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Journal of inequalities and applications
2018;2018 (1): 257.

Some inequalities for the Fan product of -tensors.

Gang Wang, Yanan Wang, Yuan Zhang
Author Information
  1. Gang Wang: 1School of Management Science, Qufu Normal University, Rizhao, P.R. China.
  2. Yanan Wang: 2School of Management and Economics, Beijing Institute of Technology, Beijing, P.R. China.
  3. Yuan Zhang: 1School of Management Science, Qufu Normal University, Rizhao, P.R. China.
PMID: 30839669 DOI: 10.1186/s13660-018-1853-1

Abstract

In this paper, we investigate some inequalities for the Fan product of -tensors. We propose exact characterizations of -tensors and establish some inequalities on the minimum eigenvalue for the Fan product of two -tensors. Furthermore, the inclusion relations among them are discussed. Numerical examples show the validity of the conclusions.

Keywords

Fan product of M-tensors M-tensors Minimum eigenvalue

References

  1. J Inequal Appl. 2017;2017(1):152 [PMID: 28680255]
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