Error bounds for the perturbation of the Drazin inverse under some geometrical conditions

DOI10.1016/j.amc.2009.08.003zbMath1185.15006OpenAlexW2086034043MaRDI QIDQ1039682

J. Blot

Publication date: 23 November 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.08.003

zbMATH Keywords

Drazin inverseperturbation boundssingular matrixeigenprojectors

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (6)

Acute perturbation of the group inverse ⋮ Acute perturbation of Drazin inverse and oblique projectors ⋮ Further results on the perturbation estimations for the Drazin inverse ⋮ The perturbation of the Drazin inverse ⋮ Sharp partial order and linear autonomous systems ⋮ Continuity of the core-EP inverse and its applications

Cites Work

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• Generalized inverses. Theory and applications.
• Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
• The Condition of a Finite Markov Chain and Perturbation Bounds for the Limiting Probabilities
• A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
• An improvement on perturbation bounds for the Drazin inverse
• Matrix theory. Basic results and techniques
• Some additive results on Drazin inverse

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