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

dc.creatorMassri, Cesar Dario
dc.date.accessioned2017-04-12T20:01:02Z
dc.date.accessioned2018-11-06T15:05:49Z
dc.date.available2017-04-12T20:01:02Z
dc.date.available2018-11-06T15:05:49Z
dc.date.created2017-04-12T20:01:02Z
dc.date.issued2012-10-26
dc.identifierMassri, 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
dc.identifier0021-9045
dc.identifierhttp://hdl.handle.net/11336/15239
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1893758
dc.description.abstractWe 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.
dc.languageeng
dc.publisherElsevier
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0021904512001700
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/http://doi.org/10.1016/j.jat.2012.09.007
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMaximum
dc.subjectProduct of spheres
dc.subjectAlgorithm
dc.subjectMultilinear map
dc.subjectFirst singular value
dc.titleAn algorithm to find a maximum of a multilinear map over a product of spheres
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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