Perturbation of least squares problem in Hilbert spaces.

DOI10.1016/S0096-3003(99)00271-4zbMath1038.47006OpenAlexW1970486973MaRDI QIDQ1854997

Yi-Min Wei, Guo-Liang Chen

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(99)00271-4

zbMATH Keywords

Moore-Penrose inversereduced minimum modulusleast square solution

Mathematics Subject Classification ID

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

Related Items (16)

Perturbation analysis of Moore-Penrose quasi-linear projection generalized inverse of closed linear operators in Banach spaces ⋮ Perturbation analysis of generalized inverses of linear operators in Banach spaces ⋮ On the semi-continuity of generalized inverses in Banach algebras ⋮ GD1 inverse and 1GD inverse for bounded operators on Banach spaces ⋮ Perturbation and expression for inner inverses in Banach spaces and its applications ⋮ On level-2 condition number for the weighted Moore-Penrose inverse ⋮ On the perturbation of the reduced minimum modulus of bounded linear operators. ⋮ 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 ⋮ Some new perturbation results for generalized inverses of closed linear operators in Banach spaces ⋮ On stable perturbations for outer inverses of linear operators in Banach spaces ⋮ On Ad-Nonprojection Method for Stable Approximation to Infinite-Dimensional Moore–Penrose Inverse ⋮ An improved Newton iteration for the weighted Moore-Penrose inverse ⋮ The Basic Principles for Stable Approximations to Orthogonal Generalized Inverses of Linear Operators in Hilbert Spaces ⋮ The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces ⋮ The representation and approximation for the weighted Moore-Penrose inverse in Hilbert space.

Cites Work

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• The perturbation of consistent least squares problems
• On the perturbation of the least squares solutions in Hilbert spaces
• Perturbation analysis of the least squares solution in Hilbert spaces
• On the Continuity of the Generalized Inverse
• Perturbation theory for pseudo-inverses

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