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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/143964
Ver los metadatos del registro completo
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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:UNLP2025-09-29T11:32:16Zoai: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:13292025-09-29 11:32:17.099SEDICI (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 |
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2020-06-17 |
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eng |
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eng |
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