@Article{NMTMA-11-810, author = {Wen Li, Weihui Liu and Seakweng Vong}, title = {On the Z-Eigenvalue Bounds for a Tensor}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2018}, volume = {11}, number = {4}, pages = {810--826}, abstract = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2018.s08}, url = {http://global-sci.org/intro/article_detail/nmtma/12474.html} }