Acute and Stable Perturbations of the Drazin Inverse of Bounded Linear Operators in Banach Spaces

DOI10.1080/01630563.2020.1813162zbMath1477.47007OpenAlexW3081536641MaRDI QIDQ5150862

Hai Feng Ma

Publication date: 15 February 2021

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1813162

zbMATH Keywords

Drazin inverseBanach spacegroup inverseDrazin indexstable perturbationacute perturbation

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

Generalized Drazin Invertibility of Operator Matrices ⋮ Unbounded WCT operators and applications to linear equations ⋮ Weighted G-Outer Inverse of Banach Spaces Operators ⋮ Perturbation bounds for the group inverse and its oblique projection ⋮ MPD-DMP-solutions to quaternion two-sided restricted matrix equations

Cites Work

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• Characterizations and representations of the Drazin inverse involving idempotents
• New additive results for the generalized Drazin inverse
• Perturbation analysis for the Drazin inverse under stable perturbation in Banach space
• The representation and approximation of the Drazin inverse of a linear operator in Hilbert space.
• Continuity and general perturbation of the Drazin inverse for closed linear operators
• Acute perturbation of Drazin inverse and oblique projectors
• Further results on the perturbation estimations for the Drazin inverse
• Generalized inverses: theory and computations
• The difference and sum of projectors
• Two finite-time convergent Zhang neural network models for time-varying complex matrix Drazin inverse
• Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications
• Characterizations, approximation and perturbations of the core-EP inverse
• Optimal perturbation bounds for the core inverse
• Algebraic properties of generalized inverses
• Acute perturbation of the group inverse
• Explicit characterization of the Drazin index
• On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces
• The representation and characterization of Drazin inverses of operators on a Hilbert space
• The perturbation theory for the Drazin inverse and its applications II
• Additive results for the generalized Drazin inverse
• On the Generalized Drazin Inverse and Generalized Resolvent
• The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces
• The Stable Perturbation of the Drazin Inverse of the Square Matrices
• Characterizations of a Class of Matrices and Perturbation of the Drazin Inverse
• Inner, outer, and generalized inverses in banach and hilbert spaces
• A generalized Drazin inverse
• New additive results for the g-Drazin inverse
• A Note on Perturbation Estimations for Spectral Projectors
• A characterization and perturbation bounds for the weighted core-ep inverse
• 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
• Representations for the Drazin Inverse of a 2 x 2 Block Matrix