On the existence of solutions to equality constrained least-squares problems in infinite-dimensional Hilbert spaces.

DOI10.1016/S0096-3003(01)00170-9zbMath1051.47008OpenAlexW2000766516MaRDI QIDQ1855810

Jiu Ding

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(01)00170-9

zbMATH Keywords

equality constraintsexistence of solutionsclosed rangeleast-squares problemsangle between subspaces

Mathematics Subject Classification ID

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

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Perturbation of the Moore–Penrose Metric generalized inverse with applications to the best approximate solution problem in L^p(Ω, μ) ⋮ Perturbation analysis of the Moore-Penrose metric generalized inverse with applications

Cites Work

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• The product of operators with closed range
• Perturbation Theory for the Rank-Deficient Equality Constrained Least Squares Problem
• A Restricted Pseudoinverse and Its Application to Constrained Minima

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