@article{Gong2023, 
author = {Wenbin Gong and Yaqiang Wang},
title = {Some new criteria for judging        H  -tensors and their applications},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {7606-7617},
keywords = {H-tensor, judging range, positive diagonal matrix, symmetric tensor, positive definiteness},
url = {https://www.sciopen.com/article/10.3934/math.2023381},
doi = {10.3934/math.2023381},
abstract = {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.}
}