Ranks of tensors and a generalization of secant varieties

被引：58

作者：

Buczynski, Jaroslaw ^{[1
,2
]}

Landsberg, J. M. ^{[3
]}

机构：

[1] Univ Grenoble 1, Inst Fournier, F-38402 St Martin Dheres, France

[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2013年 / 438卷 / 02期

基金：

美国国家科学基金会;

关键词：

COMPUTATION; LOCUS;

D O I：

10.1016/j.laa.2012.05.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce subspace rank as a tool for studying ranks of tensors and X-rank more generally. We derive a new upper bound for the rank of a tensor and determine the ranks of partially symmetric tensors in C-2 circle times C-b circle times C-b. We review the literature from a geometric perspective. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：668 / 689

页数：22

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