On Some Properties of the Max Algebra System Over Tensors
Journal: Sahand Communications in Mathematical Analysis (Vol.12, No. 1)Publication Date: 2018-11-01
Authors : Ali Reza Shojaeifard; Hamid Reza Afshin;
Page : 1-14
Keywords : Tensor; Max algebra; Left (right) inverse; Direct Product; Eigenvalue;
Abstract
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.
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Last modified: 2019-04-28 14:10:01