非奇异H-张量的新判定  

New CriteriaforNonsingular H-Tensors

作　　者：柳亮 王亚强 LIU Liang;WANG Ya-qiang(School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,China)

机构地区：[1]School of Mathematics and Information Science,Baoji University of Arts and Sciences,Baoji 721013,China

出　　处：《Chinese Quarterly Journal of Mathematics》2023年第2期123-133,共11页数学季刊（英文版）

基　　金：supported by the National Natural Science Foundations of China(Grant No.31600299);The Natural Science Foundation of Shaanxi province(Grant No.2020JM-622).

摘　　要：H-tensor plays an important role in identifying positive definiteness of even order real symmetric tensors.In this paper,some definitions and theorems related to H-tensors are introducedfirstly.Secondly,some new criteria for identifying nonsingular H-tensors are proposed,moreover,a new theorem for identifying positive definiteness of even order real symmetric tensors is obtained.Finally,some numerical examples are given to illustrate our results.

关 键 词：H-tensors Generalized diagonally dominant M-tensors 

分 类 号：O151.2[理学—数学]