Singular vectors of orthogonally decomposable tensors

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 sp...

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Bibliografske podrobnosti
Main Authors: Robeva, E, Seigal, A
Format: Journal article
Izdano: Taylor and Francis 2017
Opis
Izvleček: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.