Indefinite Abstract Splines with a Quadratic Constraint

We study an extension to Krein spaces of the abstract interpolating spline problem in Hilbert spaces, introduced by M. Atteia. This is a quadratically constrained quadratic programming problem, where the objective function is not convex, while the equality constraint is sign indefinite. We character...

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Autores: González Zerbo, Santiago, Maestripieri, Alejandra Laura, Martínez Pería, Francisco Dardo
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Universidad Nacional de La Plata
Repositorio:SEDICI (UNLP)
Idioma:inglés
OAI Identifier:oai:sedici.unlp.edu.ar:10915/143964
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/143964
Access Level:acceso abierto
Palabra clave:Matemática
Abstract splines
Krein spaces
Quadratically constrained quadratic programming
Linear quadratic regulator
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spelling Indefinite Abstract Splines with a Quadratic ConstraintGonzález Zerbo, SantiagoMaestripieri, Alejandra LauraMartínez Pería, Francisco DardoMatemáticaAbstract splinesKrein spacesQuadratically constrained quadratic programmingLinear quadratic regulatorWe study an extension to Krein spaces of the abstract interpolating spline problem in Hilbert spaces, introduced by M. Atteia. This is a quadratically constrained quadratic programming problem, where the objective function is not convex, while the equality constraint is sign indefinite. We characterize the existence of solutions and, if there are any, we describe the set of solutions as the union of a family of affine manifolds parallel to a fixed subspace, which depend on the original data.Facultad de Ciencias Exactas2020-06-17info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf209-225http://sedici.unlp.edu.ar/handle/10915/143964enginfo:eu-repo/semantics/altIdentifier/issn/0022-3239info:eu-repo/semantics/altIdentifier/issn/1573-2878info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-020-01692-zinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2024-05-08T13:10:39Zoai:sedici.unlp.edu.ar:10915/143964Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292024-05-08 13:10:39.337SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Indefinite Abstract Splines with a Quadratic Constraint
title Indefinite Abstract Splines with a Quadratic Constraint
spellingShingle Indefinite Abstract Splines with a Quadratic Constraint
González Zerbo, Santiago
Matemática
Abstract splines
Krein spaces
Quadratically constrained quadratic programming
Linear quadratic regulator
title_short Indefinite Abstract Splines with a Quadratic Constraint
title_full Indefinite Abstract Splines with a Quadratic Constraint
title_fullStr Indefinite Abstract Splines with a Quadratic Constraint
title_full_unstemmed Indefinite Abstract Splines with a Quadratic Constraint
title_sort Indefinite Abstract Splines with a Quadratic Constraint
dc.creator.none.fl_str_mv González Zerbo, Santiago
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author González Zerbo, Santiago
author_facet González Zerbo, Santiago
Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author_role author
author2 Maestripieri, Alejandra Laura
Martínez Pería, Francisco Dardo
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Abstract splines
Krein spaces
Quadratically constrained quadratic programming
Linear quadratic regulator
topic Matemática
Abstract splines
Krein spaces
Quadratically constrained quadratic programming
Linear quadratic regulator
description We study an extension to Krein spaces of the abstract interpolating spline problem in Hilbert spaces, introduced by M. Atteia. This is a quadratically constrained quadratic programming problem, where the objective function is not convex, while the equality constraint is sign indefinite. We characterize the existence of solutions and, if there are any, we describe the set of solutions as the union of a family of affine manifolds parallel to a fixed subspace, which depend on the original data.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-17
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dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/143964
url http://sedici.unlp.edu.ar/handle/10915/143964
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0022-3239
info:eu-repo/semantics/altIdentifier/issn/1573-2878
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10957-020-01692-z
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
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209-225
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