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Error Bounds for the Perturbation of the Drazin Inverse of Closed Operations with Equal Spectral Projections

Castro Gonzalez, N and Koliha, Jerry J and Wei, Yimin (1999) Error Bounds for the Perturbation of the Drazin Inverse of Closed Operations with Equal Spectral Projections. RGMIA research report collection, 2 (5).

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Abstract

We study perturbations of the Drazin inverse of a closed linear operator A for the case when the perturbed operator has the same spectral projection as A. This theory subsumes results recently obtained by Wei and Wang, Rakočevič and Wei, and Castro and Koliha. We give explicit error estimates for the perturbation of Drazin inverse, and error estimates involving higher powers of the operators.

Item Type: Article
Uncontrolled Keywords: Drazin inverse, closed linear operators, perturbation, perturbed linear equation
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 19 Jul 2012 00:46
Last Modified: 23 May 2013 16:49
URI: http://vuir.vu.edu.au/id/eprint/17237
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