Optimal inverses and abstract splines

We extend the notion of optimal inverse introduced by S.K. Mitra for matrices, to operators in Hilbert spaces. We obtain necessary and sufficient conditions for the existence of these inverses for a closed range operator and apply these results to characterize the solutions of abstract smoothing spl...

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Detalles Bibliográficos
Autores principales: Corach, G., Fongi, G., Maestripieri, A.
Formato: JOUR
Materias:
Abstract spline problems
Compatibility
Optimal inverses
Linear algebra
Mathematical techniques
Abstract splines
Smoothing spline
Inverse problems
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00243795_v496_n_p182_Corach
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We extend the notion of optimal inverse introduced by S.K. Mitra for matrices, to operators in Hilbert spaces. We obtain necessary and sufficient conditions for the existence of these inverses for a closed range operator and apply these results to characterize the solutions of abstract smoothing spline problems. © 2016 Elsevier Inc. All rights reserved.

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