Error Bounds for a General Perturbation of the Drazin Inverse

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Koliha, Jerry J (1999) Error Bounds for a General Perturbation of the Drazin Inverse. RGMIA research report collection, 2 (4).

Abstract

The paper solves a long standing problem of ending error bounds for a general perturbation of the Drazin inverse. The bounds are given in terms of the distance between the matrices together with the distance between their eigenprojections. Estimates using the gap between subspaces are also given. Recent results of several authors,including Castro, Koliha, Straškraba, Wang and Wei can be recovered as special cases of our theorems.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17226
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Drazin inverse, perturbation bound, eigenprojections, gap between subspaces
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