**5. Conclusions**

In this paper, several practical criteria for identifying H-tensors were given. These criteria only depend on the self-constituent elements of the tensors. Therefore, they are easy to implement. Based on the above criteria, we also gave the corresponding algorithm to determine the H-tensor.

**Author Contributions:** M.L. and H.S. presented the idea and algorithms as supervisors. P.L. contributed to the preparation of the paper. G.H. contributed to the implementation of the algorithm. All authors have read and agreed to the submitted version of the manuscript.

**Funding:** This research was funded by the Jilin Province Department of Education, Science and Technology research project under Grant JJKH20220041KJ, the 13th Five-Year Plan of Educational Science in Jilin Province under Grant GH19057, and the National Natural Science Foundations of China (11171133).

**Institutional Review Board Statement:** Not applicable.

**Informed Consent Statement:** Not applicable.

**Data Availability Statement:** Not applicable.

**Acknowledgments:** The authors would like to express their gratitude to the Editor for his assistance, as well as the anonymous respected reviewers for providing insightful suggestions.

**Conflicts of Interest:** The authors declare no conflict of interest.
