Wang Gang, Wang Yanan, Zhang Yuan
1School of Management Science, Qufu Normal University, Rizhao, P.R. China.
2School of Management and Economics, Beijing Institute of Technology, Beijing, P.R. China.
J Inequal Appl. 2018;2018(1):257. doi: 10.1186/s13660-018-1853-1. Epub 2018 Sep 24.
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.
在本文中，我们研究了关于 - 张量的Fan积的一些不等式。我们给出了 - 张量的精确刻画，并建立了两个 - 张量的Fan积的最小特征值的一些不等式。此外，还讨论了它们之间的包含关系。数值例子表明了结论的有效性。
