Wang Yanan, Wang Gang
School of Management Science, Qufu Normal University, Rizhao, Shandong 276826 P.R. China.
J Inequal Appl. 2017;2017(1):152. doi: 10.1186/s13660-017-1428-6. Epub 2017 Jun 27.
In this paper, we present two -type -eigenvalue inclusion sets involved with a nonempty proper subset of for general tensors. It is shown that the new sets are tighter than those provided by Wang (Discrete Contin. Dyn. Syst., Ser. B 22(1):187-198, 2017). Furthermore, we obtain upper bounds for the spectral radius of weakly symmetric nonnegative tensors, which are sharper than existing results.
在本文中，我们针对一般张量给出了与非空真子集相关的两类特征值包含集。结果表明，这些新的集合比Wang（《离散与连续动力系统，B辑》22(1):187 - 198, 2017）所提供的集合更紧。此外，我们得到了弱对称非负张量谱半径的上界，这些上界比现有结果更精确。
