On stable perturbations for outer inverses of linear operators in Banach spaces

DOI10.1016/j.laa.2012.05.004zbMath1277.47003OpenAlexW2086764268MaRDI QIDQ445858

Qianglian Huang, Yueyu Jiang, Lanping Zhu

Publication date: 27 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.05.004

zbMATH Keywords

Drazin inversegeneralized inverseMoore-Penrose inversesgroup inverseouter inversegeneralized Drazin inversestable perturbations

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (10)

Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces ⋮ A continuous orbit for the generalized inverse, Moore–Penrose inverse and group inverse ⋮ Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Regular factorizations and group inverses of linear operators in Banach spaces ⋮ Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography ⋮ On the Stable Perturbation and Nashed’s Condition for Generalized Inverses^† ⋮ On stable perturbations of the generalized Drazin inverses of closed linear operators in Banach spaces ⋮ On the perturbation of outer inverses of linear operators in Banach spaces ⋮ Perturbation bound for the generalized Drazin inverse of an operator in Banach space ⋮ On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses

Cites Work

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• Some new perturbation theorems for generalized inverses of linear operators in Banach spaces
• Complete rank theorem of advanced calculus and singularities of bounded linear operators
• Continuity of generalized inverses of linear operators in Banach spaces and its applications
• The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
• Convergence of Newton-like methods for singular operator equations using outer inverses
• On the perturbation of the least squares solutions in Hilbert spaces
• The perturbation theory for the Drazin inverse and its applications
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• Condition number related with generalized inverse \(A_{T,S}^{(2)}\) and constrained linear systems
• On the expression of generalized inverses of perturbed bounded linear operators
• Some equivalent conditions of stable perturbation of operators in Hilbert spaces
• Perturbation of least squares problem in Hilbert spaces.
• Operators with equal projections related to their generalized inverses
• Perturbation analysis of generalized inverses of linear operators in Banach spaces
• A class of outer generalized inverses
• Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators
• On the perturbation of the group generalized inverse for a class of bounded operators in Banach spaces
• The perturbation theory for the Drazin inverse and its applications II
• Sharp Norm-Estimations for Moore–Penrose Inverses of Stable Perturbations of Hilbert $C^*$-Module Operators
• 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
• A Perturbation Bound of the Drazin Inverse of a Matrix by Separation of Simple Invariant Subspaces
• Stable perturbation in Banach algebras
• Outer Generalized Inverses in Rings
• An improvement on the perturbation of the group inverse and oblique projection

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