Error bounds for a general perturbation of the Drazin inverse
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Publication:1855155
DOI10.1016/S0096-3003(00)00149-1zbMath1032.15005OpenAlexW2027939831WikidataQ128018019 ScholiaQ128018019MaRDI QIDQ1855155
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(00)00149-1
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)
Related Items (10)
Acute perturbation of the group inverse ⋮ Perturbation bounds for the W-weighted core-EP inverse ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Continuity properties of the \(\{1\}\)-inverse and perturbation bounds for the Drazin inverse ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ Characterizations of matrices which eigenprojections at zero are equal to a fixed perturbation ⋮ Characterizations and perturbation analysis of a class of matrices related to core-EP inverses ⋮ Stable perturbation in Banach algebras ⋮ Elements of rings and Banach algebras with related spectral idempotents ⋮ Error bounds for the perturbation of the Drazin inverse under some geometrical conditions
Cites Work
- The error bound of the perturbation of the Drazin inverse
- Continuity properties of the Drazin pseudoinverse
- 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 of The Drazin inverse
- The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
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