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On the Drazin inverse of the sum of two matrices - MaRDI portal

On the Drazin inverse of the sum of two matrices (Q410842)

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scientific article; zbMATH DE number 6021627
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On the Drazin inverse of the sum of two matrices
scientific article; zbMATH DE number 6021627

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    On the Drazin inverse of the sum of two matrices (English)
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    4 April 2012
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    Summary: We deduce the explicit expressions for \((P + Q)^D\) and \((PQ)^D\) of two matrices \(P\) and \(Q\) under the conditions \(P^2Q = PQP\) and \(Q^2P = QPQ\). Also, we give the upper bound of \(||(P + Q)^D - P^D||_2\).
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