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.

引用

页码：2457 / 2471

页数：15

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