TY - JOUR
T1 - On the Z-Eigenvalue Bounds for a Tensor
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 810
EP - 826
PY - 2018
DA - 2018/06
SN - 11
DO - http://doi.org/10.4208/nmtma.2018.s08
UR - https://global-sci.org/intro/article_detail/nmtma/12474.html
KW - 
AB - <p style="text-align: justify;">In this paper, we first propose a $Z_p$-eigenvalue of a tensor, which includes
the $Z_1$- and $Z_2$-eigenvalue as its special case, and then present a $Z_p$-eigenvalue bound.
In particular, we give a $Z$-spectral radius bound for an irreducible nonnegative tensor
via the spectral radius of a nonnegative matrix. The proposed bounds improve some
existing ones. Some numerical examples are given to show the validity of the proposed
bounds.</p>