Rovi, Ana2024-05-202024-05-202010-06-01https://hdl.handle.net/20.500.14468/13799The 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.enAtribución-NoComercial-SinDerivadas 4.0 Internacionalinfo:eu-repo/semantics/openAccessAnalysis of 2 x 2 x 2 Tensorstesis de maestrÃatensor decompositionPARAFAC decompositionAlternating Least SquaresTensor Ranktypical and generic rankbest lower-rank approximationTensor Toolbox for MATLABdegeneracyuniquenesstensor classification