Minimal distance upper bounds for the perturbation of least squares problems in Hilbert spaces

DOI10.1016/S0893-9659(01)00144-6zbMath1022.47007MaRDI QIDQ1861771

Jiu Ding

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacegeneralized inversesleast squares solution

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Numerical solutions to equations with linear operators (65J10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

Related Items (3)

Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ Lower and upper bounds for the perturbation of linear operators equations ⋮ Perturbation analysis of the Moore-Penrose metric generalized inverse with applications

Cites Work

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• 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
• A generalization of a classic theorem in the perturbation theory for linear operators
• Perturbation of systems of linear algebraic equations^∗

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