![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
Let and
be two order m dimension n tensors. The Hadamard product
is an order m dimension n tensor with entries
. For nonnegative tensors
and
, we obtain some bounds on spectral radius of
in terms of spectral radius and entries of
and
. We give some inequalities for the minimum eigenvalue and determinant of the Hadamard product involving M-tensors and Z-tensors, and use them to derive some criteria of M-tensors.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work is supported by the National Natural Science Foundation of China [grant number 11371109] and [grant number 11601102], the Research Grants Council (RGC) of Hong Kong [project number C1007-15G].