Error Bounds for the Perturbation of the Drazin Inverse of Closed Operations with Equal Spectral Projections
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Castro Gonzalez, N, 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).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17237 |
| 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, closed linear operators, perturbation, perturbed linear equation |
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