HIGH-ORDER COPOSITIVE TENSORS AND ITS APPLICATIONS

被引：19

作者：

Chen, Haibin ^{[1
]}

Wang, Yiju ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Management Sci, Rizhao 276800, Shandong, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2018年 / 8卷 / 06期

基金：

中国博士后科学基金;

关键词：

Copositive tensor; tensor complementarity problem; homogeneous polynomial; tensor eigenvalue; hypergraphs; FRACTIONAL DIFFERENTIAL-EQUATIONS; IMPLICIT DEGREE CONDITION; POSITIVE SOLUTIONS; POLYNOMIAL OPTIMIZATION; COMPLEMENTARITY-PROBLEM; PROJECTION ALGORITHM; EIGENVALUE ANALYSIS; HAMILTON CYCLES; LEVEL SETS; BLOW-UP;

D O I：

10.11948/2018.1863

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

With the coming of the big data era, high-order high-dimensional structured tensors received much attentions of researchers' in recent years, and now they are developed into a new research branch in mathematics named multilinear algebra. As a special kind of structured tensor, the copositive tensor receives a special concern due to its wide applications in vacuum stability of a general scalar potential, polynomial optimization, tensor complementarity problem and tensor eigenvalue complementarity problem. In this review, we will give a simple survey on recent advances of high-order copositive tensors and its applications. Some potential research directions in the future are also listed in the paper.

引用

页码：1863 / 1885

页数：23

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