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...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Robeva, E, Seigal, A
التنسيق: Journal article
منشور في: Taylor and Francis 2017
الوصف
الملخص: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.