# Journal of Advances in Applied Mathematics

### Criteria for Nonsingular *H*-tensors

Download PDF (346.8 KB) PP. 66 - 72 Pub. Date: April 12, 2018

### Author(s)

**Ge Li**

School of Information Sci. and Tech., Qingdao University of Science and Technology, Qingdao, China**Yuncui Zhang**

Division of Mathematics, Qingdao University of Science and Technology, Qingdao, China**Yan Feng**^{*}

School of Information Sci. and Tech., Qingdao University of Science and Technology, Qingdao, China

### Abstract

### Keywords

### References

[1] T. G. Kolda and B. W. Bader, “Tensor decompositions and applications,” SIAM Review, 51 (2009), pp. 455-500.

[2] W. Y. Ding, L. Q. Qi and Y. M. Wei, “M-tensors and nonsingular M-tensors,” Linear Algebra Appl., 439 (2013), pp. 3264-3278.

[3] M. R. Kannan, N. Shaked-Monderer and A. Berman,“Some properties of strong H-tensors and general H-tensors ,” Linear Algebra Appl., 476 (2015), pp. 42-55.

[4] L. P. Zhang, L. Q. Qi and G. L. Zhou, “M-tensors and some applications,” SIAM J Matrix Anal App.l, 35 (2014), pp. 437-452.

[5] Li C, Wang F, Zhao J, Zhu Y and Li Y, “Criterions for the positive definiteness of real supersymmetric tensors,” J Comput Appl Math, 255 (2014), pp. 1-14.