On the Drazin inverse of anti-triangular block matrices | Zendy

Daochang Zhang | Zendy; Dijana Mosić | Zendy; Liangyun Chen | Zendy

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On the Drazin inverse of anti-triangular block matrices

Author(s) -

Daochang Zhang,

Dijana Mosić,

Liangyun Chen

Publication year - 2022

Publication title -

electronic research archive

Language(s) - English

Resource type - Journals

ISSN - 2688-1594

DOI - 10.3934/era.2022124

Subject(s) - drazin inverse , mathematics , block (permutation group theory) , triangular matrix , inverse , block matrix , matrix (chemical analysis) , pure mathematics , complex matrix , algebra over a field , combinatorics , invertible matrix , geometry , chemistry , eigenvalues and eigenvectors , physics , chromatography , quantum mechanics

Our aim is to present new expressions for the Drazin inverse of anti-triangular block matrices under some circumstances. Applying the established new formulae for anti-triangular block matrices, we derive explicit representations for the Drazin inverse of a $ 2\times2 $ complex block matrix under corresponding assumptions. We extend several well known results in the literature in this way.

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