An algorithm to find a maximum of a multilinear map over a product of spheres
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 cl...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00219045_v166_n1_p19_Massri |
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todo:paper_00219045_v166_n1_p19_Massri2023-10-03T14:22:38Z An algorithm to find a maximum of a multilinear map over a product of spheres Massri, C. Algorithm First singular value Maximum Multilinear map Product of spheres 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. © 2012 Elsevier Inc. Fil:Massri, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00219045_v166_n1_p19_Massri |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Algorithm First singular value Maximum Multilinear map Product of spheres |
| spellingShingle |
Algorithm First singular value Maximum Multilinear map Product of spheres Massri, C. An algorithm to find a maximum of a multilinear map over a product of spheres |
| topic_facet |
Algorithm First singular value Maximum Multilinear map Product of spheres |
| 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. © 2012 Elsevier Inc. |
| format |
JOUR |
| author |
Massri, C. |
| author_facet |
Massri, C. |
| author_sort |
Massri, C. |
| title |
An algorithm to find a maximum of a multilinear map over a product of spheres |
| 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 |
algorithm to find a maximum of a multilinear map over a product of spheres |
| url |
http://hdl.handle.net/20.500.12110/paper_00219045_v166_n1_p19_Massri |
| work_keys_str_mv |
AT massric analgorithmtofindamaximumofamultilinearmapoveraproductofspheres AT massric algorithmtofindamaximumofamultilinearmapoveraproductofspheres |
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1807320896003637248 |