非奇异H-张量的新判定

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

数学季刊 ›› 2023, Vol. 38 ›› Issue (2): 123-133.doi: 10.13371/j.cnki.chin.q.j.m.2023.02.002

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非奇异H-张量的新判定

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

收稿日期:2022-06-26 出版日期:2023-06-30 发布日期:2023-06-30
通讯作者: WANG Ya-qiang (1983-), male, native of Baoji, Shaanxi, associate professor of Baoji University of Arts and Sciences, engages in numerical algebra. E-mail: yaqiangwang1004@163.com
作者简介: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.
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).

New Criteria for Nonsingular H-Tensors

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

Received:2022-06-26 Online:2023-06-30 Published:2023-06-30
Contact: WANG Ya-qiang (1983-), male, native of Baoji, Shaanxi, associate professor of Baoji University of Arts and Sciences, engages in numerical algebra. E-mail: yaqiangwang1004@163.com
About author: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.
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).

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O151.2

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.

LIU Liang, WANG Ya-qiang. New Criteria for Nonsingular H-Tensors[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(2): 123-133.

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非奇异H-张量的新判定

New Criteria for Nonsingular H-Tensors

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