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
id todo:paper_00243795_v496_n_p182_Corach
record_format dspace
spelling todo:paper_00243795_v496_n_p182_Corach2023-10-03T14:34:48Z Optimal inverses and abstract splines Corach, G. Fongi, G. Maestripieri, A. Abstract spline problems Compatibility Optimal inverses Linear algebra Mathematical techniques Abstract splines Compatibility Optimal inverses Smoothing spline Inverse problems 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00243795_v496_n_p182_Corach
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Abstract spline problems
Compatibility
Optimal inverses
Linear algebra
Mathematical techniques
Abstract splines
Compatibility
Optimal inverses
Smoothing spline
Inverse problems
spellingShingle Abstract spline problems
Compatibility
Optimal inverses
Linear algebra
Mathematical techniques
Abstract splines
Compatibility
Optimal inverses
Smoothing spline
Inverse problems
Corach, G.
Fongi, G.
Maestripieri, A.
Optimal inverses and abstract splines
topic_facet Abstract spline problems
Compatibility
Optimal inverses
Linear algebra
Mathematical techniques
Abstract splines
Compatibility
Optimal inverses
Smoothing spline
Inverse problems
description 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.
format JOUR
author Corach, G.
Fongi, G.
Maestripieri, A.
author_facet Corach, G.
Fongi, G.
Maestripieri, A.
author_sort Corach, G.
title Optimal inverses and abstract splines
title_short Optimal inverses and abstract splines
title_full Optimal inverses and abstract splines
title_fullStr Optimal inverses and abstract splines
title_full_unstemmed Optimal inverses and abstract splines
title_sort optimal inverses and abstract splines
url http://hdl.handle.net/20.500.12110/paper_00243795_v496_n_p182_Corach
work_keys_str_mv AT corachg optimalinversesandabstractsplines
AT fongig optimalinversesandabstractsplines
AT maestripieria optimalinversesandabstractsplines
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