Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections

Autores
Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this note, we present links between several different areas in numerical analysis and operator theory. More precisely, we show that several saddle point problems are solvable in the presence of a property (called compatibility) between a positive operator and a closed subspace of a Hilbert space, and the same happens with certain abstract spline problems. These notions are related to the generalized Bott?Duffin inverse.
Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ingenieria. Departamento de Matematicas; Argentina
Fil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad Nacional de General Sarmiento; Argentina
Materia
Saddle Point
Splines
Projections
Bott-Duffin Inverse
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/12091
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/12091
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projectionsArias, Maria LauraCorach, GustavoGonzalez, Maria CelesteSaddle PointSplinesProjectionsBott-Duffin Inversehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this note, we present links between several different areas in numerical analysis and operator theory. More precisely, we show that several saddle point problems are solvable in the presence of a property (called compatibility) between a positive operator and a closed subspace of a Hilbert space, and the same happens with certain abstract spline problems. These notions are related to the generalized Bott?Duffin inverse.Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; ArgentinaFil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ingenieria. Departamento de Matematicas; ArgentinaFil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad Nacional de General Sarmiento; ArgentinaElsevier2014-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/12091Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections; Elsevier; Linear Algebra And Its Applications; 457; 6-2014; 61-750024-3795enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0024379514002869info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2014.05.006info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:54Zoai:ri.conicet.gov.ar:11336/12091instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:46:55.075CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
title Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
spellingShingle Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
Arias, Maria Laura
Saddle Point
Splines
Projections
Bott-Duffin Inverse
title_short Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
title_full Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
title_fullStr Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
title_full_unstemmed Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
title_sort Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections
dc.creator.none.fl_str_mv Arias, Maria Laura
Corach, Gustavo
Gonzalez, Maria Celeste
author Arias, Maria Laura
author_facet Arias, Maria Laura
Corach, Gustavo
Gonzalez, Maria Celeste
author_role author
author2 Corach, Gustavo
Gonzalez, Maria Celeste
author2_role author
author
dc.subject.none.fl_str_mv Saddle Point
Splines
Projections
Bott-Duffin Inverse
topic Saddle Point
Splines
Projections
Bott-Duffin Inverse
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this note, we present links between several different areas in numerical analysis and operator theory. More precisely, we show that several saddle point problems are solvable in the presence of a property (called compatibility) between a positive operator and a closed subspace of a Hilbert space, and the same happens with certain abstract spline problems. These notions are related to the generalized Bott?Duffin inverse.
Fil: Arias, Maria Laura. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
Fil: Corach, Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad de Buenos Aires. Facultad de Ingenieria. Departamento de Matematicas; Argentina
Fil: Gonzalez, Maria Celeste. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina. Universidad Nacional de General Sarmiento; Argentina
description In this note, we present links between several different areas in numerical analysis and operator theory. More precisely, we show that several saddle point problems are solvable in the presence of a property (called compatibility) between a positive operator and a closed subspace of a Hilbert space, and the same happens with certain abstract spline problems. These notions are related to the generalized Bott?Duffin inverse.
publishDate 2014
dc.date.none.fl_str_mv 2014-06
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/12091
Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections; Elsevier; Linear Algebra And Its Applications; 457; 6-2014; 61-75
0024-3795
url http://hdl.handle.net/11336/12091
identifier_str_mv Arias, Maria Laura; Corach, Gustavo; Gonzalez, Maria Celeste; Saddle point problems, Bott-Duffin inverses, abstract splines and oblique projections; Elsevier; Linear Algebra And Its Applications; 457; 6-2014; 61-75
0024-3795
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0024379514002869
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2014.05.006
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268824370413568
score 13.13397

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