Sets Computing the Symmetric Tensor Rank

被引：12
|
作者：
Ballico, Edoardo [1 ]
Chiantini, Luca [2 ]
机构：
[1] Univ Trento, Dipartimento Matemat, I-38123 Povo, TN, Italy
[2] Univ Siena, Dipartimento Sci Matemat & Informat R Magari, I-53100 Siena, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2013年 / 10卷 / 02期
关键词：
Symmetric tensor rank; Veronese embedding;
D O I：
10.1007/s00009-012-0214-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let denote the degree d Veronese embedding of . For any , the symmetric tensor rank sr(P) is the minimal cardinality of a set spanning P. Let be the set of all such that computes sr(P). Here we classify all such that sr(P) < 3d/2 and sr(P) is computed by at least two subsets of . For such tensors , we prove that has no isolated points.
引用
收藏
页码：643 / 654
页数：12
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