Two new singular value inclusion sets for rectangular tensors

被引：7
|
作者：
Zhao, Jianxing [1 ]
机构：
[1] Guizhou Minzu Univ, Coll Data Sci & Informat Engn, Guiyang 550025, Guizhou, Peoples R China
来源：
LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Rectangular tensors; nonnegative tensors; singular value; inclusion sets; CONVERGENCE; ELLIPTICITY;
D O I：
10.1080/03081087.2018.1494125
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let be a real th order dimensional rectangular tensor. A new singular value inclusion set for rectangular tensors with m=n is given and proved to be tighter than those in [Zhao JX, Li CQ. Singular value inclusion sets for rectangular tensors. Linear Multilinear A. 2018;66(7):1333?1350] and [Sang CL. An S-type singular value inclusion set for rectangular tensors. J Inequal Appl. 2017;2017:141]. Soon afterwards, this new singular value inclusion set is generalized to the general case, that is, m and n are not necessarily equal. As an application of the two sets, two upper bounds and lower bounds for the largest singular value of nonnegative rectangular tensors are obtained.
引用
收藏
页码：2451 / 2470
页数：20
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