*Article* **Practical Criteria for** *H***-Tensors and Their Application**

**Min Li, Haifeng Sang \*, Panpan Liu and Guorui Huang**

> School of Mathematics and Statistics, Beihua University, Jilin 132013, China; limin@beihua.edu.cn (M.L.); liupp@beihua.edu.cn (P.L.); shf011@163.com (G.H.)

**\*** Correspondence: sanghaifeng@beihua.edu.cn

**Abstract:** Identifying the positive definiteness of even-order real symmetric tensors is an important component in tensor analysis. H-tensors have been utilized in identifying the positive definiteness of this kind of tensor. Some new practical criteria for identifying H-tensors are given in the literature. As an application, several sufficient conditions of the positive definiteness for an even-order real symmetric tensor were obtained. Numerical examples are given to illustrate the effectiveness of the proposed method.

**Keywords:** H-tensors; real symmetric tensors; positive definiteness; irreducible
