Minimization of convex functionals over frame operators

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 prob...

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Detalles Bibliográficos
Autores principales: Massey, Pedro Gustavo, Ruiz, Mariano Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2010
Materias:
Matemática
Frames
Frame potential
Majorization
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/101182
https://ri.conicet.gov.ar/11336/19429
https://link.springer.com/article/10.1007/s10444-008-9092-5
https://arxiv.org/abs/0710.1258
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-101182
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Frames
Frame potential
Majorization
spellingShingle Matemática
Frames
Frame potential
Majorization
Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Minimization of convex functionals over frame operators
topic_facet Matemática
Frames
Frame potential
Majorization
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.
format Articulo
Articulo
author Massey, Pedro Gustavo
Ruiz, Mariano Andrés
author_facet Massey, Pedro Gustavo
Ruiz, Mariano Andrés
author_sort Massey, Pedro Gustavo
title Minimization of convex functionals over frame operators
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
publishDate 2010
url http://sedici.unlp.edu.ar/handle/10915/101182
https://ri.conicet.gov.ar/11336/19429
https://link.springer.com/article/10.1007/s10444-008-9092-5
https://arxiv.org/abs/0710.1258
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AT ruizmarianoandres minimizationofconvexfunctionalsoverframeoperators
bdutipo_str Repositorios
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