Indefinite least-squares problems and pseudo-regularity
- Autores
- Giribet, Juan Ignacio; Maestripieri, Alejandra Laura; Martínez Pería, Francisco Dardo
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = minx∈H[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Matemática
Indefinite least-squares
Krein space
Pseudo-regular subspace - 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:10915/86713
Ver los metadatos del registro completo
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Indefinite least-squares problems and pseudo-regularityGiribet, Juan IgnacioMaestripieri, Alejandra LauraMartínez Pería, Francisco DardoCiencias ExactasMatemáticaIndefinite least-squaresKrein spacePseudo-regular subspaceGiven two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C.Facultad de Ciencias Exactas2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf895-908http://sedici.unlp.edu.ar/handle/10915/86713enginfo:eu-repo/semantics/altIdentifier/issn/0022-247Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2015.05.015info: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:UNLP2025-09-03T10:49:17Zoai:sedici.unlp.edu.ar:10915/86713Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:49:17.56SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Indefinite least-squares problems and pseudo-regularity |
| title |
Indefinite least-squares problems and pseudo-regularity |
| spellingShingle |
Indefinite least-squares problems and pseudo-regularity Giribet, Juan Ignacio Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace |
| title_short |
Indefinite least-squares problems and pseudo-regularity |
| title_full |
Indefinite least-squares problems and pseudo-regularity |
| title_fullStr |
Indefinite least-squares problems and pseudo-regularity |
| title_full_unstemmed |
Indefinite least-squares problems and pseudo-regularity |
| title_sort |
Indefinite least-squares problems and pseudo-regularity |
| dc.creator.none.fl_str_mv |
Giribet, Juan Ignacio Maestripieri, Alejandra Laura Martínez Pería, Francisco Dardo |
| author |
Giribet, Juan Ignacio |
| author_facet |
Giribet, Juan Ignacio 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 |
Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace |
| topic |
Ciencias Exactas Matemática Indefinite least-squares Krein space Pseudo-regular subspace |
| dc.description.none.fl_txt_mv |
Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C. Facultad de Ciencias Exactas |
| description |
Given two Krein spaces H and K, a (bounded) closed-range operator C:H→K and a vector y∈K, the indefinite least-squares problem consists in finding those vectors u∈H such that [Cu - y, Cu - y] = min<sub>x∈H</sub>[Cx - y, Cx - y]. The indefinite least-squares problem has been thoroughly studied before under the assumption that the range of C is a uniformly J-positive subspace of K. Along this article the range of C is only supposed to be a J-nonnegative pseudo-regular subspace of K. This work is devoted to present a description for the set of solutions of this abstract problem in terms of the family of J-normal projections onto the range of C. |
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2015 |
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2015 |
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