Perturbation analysis for the reduced minimum modulus of bounded linear operator in Banach spaces.

DOI10.1016/S0096-3003(02)00434-4zbMath1055.47001MaRDI QIDQ1412421

Chao Zhu, Jing Cai, Guo-Liang Chen

Publication date: 25 November 2003

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

zbMATH Keywords

generalized inversereduced minimum modulusstable perturbation of operators

Mathematics Subject Classification ID

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

Related Items (3)

Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions ⋮ The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces

Cites Work

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• The expression of the generalized inverse of the perturbed operator under Type I perturbation in Hilbert spaces
• 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 generalized inverses of linear operators in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces

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