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Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero

By N. Castro González, J.J. Koliha and Yimin Wei

Abstract

AbstractLet Aπ denote the eigenprojection of a matrix A corresponding to the eigenvalue 0. We characterize matrices B such that Bπ=Aπ, and derive from the results: (1) error bounds for the Drazin inverse of a perturbation, (2) improvement of error bounds given recently by Wei [10], Wei and Wang [11] and Castro González et al. [4], and (3) a new characterization of EP matrices

Publisher: Elsevier Science Inc.
Year: 2000
DOI identifier: 10.1016/S0024-3795(00)00101-4
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