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Singular Vectors of Orthogonally Decomposable Tensors

Published 29 Mar 2016 in math.SP | (1603.09004v2)

Abstract: Orthogonal decomposition of tensors is a generalization of the singular value decomposition of matrices. In this paper, we study the spectral theory of orthogonally decomposable tensors. For such a tensor, we give a description of its singular vector tuples as a variety in a product of projective spaces.

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