title: Bounds for the Z-spectral radius of nonnegative tensors.
abstract: In this paper, we have proposed some new upper bounds for the largest Z-eigenvalue of an irreducible weakly symmetric and nonnegative tensor, which improve the known upper bounds obtained in Chang et al. (Linear Algebra Appl 438:4166-4182, 2013), Song and Qi (SIAM J Matrix Anal Appl 34:1581-1595, 2013), He and Huang (Appl Math Lett 38:110-114, 2014), Li et al. (J Comput Anal Appl 483:182-199, 2015), He (J Comput Anal Appl 20:1290-1301, 2016).
authors: School of Mathematics, Zunyi Normal College, Zunyi, 563002 Guizhou People's Republic of China.
authors: Jun
authors: J
authors: He
authors: School of Mathematics, Zunyi Normal College, Zunyi, 563002 Guizhou People's Republic of China.
authors: Yan-Min
authors: YM
authors: Liu
authors: School of Mathematics, Zunyi Normal College, Zunyi, 563002 Guizhou People's Republic of China.
authors: Hua
authors: H
authors: Ke
authors: School of Mathematics, Zunyi Normal College, Zunyi, 563002 Guizhou People's Republic of China.
authors: Jun-Kang
authors: JK
authors: Tian
authors: School of Mathematics, Zunyi Normal College, Zunyi, 563002 Guizhou People's Republic of China.
authors: Xiang
authors: X
authors: Li
keywords: Bound; Nonnegative tensor; Z-eigenvalue