Zhou Lixin, Liu Jianzhou, Zhu Li
School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411105 P.R. China.
Faculty of Science, Guilin University of Aerospace Technology, Guilin, Guangxi 541004 P.R. China.
J Inequal Appl. 2017;2017(1):231. doi: 10.1186/s13660-017-1499-4. Epub 2017 Sep 20.
In this paper, we investigate the closure property of [Formula: see text]-tensors under the Hadamard product. It is shown that the Hadamard products of Hadamard powers of strong [Formula: see text]-tensors are still strong [Formula: see text]-tensors. We then bound the minimal real eigenvalues of the comparison tensors of the Hadamard products involving strong [Formula: see text]-tensors. Finally, we show how to attain the bounds by characterizing these [Formula: see text]-tensors.
在本文中，我们研究了[公式：见正文]张量在哈达玛积下的封闭性质。结果表明，强[公式：见正文]张量的哈达玛幂的哈达玛积仍是强[公式：见正文]张量。然后，我们对涉及强[公式：见正文]张量的哈达玛积的比较张量的最小实特征值进行了界定。最后，我们通过刻画这些[公式：见正文]张量来说明如何达到这些界。
