Perturbation analysis of generalized inverses of linear operators in Banach spaces

DOI10.1016/j.laa.2004.04.011zbMath1072.47012OpenAlexW2014586213WikidataQ112882142 ScholiaQ112882142MaRDI QIDQ1887630

Qianglian Huang, Jipu Ma

Publication date: 22 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.04.011

zbMATH Keywords

generalized inverseMoore--Penrose inversesubimmersion

Mathematics Subject Classification ID

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

Related Items (14)

Regular factorizations and perturbation analysis for the core inverse of linear operators in Hilbert spaces ⋮ On the semi-continuity of generalized inverses in Banach algebras ⋮ Regular factorizations and group inverses of linear operators in Banach spaces ⋮ Some new perturbation theorems for generalized inverses of linear operators in Banach spaces ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ On perturbations for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ Perturbations and expressions for generalized inverses in Banach spaces and Moore-Penrose inverses in Hilbert spaces of closed linear operators ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ 2-strict convexity and continuity of set-valued metric generalized inverse in Banach spaces ⋮ Complete rank theorem of advanced calculus and singularities of bounded linear operators ⋮ Perturbation analysis for oblique projection generalized inverses of closed linear operators in Banach spaces ⋮ A note on the perturbation of an outer inverse ⋮ A Principle for Critical Point Under Generalized Regular Constraint and Ill-Posed Lagrange Multipliers Under Nonregular Constraints ⋮ On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses

Cites Work

• Sufficient and necessary conditions for Moore-Penrose inverses \(A_ x^ +\) to be continuous
• Manifolds, tensor analysis, and applications.
• On the necessary and sufficient conditions of the continuity of M-P inverses \(A_ x^ +\)
• Convergence of Newton-like methods for singular operator equations using outer inverses
• On the perturbation of the least squares solutions in Hilbert spaces
• On the continuity of generalized inverses of linear operators in Hilbert spaces.
• Perturbation analysis for the operator equation \(Tx=b\) in Banach spaces
• Perturbation of least squares problem in Hilbert spaces.
• Perturbation analysis of the least squares solution in Hilbert spaces
• Rank theorems of operators between Banach spaces
• Inner, outer, and generalized inverses in banach and hilbert spaces
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