The representation of the Drazin inverse of anti-triangular operator matrices based on resolvent expansions

DOI10.1016/j.amc.2014.05.053zbMath1334.15011OpenAlexW1971481675MaRDI QIDQ279522

Yunfeng Shi, Alatancang Chen, Jun-Jie Huang

Publication date: 28 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.053

zbMATH Keywords

Drazin inverseresolvent expansionanti-triangular operator matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (6)

Representations for the Drazin inverse of the sum of two matrices and its applications ⋮ Drazin inverse of anti-triangular operator matrices ⋮ Exact expressions for the Drazin inverse of anti-triangular matrices ⋮ On the Drazin inverse of anti-triangular block matrices ⋮ The generalized Drazin inverse of operator matrices ⋮ The Drazin inverse of anti-triangular block matrices

Cites Work

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• Additive results of the Drazin inverse for bounded linear operators
• Further results on the group inverses and Drazin inverses of anti-triangular block matrices
• The Drazin inverse of the sum of two matrices and its applications
• Representation of the Drazin inverse for special block matrix
• A note on the Drazin inverse of an anti-triangular matrix
• Some additive results on Drazin inverses
• Representations of the Drazin inverse for a class of block matrices
• Group inverse for a class \(2\times 2\) block matrices over skew fields
• Formulas for the Drazin inverse of special block matrices
• Pseudo-Inverses in Associative Rings and Semigroups
• On the Generalized Drazin Inverse and Generalized Resolvent
• Some additive results on Drazin inverse

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