Additive perturbation results for the Drazin inverse

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Some 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

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Error bounds for a general perturbation of the Drazin inverse

The paper solves a long standing problem of finding 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 recov...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2005

ISSN: 0024-3795

DOI: 10.1016/j.laa.2004.11.001