Some new criteria for judging H-tensors and their applications

Autor: Wenbin Gong, Yaqiang Wang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 4, Pp 7606-7617 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023381?viewType=HTML
Popis: H-tensors play a key role in identifying the positive definiteness of even-order real symmetric tensors. Some criteria have been given since it is difficult to judge whether a given tensor is an H-tensor, and their range of judgment has been limited. In this paper, some new criteria, from an increasing constant k to scale the elements of a given tensor can expand the range of judgment, are obtained. Moreover, as an application of those new criteria, some sufficient conditions for judging positive definiteness of even-order real symmetric tensors are proposed. In addition, some numerical examples are presented to illustrate those new results.
Databáze: Directory of Open Access Journals