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Physical Sciences and Engineering Mathematics Analysis

Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms

Article ID Journal Published Year Pages File Type
4615822 Journal of Mathematical Analysis and Applications 2014 7 Pages PDF
Abstract

We introduce new expressions for the generalized Drazin inverse of a block matrix with the generalized Schur complement being generalized Drazin invertible in a Banach algebra under some conditions. We generalized some recent results for Drazin inverse and group inverse of complex matrices.

Keywords
Block matrixGeneralized Drazin inverseSchur complement
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Formulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms
Authors
Dijana Mosić, Dragan S. Djordjević,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Block matrix
Generalized Drazin inverse
Schur complement
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