Error bounds for a general perturbation of the Drazin inverse
نویسنده
چکیده
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 recovered as special cases of our theorems.
منابع مشابه
Error Bounds for the Perturbation of the Drazin Inverse of Closed Operators with Equal Spectral Projections
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, Rakočević 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.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 126 شماره
صفحات -
تاریخ انتشار 2002