Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Optimal inverses and abstract splines |
Autor: | Corach, G.; Fongi, G.; Maestripieri, A. |
Filiación: | Departamento de Matemática, FI-UBA, Instituto Argentino de Matemática, Buenos Aires, Argentina Instituto Argentino de Matemática, Buenos Aires, Argentina
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Palabras clave: | Abstract spline problems; Compatibility; Optimal inverses; Linear algebra; Mathematical techniques; Abstract splines; Compatibility; Optimal inverses; Smoothing spline; Inverse problems |
Año: | 2016
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Volumen: | 496
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Página de inicio: | 182
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Página de fin: | 192
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DOI: |
http://dx.doi.org/10.1016/j.laa.2015.12.028 |
Título revista: | Linear Algebra and Its Applications
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Título revista abreviado: | Linear Algebra Its Appl
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ISSN: | 00243795
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CODEN: | LAAPA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00243795_v496_n_p182_Corach |
Referencias:
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- Atteia, M., Generalization de la définition et des propriétés des "spline-fonctions" (1965) C. R. Acad. Sci. Paris, 260, pp. 3550-3553
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- Champion, R., Lenard, C.T., Mills, T.M., A variational approach to splines (2000) ANZIAM J., 42, pp. 119-135
- Corach, G., Fongi, G., Maestripieri, A., Weighted projections into closed subspaces (2013) Studia Math., 216, pp. 131-148
- Corach, G., Maestripieri, A., Redundant decompositions, angles between subspaces and oblique projections (2010) Publ. Mat. Barc., 54 (2), pp. 461-484
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- Corach, G., Maestripieri, A., Stojanoff, D., Oblique projections and abstract splines (2002) J. Approx. Theory, 117, pp. 189-206
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- Holladay, J.C., A smoothest curve approximation (1957) Math. Tables Other Aids Comput., 11, pp. 233-243
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Citas:
---------- APA ----------
Corach, G., Fongi, G. & Maestripieri, A.
(2016)
. Optimal inverses and abstract splines. Linear Algebra and Its Applications, 496, 182-192.
http://dx.doi.org/10.1016/j.laa.2015.12.028---------- CHICAGO ----------
Corach, G., Fongi, G., Maestripieri, A.
"Optimal inverses and abstract splines"
. Linear Algebra and Its Applications 496
(2016) : 182-192.
http://dx.doi.org/10.1016/j.laa.2015.12.028---------- MLA ----------
Corach, G., Fongi, G., Maestripieri, A.
"Optimal inverses and abstract splines"
. Linear Algebra and Its Applications, vol. 496, 2016, pp. 182-192.
http://dx.doi.org/10.1016/j.laa.2015.12.028---------- VANCOUVER ----------
Corach, G., Fongi, G., Maestripieri, A. Optimal inverses and abstract splines. Linear Algebra Its Appl. 2016;496:182-192.
http://dx.doi.org/10.1016/j.laa.2015.12.028