Properties of S-tensors

被引：29

作者：

Guo, Qi ^{[1
]}

Zheng, Meng-Meng ^{[1
]}

Huang, Zheng-Hai ^{[1
]}

机构：

[1] Tianjin Univ, Sch Math, Tianjin, Peoples R China

来源：

LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 04期

基金：

中国国家自然科学基金;

关键词：

S-tensor; semi-positive tensor; tensor complementarity problem; strict feasibility; EIGENVALUES;

D O I：

10.1080/03081087.2018.1430737

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Strict feasibility is an important issue in studies on the theory and algorithms of complementarity problems. For the tensor complementarity problem, strict feasibility can be characterized by the S-tensor. In this paper, we discuss properties of S-tensors. We illustrate that principal sub-tensors of an S-tensor are not always an S-tensor. In particular, we propose several necessary and/or sufficient conditions to judge whether a tensor is an S-tensor or not. Moreover, we also discuss relationship among S-tensors and several related tensors.

引用

页码：685 / 696

页数：12

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