this paper we give formulae for the generalized Drazin inverse Md of an anti-triangular matrix  in two different ways: one is to express Md in terms of Ad with arbitrary B and C, the other is to express Md in terms of Bd and Cd with arbitrary A. Moreover, the results are applied to obtain generalized Drazin inverses of various structured matrices and some special cases are analyzed. |
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| Keywords: | Drazin inverse Additive result Schur complement Block matrix |
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