Minimization of convex functionals over frame operators
- Autores
- Massey, Pedro Gustavo; Ruiz, Mariano Andrés
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We present results about minimization of convex functionals defined over a finite set of vectors in a finite-dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one.
Facultad de Ciencias Exactas - Materia
-
Matemática
Frames
Frame potential
Majorization - 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:10915/101182
Ver los metadatos del registro completo
| id |
SEDICI_b50930bf2ea8e24f75dca3504657371a |
|---|---|
| oai_identifier_str |
oai:sedici.unlp.edu.ar:10915/101182 |
| network_acronym_str |
SEDICI |
| repository_id_str |
1329 |
| network_name_str |
SEDICI (UNLP) |
| spelling |
Minimization of convex functionals over frame operatorsMassey, Pedro GustavoRuiz, Mariano AndrésMatemáticaFramesFrame potentialMajorizationWe present results about minimization of convex functionals defined over a finite set of vectors in a finite-dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one.Facultad de Ciencias Exactas2010-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf131-153http://sedici.unlp.edu.ar/handle/10915/101182enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19429info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10444-008-9092-5info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0710.1258info:eu-repo/semantics/altIdentifier/issn/1019-7168info:eu-repo/semantics/altIdentifier/doi/10.1007/s10444-008-9092-5info:eu-repo/semantics/altIdentifier/arxiv/0710.1258info:eu-repo/semantics/altIdentifier/hdl/11336/19429info: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:UNLP2025-10-15T11:12:54Zoai:sedici.unlp.edu.ar:10915/101182Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:12:54.967SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Minimization of convex functionals over frame operators |
| title |
Minimization of convex functionals over frame operators |
| spellingShingle |
Minimization of convex functionals over frame operators Massey, Pedro Gustavo Matemática Frames Frame potential Majorization |
| title_short |
Minimization of convex functionals over frame operators |
| title_full |
Minimization of convex functionals over frame operators |
| title_fullStr |
Minimization of convex functionals over frame operators |
| title_full_unstemmed |
Minimization of convex functionals over frame operators |
| title_sort |
Minimization of convex functionals over frame operators |
| dc.creator.none.fl_str_mv |
Massey, Pedro Gustavo Ruiz, Mariano Andrés |
| author |
Massey, Pedro Gustavo |
| author_facet |
Massey, Pedro Gustavo Ruiz, Mariano Andrés |
| author_role |
author |
| author2 |
Ruiz, Mariano Andrés |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Matemática Frames Frame potential Majorization |
| topic |
Matemática Frames Frame potential Majorization |
| dc.description.none.fl_txt_mv |
We present results about minimization of convex functionals defined over a finite set of vectors in a finite-dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one. Facultad de Ciencias Exactas |
| description |
We present results about minimization of convex functionals defined over a finite set of vectors in a finite-dimensional Hilbert space, that extend several known results for the Benedetto-Fickus frame potential. Our approach depends on majorization techniques. We also consider some perturbation problems, where a positive perturbation of the frame operator of a set of vectors is realized as the frame operator of a set of vectors which is close to the original one. |
| publishDate |
2010 |
| dc.date.none.fl_str_mv |
2010-02 |
| 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/10915/101182 |
| url |
http://sedici.unlp.edu.ar/handle/10915/101182 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/19429 info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10444-008-9092-5 info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0710.1258 info:eu-repo/semantics/altIdentifier/issn/1019-7168 info:eu-repo/semantics/altIdentifier/doi/10.1007/s10444-008-9092-5 info:eu-repo/semantics/altIdentifier/arxiv/0710.1258 info:eu-repo/semantics/altIdentifier/hdl/11336/19429 |
| 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 131-153 |
| dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
| reponame_str |
SEDICI (UNLP) |
| collection |
SEDICI (UNLP) |
| 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 |
| _version_ |
1846064187096170496 |
| score |
13.22299 |