Examinando por Autor "Rovi, Ana"

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    Analysis of 2 x 2 x 2 Tensors
    (Universidad Nacional de Educación a Distancia (España). Facultad de Ciencias, 2010-06-01) Rovi, Ana
    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.