An S-type upper bound for the largest singular value of nonnegative rectangular tensors

被引：10

作者：

Zhao, Jianxing ^{[1
]}

Sang, Caili ^{[1
]}

机构：

[1] Guizhou Minzu Univ, Coll Sci, Guiyang 550025, Peoples R China

来源：

OPEN MATHEMATICS | 2016年 / 14卷

基金：

中国国家自然科学基金;

关键词：

Nonnegative tensor; Rectangular tensor; Singular value; EIGENVALUE; ELLIPTICITY;

D O I：

10.1515/math-2016-0085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An S-type upper bound for the largest singular value of a nonnegative rectangular tensor is given by breaking N = {1, 2, . . . n} into disjoint subsets S and its complement. It is shown that the new upper bound is smaller than that provided by Yang and Yang (2011). Numerical examples are given to verify the theoretical results.

引用

页码：925 / 933

页数：9

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