Indefinite Abstract Splines with a Quadratic Constraint

Autores
González Zerbo, Santiago; Maestripieri, Alejandra Laura; Martínez Pería, Francisco Dardo
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Facultad de Ciencias Exactas
Materia
Matemática
Abstract splines
Krein spaces
Quadratically constrained quadratic programming
Linear quadratic regulator
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/143964

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network_name_str SEDICI (UNLP)
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:UNLP2025-09-03T11:04:19Zoai: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:13292025-09-03 11:04:19.579SEDICI (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
dc.description.none.fl_txt_mv 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.
Facultad de Ciencias Exactas
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
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/143964
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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)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
209-225
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
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instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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