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The Drazin inverse of anti-triangular block matrices

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The aim of this paper is to establish formulae for the Drazin inverse of anti-triangular block matrices under new assumptions in literature. Precisely, we consider the Drazin inverse of three… Click to show full abstract

The aim of this paper is to establish formulae for the Drazin inverse of anti-triangular block matrices under new assumptions in literature. Precisely, we consider the Drazin inverse of three kinds of anti-triangular block matrices. Applying these results, we present new expressions for the Drazin inverse of an arbitrary block matrix. In this way, we generalize a list of earlier results and illustrate it with three examples.

Keywords: anti triangular; drazin inverse; block; triangular block; inverse anti; block matrices

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2021

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