Singular vectors of orthogonally decomposable tensors

被引：10
|
作者：
Robeva, Elina [1 ]
Seigal, Anna [1 ]
机构：
[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
来源：
LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 12期
关键词：
Tensors; spectral theory; RANK-ONE APPROXIMATION; DECOMPOSITION; NUMBER;
D O I：
10.1080/03081087.2016.1277508
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：2457 / 2471
页数：15
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