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.
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)
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).