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2016•MATEC Web of ConferencesOpen access

Representations for the Drazin inverses of block matrices

Li Guo, Jie Wang, Wenming Du

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Abstract

In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a explicit representation of the Drazin inverse of a block matrix.

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What this paper is about

In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a explicit representation of the Drazin inverse of a block matrix.

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OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, we investigate representations of the Drazin inverse of a 2 × 2 block matrix. The Drazin inverse of a matrix is very important in various applied mathematical fields like machinery and automation, singular differential equations. We give a explicit representation of the Drazin inverse of a block matrix.

Key concepts: Drazin inverse, Mathematics, Block (permutation group theory), Block matrix, Matrix (chemical analysis), Algebra over a field, Inverse, Representation (politics)

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