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dc.contributor.author
Massey, Pedro Gustavo  
dc.contributor.author
Ruiz, Mariano Andres  
dc.date.available
2017-07-03T21:18:52Z  
dc.date.issued
2010-02  
dc.identifier.citation
Massey, Pedro Gustavo; Ruiz, Mariano Andres; Minimization of convex functionals over frame operators; Springer; Advances In Computational Mathematics; 32; 2; 2-2010; 131-153  
dc.identifier.issn
1019-7168  
dc.identifier.uri
http://hdl.handle.net/11336/19429  
dc.description.abstract
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  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Frames  
dc.subject
Frame Potential  
dc.subject
Majorization  
dc.subject.classification
Otras Matemáticas  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Minimization of convex functionals over frame operators  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-03T16:49:49Z  
dc.journal.volume
32  
dc.journal.number
2  
dc.journal.pagination
131-153  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina  
dc.description.fil
Fil: Ruiz, Mariano Andres. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina  
dc.journal.title
Advances In Computational Mathematics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10444-008-9092-5  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10444-008-9092-5  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0710.1258