New methods based H-tensors for identifying the positive definiteness of multivariate homogeneous forms

New methods based H-tensors for identifying the positive definiteness of multivariate homogeneous forms

Positive definite polynomials are important in the field of optimization. H-tensors play an important role in identifying the positive definiteness of an even-order homogeneous multivariate form. In this paper, we propose some new criterion for identifying H-tensor. As applications, we give new cond...

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Bibliographic Details
Main Authors: Dongjian Bai, Feng Wang
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
homogeneous multivariate form
positive definiteness
h-tensors
irreducible
non-zero element chain
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021595?viewType=HTML
Description
Summary:Positive definite polynomials are important in the field of optimization. H-tensors play an important role in identifying the positive definiteness of an even-order homogeneous multivariate form. In this paper, we propose some new criterion for identifying H-tensor. As applications, we give new conditions for identifying positive definiteness of the even-order homogeneous multivariate form. At last, some numerical examples are provided to illustrate the efficiency and validity of new methods.
ISSN:2473-6988

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