On the existence of global saturation for spectral regularization methods with optimal qualification

Autores
Mazzieri, Gisela Luciana; Spies, Ruben Daniel; Temperini, Karina Guadalupe
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A family of real functions {gα} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.
Fil: Mazzieri, Gisela Luciana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Temperini, Karina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
Ill-Posed
Inverse Problem
Qualification
Saturation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84150
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the existence of global saturation for spectral regularization methods with optimal qualificationMazzieri, Gisela LucianaSpies, Ruben DanielTemperini, Karina GuadalupeIll-PosedInverse ProblemQualificationSaturationhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A family of real functions {gα} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.Fil: Mazzieri, Gisela Luciana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Temperini, Karina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaDe Gruyter2012-12info: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/11336/84150Mazzieri, Gisela Luciana; Spies, Ruben Daniel; Temperini, Karina Guadalupe; On the existence of global saturation for spectral regularization methods with optimal qualification; De Gruyter; Journal Of Inverse And Ill-posed Problems; 20; 5-6; 12-2012; 765-7890928-0219CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/jip.2012.20.issue-5-6/jip-2012-0049/jip-2012-0049.xmlinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1108.4072info:eu-repo/semantics/altIdentifier/doi/10.1515/jip-2012-0049info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:07:51Zoai:ri.conicet.gov.ar:11336/84150instacron: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:34982025-09-29 10:07:52.08CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the existence of global saturation for spectral regularization methods with optimal qualification
title On the existence of global saturation for spectral regularization methods with optimal qualification
spellingShingle On the existence of global saturation for spectral regularization methods with optimal qualification
Mazzieri, Gisela Luciana
Ill-Posed
Inverse Problem
Qualification
Saturation
title_short On the existence of global saturation for spectral regularization methods with optimal qualification
title_full On the existence of global saturation for spectral regularization methods with optimal qualification
title_fullStr On the existence of global saturation for spectral regularization methods with optimal qualification
title_full_unstemmed On the existence of global saturation for spectral regularization methods with optimal qualification
title_sort On the existence of global saturation for spectral regularization methods with optimal qualification
dc.creator.none.fl_str_mv Mazzieri, Gisela Luciana
Spies, Ruben Daniel
Temperini, Karina Guadalupe
author Mazzieri, Gisela Luciana
author_facet Mazzieri, Gisela Luciana
Spies, Ruben Daniel
Temperini, Karina Guadalupe
author_role author
author2 Spies, Ruben Daniel
Temperini, Karina Guadalupe
author2_role author
author
dc.subject.none.fl_str_mv Ill-Posed
Inverse Problem
Qualification
Saturation
topic Ill-Posed
Inverse Problem
Qualification
Saturation
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A family of real functions {gα} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.
Fil: Mazzieri, Gisela Luciana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Spies, Ruben Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Temperini, Karina Guadalupe. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description A family of real functions {gα} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.
publishDate 2012
dc.date.none.fl_str_mv 2012-12
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/11336/84150
Mazzieri, Gisela Luciana; Spies, Ruben Daniel; Temperini, Karina Guadalupe; On the existence of global saturation for spectral regularization methods with optimal qualification; De Gruyter; Journal Of Inverse And Ill-posed Problems; 20; 5-6; 12-2012; 765-789
0928-0219
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84150
identifier_str_mv Mazzieri, Gisela Luciana; Spies, Ruben Daniel; Temperini, Karina Guadalupe; On the existence of global saturation for spectral regularization methods with optimal qualification; De Gruyter; Journal Of Inverse And Ill-posed Problems; 20; 5-6; 12-2012; 765-789
0928-0219
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/view/j/jip.2012.20.issue-5-6/jip-2012-0049/jip-2012-0049.xml
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1108.4072
info:eu-repo/semantics/altIdentifier/doi/10.1515/jip-2012-0049
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv De Gruyter
publisher.none.fl_str_mv De Gruyter
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
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score 13.070432

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