Expressions for the generalized Drazin inverse of a block matrix in a Banach algebra
نویسنده
چکیده
We present some new representations for the generalized Drazin inverse of a block matrix with generalized Schur complement being generalized Drazin invertible in a Banach algebra under conditions weaker than those used in recent papers on the subject.
منابع مشابه
Generalized Drazin inverse of certain block matrices in Banach algebras
Several representations of the generalized Drazin inverse of an anti-triangular block matrix in Banach algebra are given in terms of the generalized Banachiewicz--Schur form.
متن کاملFormulae for the generalized Drazin inverse of a block matrix in terms of Banachiewicz–Schur forms
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.
متن کاملRepresentations for the Generalized Drazin Inverse of the Sum in a Banach Algebra and Its Application for Some Operator Matrices
We investigate additive properties of the generalized Drazin inverse in a Banach algebra A. We find explicit expressions for the generalized Drazin inverse of the sum a + b, under new conditions on a, b ∈ A. As an application we give some new representations for the generalized Drazin inverse of an operator matrix.
متن کاملRepresentation for the generalized Drazin inverse of block matrices in Banach algebras
Several representations of the generalized Drazin inverse of a block matrix with a group invertible generalized Schur complement in Banach algebra are presented.
متن کاملRepresentations for the Generalized Drazin Inverse in a Banach Algebra (communicated by Fuad Kittaneh)
The Drazin inverse has important applications in matrix theory and fields such as statistics, probability, linear systems theory, differential and difference equations, Markov chains, and control theory ([1, 2, 11]). In [9], Koliha extended the Drazin invertibility in the setting of Banach algebras with applications to bounded linear operators on a Banach space. In this paper, Koliha was able t...
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 220 شماره
صفحات -
تاریخ انتشار 2013