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dc.contributor.author
Stojanoff, Demetrio
dc.contributor.author
Ruiz, M
dc.contributor.author
Massey, Pedro Gustavo
dc.date.available
2015-12-29T18:12:48Z
dc.date.issued
2013-03
dc.identifier.citation
Stojanoff, Demetrio; Ruiz, M; Massey, Pedro Gustavo; Optimal dual frames and frame completions for majorization; Academic Press Inc Elsevier Science; Applied And Computational Harmonic Analysis; 34; 2; 3-2013; 201-223
dc.identifier.issn
1063-5203
dc.identifier.uri
http://hdl.handle.net/11336/3278
dc.description.abstract
In this paper we consider two problems in frame theory. On the one hand, given a set of vectors F we describe the spectral and geometrical structure of optimal completions of F by a finite family of vectors with prescribed norms, where optimality is measured with respect to majorization. In particular, these optimal completions are the minimizers of a family of convex functionals that include the mean square error and the Benedetto?Fickusʼ frame potential. On the other hand, given a fixed frame F we describe explicitly the spectral and geometrical structure of optimal frames G that are in duality with F and such that the Frobenius norms of their analysis operators is bounded from below by a fixed constant. In this case, optimality is measured with respect to submajorization of the frames operators. Our approach relies on the description of the spectral and geometrical structure of matrices that minimize submajorization on sets that are naturally associated with the problems above.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Dual Frames
dc.subject
Frame Completions
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Majorization
dc.subject
Schur-Horn
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Optimal dual frames and frame completions for majorization
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
34
dc.journal.number
2
dc.journal.pagination
201-223
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Stojanoff, Demetrio. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.description.fil
Fil: Ruiz, M. Universidad Nacional de la Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina
dc.description.fil
Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática; Argentina
dc.journal.title
Applied And Computational Harmonic Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/pdf/1108.4412v3.pdf
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