Isaac Scientific Publishing

Journal of Advances in Applied Mathematics

Criteria for Nonsingular H-tensors

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

DOI: 10.22606/jaam.2018.32004

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

Tensor is a high-level extension of the matrix, H-tensor is a special tensor and it is a new developed concept in tensor analysis. In this paper, we introduce some definitions and theorems firstly, then establish some implementable criteria in identifying nonsingular H-tensor, and at last give two numerical examples to prove the criteria are reliable.

Keywords

H-tensor, generalized diagonally dominant, M-tensor.

References

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[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.