ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

On Some Properties of the Max Algebra System Over Tensors

Journal: Sahand Communications in Mathematical Analysis (Vol.12, No. 1)

Publication Date:

Authors : ; ;

Page : 1-14

Keywords : ‎Tensor; Max algebra; Left (right) inverse; Direct Product; Eigenvalue;

Source : Download Find it from : Google Scholarexternal


Recently we generalized the max algebra system to the class of nonnegative  tensors. In this paper we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverse of tensors is characterized. Also we generalize the direct product of matrices to the direct product of tensors (of the same order, but may be different dimensions) and investigate its properties relevant to the spectral theory.

Last modified: 2019-04-28 14:10:01