曲阜师范大学学报（自然科学版）2024，Vol.50Issue(2)：46-56,11.DOI:10.3969/j.issn.1001-5337.2024.2.046
高阶张量协正性研究的最新进展
Recent progress on the study of copositivity of high-order tensors
摘要
Abstract
In the era of big data,tensors have attracted much attention due to its ability in bearing higher-order and higher-dimensional information,which leads to extensive research on the theory,calcula-tion and application of tensors.As a special structured tensor,the copositive tensor plays an indispensable role in material physics,hypergraph theory,polynomial optimization,tensor complementarity and tensor ei-genvalue complementarity.This paper sorts out and summarizes the progress of numerical verification,al-gorithm and application of high order copositive tensors,and offers potential research avenues for the ad-vancement of large-scale,high-order copositive tensor-related problems in future studies.关键词
协正张量/齐次多项式/张量互补/张量特征值Key words
copositive tensor/homogeneous polynomial/tensor complementarity/tensor eigen value分类
数理科学引用本文复制引用
陈海滨..高阶张量协正性研究的最新进展[J].曲阜师范大学学报（自然科学版）,2024,50(2):46-56,11.基金项目
国家自然科学基金(12071249) （12071249）
山东省自然科学基金杰出青年基金(ZR2021JQ01). （ZR2021JQ01）
