An algorithm to find a maximum of a multilinear map over a product of spheres

Autores
Massri, Cesar Dario
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, we give an application to find a closest rank-one tensor of a given one.
Fil: Massri, Cesar Dario. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Ciudad Universitaria; Argentina
Materia
Maximum
Product of spheres
Algorithm
Multilinear map
First singular value
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:11336/15239
Acceder
id CONICETDig_3faca75ff90fbb7bcb85c8eb5f670bf8
oai_identifier_str oai:ri.conicet.gov.ar:11336/15239
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An algorithm to find a maximum of a multilinear map over a product of spheresMassri, Cesar DarioMaximumProduct of spheresAlgorithmMultilinear mapFirst singular valuehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, we give an application to find a closest rank-one tensor of a given one.Fil: Massri, Cesar Dario. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Ciudad Universitaria; ArgentinaElsevier2012-10-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/15239Massri, Cesar Dario; An algorithm to find a maximum of a multilinear map over a product of spheres; Elsevier; Journal Of Approximation Theory; 116; 26-10-2012; 19-410021-9045enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021904512001700info:eu-repo/semantics/altIdentifier/doi/http://doi.org/10.1016/j.jat.2012.09.007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:28:32Zoai:ri.conicet.gov.ar:11336/15239instacron: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 10:28:33.209CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An algorithm to find a maximum of a multilinear map over a product of spheres
title An algorithm to find a maximum of a multilinear map over a product of spheres
spellingShingle An algorithm to find a maximum of a multilinear map over a product of spheres
Massri, Cesar Dario
Maximum
Product of spheres
Algorithm
Multilinear map
First singular value
title_short An algorithm to find a maximum of a multilinear map over a product of spheres
title_full An algorithm to find a maximum of a multilinear map over a product of spheres
title_fullStr An algorithm to find a maximum of a multilinear map over a product of spheres
title_full_unstemmed An algorithm to find a maximum of a multilinear map over a product of spheres
title_sort An algorithm to find a maximum of a multilinear map over a product of spheres
dc.creator.none.fl_str_mv Massri, Cesar Dario
author Massri, Cesar Dario
author_facet Massri, Cesar Dario
author_role author
dc.subject.none.fl_str_mv Maximum
Product of spheres
Algorithm
Multilinear map
First singular value
topic Maximum
Product of spheres
Algorithm
Multilinear map
First singular value
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, we give an application to find a closest rank-one tensor of a given one.
Fil: Massri, Cesar Dario. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Ciudad Universitaria; Argentina
description We provide an algorithm to compute the 2-norm maximum of a multilinear map over a product of spheres. As a corollary we give a method to compute the first singular value of a linear map and an application to the theory of entangled states in quantum physics. Also, we give an application to find a closest rank-one tensor of a given one.
publishDate 2012
dc.date.none.fl_str_mv 2012-10-26
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/11336/15239
Massri, Cesar Dario; An algorithm to find a maximum of a multilinear map over a product of spheres; Elsevier; Journal Of Approximation Theory; 116; 26-10-2012; 19-41
0021-9045
url http://hdl.handle.net/11336/15239
identifier_str_mv Massri, Cesar Dario; An algorithm to find a maximum of a multilinear map over a product of spheres; Elsevier; Journal Of Approximation Theory; 116; 26-10-2012; 19-41
0021-9045
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021904512001700
info:eu-repo/semantics/altIdentifier/doi/http://doi.org/10.1016/j.jat.2012.09.007
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
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
_version_ 1844614289219911680
score 13.070432

Publicaciones similares