非奇异H-张量的新判定

柳亮, 王亚强

doi:10.13371/j.cnki.chin.q.j.m.2023.02.002

数学季刊 >

2023 , Vol. 38 >Issue 2: 123 - 133

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2023.02.002

非奇异H-张量的新判定

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School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China

LIU Liang (1997-), male, native of Baoji, Shaanxi, graduate student of Baoji University of Arts and Sciences, engages in numerical algebra; WANG Ya-qiang (1983-), male, native of Baoji, Shaanxi, associate professor of Baoji University of Arts and Sciences, engages in numerical algebra.

收稿日期: 2022-06-26

网络出版日期: 2023-06-30

基金资助

This work is partly supported by the National Natural Science Foundations of China (Grant No. 31600299); The Natural Science Foundation of Shaanxi province (Grant No. 2020JM-622).

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New Criteria for Nonsingular H-Tensors

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School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, China

Received date: 2022-06-26

Online published: 2023-06-30

Supported by

This work is partly supported by the National Natural Science Foundations of China (Grant No. 31600299); The Natural Science Foundation of Shaanxi province (Grant No. 2020JM-622).

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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 introduced firstly. 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

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柳亮, 王亚强 . 非奇异H-张量的新判定[J]. 数学季刊, 2023 , 38(2) : 123 -133 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.02.002

Abstract

Key words： H-tensors; Generalized diagonally dominant; M-tensors

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