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Weighted Generalized Inverses,Oblique Projections,and Least-Squares Problems
Authors:Gustavo Corach  Alejandra Maestripieri
Institution:1. Departamento de Matemática , FI-UBA , Buenos Aires, Argentina gcorach@fi.uba.ar;3. Instituto de Ciencias, Universidad Nacional de General Sarmiento , Los Polvorines, Argentina;4. IAM-CONICET , Buenos Aires, Argentina
Abstract:A generalization with singular weights of Moore–Penrose generalized inverses of closed range operators in Hilbert spaces is studied using the notion of compatibility of subspaces and positive operators.
Keywords:Abstract splines  Least squares  Oblique projections  Weighted generalized inverses
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