Journal of Inequalities and Applications (2017-02-01)

# New iterative criteria for strong H $\mathcal{H}$ -tensors and an application

• Jingjing Cui,
• Guohua Peng,
• Quan Lu,
• Zhengge Huang

DOI
https://doi.org/10.1186/s13660-017-1323-1
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 16

## Abstract

Abstract Strong H $\mathcal{H}$ -tensors play an important role in identifying the positive definiteness of even-order real symmetric tensors. In this paper, some new iterative criteria for identifying strong H $\mathcal{H}$ -tensors are obtained. These criteria only depend on the elements of the tensors, and it can be more effective to determine whether a given tensor is a strong H $\mathcal{H}$ -tensor or not by increasing the number of iterations. Some numerical results show the feasibility and effectiveness of the algorithm.