Characterizations of matrices which eigenprojections at zero are equal to a fixed perturbation
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Publication:706729
DOI10.1016/j.amc.2003.09.027zbMath1069.15022OpenAlexW2087112216MaRDI QIDQ706729
J. Y. Vélez-Cerrada, Nieves Castro-González
Publication date: 9 February 2005
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2003.09.027
Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items (9)
The weighted Drazin inverse of perturbed matrices with related support idempotents ⋮ The star partial order and the eigenprojection at 0 on EP matrices ⋮ On a partial order defined by the weighted Moore-Penrose inverse ⋮ Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse ⋮ Perturbations of Drazin invertible operators ⋮ Elements of rings and Banach algebras with related spectral idempotents ⋮ Error bounds for the perturbation of the Drazin inverse under some geometrical conditions ⋮ Optimal perturbation bounds for the core inverse ⋮ Nonnegative singular control systems using the Drazin projector
Cites Work
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- On the perturbation of the group inverse and oblique projection
- The perturbation theory for the Drazin inverse and its applications
- Perturbation of the Drazin inverse for matrices with equal eigenprojections at zero
- Continuity and general perturbation of the Drazin inverse for closed linear operators
- Power bounded and exponentially bounded matrices.
- Error bounds for a general perturbation of the Drazin inverse
- An improvement on the perturbation of the group inverse and oblique projection
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