Analysis of 2 x 2 x 2 Tensors

Rovi, Ana. (2010). Analysis of 2 x 2 x 2 Tensors Master Thesis,

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Título Analysis of 2 x 2 x 2 Tensors
Autor(es) Rovi, Ana
Abstract The question about how to determine the rank of a tensor has been widely studied in the literature. However the analytical methods to compute the decomposition of tensors have not been so much developed even for low-rank tensors. In this report we present analytical methods for finding real and complex PARAFAC decompositions of 2 x 2 x 2 tensors before computing the actual rank of the tensor. These methods are also implemented in MATLAB. We also consider the question of how best lower-rank approximation gives rise to problems of degeneracy, and give some analytical explanations for these issues.
Notas adicionales MAI Mathematics, Linköpings Universitet
Materia(s) Matemáticas
Director/Tutor Bergqvist, Göran (Director)
Fecha 2010-06-01
Formato application/pdf
Idioma eng
Versión de la publicación publishedVersion
Nivel de acceso y licencia
Tipo de recurso master Thesis
Tipo de acceso Acceso abierto

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Creado: Thu, 10 Mar 2011, 13:02:35 CET