The Expression of the Drazin Inverse with Rank Constraints

Linlin Zhao

doi:10.1155/2012/390592

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2012 The Expression of the Drazin Inverse with Rank Constraints

Linlin Zhao

J. Appl. Math. 2012: 1-10 (2012). DOI: 10.1155/2012/390592

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Abstract

By using the matrix decomposition and the reverse order law, we provide some new expressions of the Drazin inverse for any $2{\times}2$ block matrix with rank constraints.