Additive results for the Drazin inverse of block matrices and applications
نویسندگان
چکیده
In this paper we consider the Drazin inverse of a sum of two matrices and we derive additive formulas under conditions weaker than those used in some recent papers on the subject. Like a corollary we get the main results from the paper of H. Yang, X. Liu (The Drazin inverse of the sum of two matrices and its applications, Journ.Comp.Appl.Math., 235 (2011) 1412–1417). As an application we give some new representations for the Drazin inverse of a block matrix. 2000 Mathematics Subject Classification: 15A09
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 کاملSome additive results on Drazin inverse
Some additive perturbation results for Drazin inverses are given. In particular, a formula is given for the Drazin inverse of a sum of two matrices, when one of the products of these matrices vanishes. Some special applications of this are also considered. © 2001 Elsevier Science Inc. All rights reserved. AMS classification: 15A09; 15A23
متن کاملOn additive properties of the Drazin inverse of block matrices and representations
In this paper, we give a new additive formula for the Drazin inverse under conditions weaker than those used in some current literature on this subject. Also, we obtain representations for the Drazin inverse of a complex block matrix having generalized Schur complement equal to zero. 2000 Mathematics Subject Classification: 15A09
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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.
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ورودعنوان ژورنال:
- J. Computational Applied Mathematics
دوره 235 شماره
صفحات -
تاریخ انتشار 2011