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arxiv: 1603.09004 · v2 · pith:S76ETCSQnew · submitted 2016-03-29 · 🧮 math.SP

Singular Vectors of Orthogonally Decomposable Tensors

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keywords singulartensorsdecomposabledecompositionorthogonallydescriptiongeneralizationgive
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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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