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

• Main Authors: Jingjing Cui, Guohua Peng, Quan Lu, Zhengge Huang
• Format: Article
• Language: English
• Published: SpringerOpen 2017-02-01
• Series: Journal of Inequalities and Applications
• Subjects: strong H $\mathcal{H}$ -tensors; positive definiteness; irreducible; non-zero elements chain
• Online Access: http://link.springer.com/article/10.1186/s13660-017-1323-1

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.