Title of article
On Some Properties of the Max Algebra System Over Tensors
Author/Authors
Shojaeifard ، Ali Reza - Imam Hossein Comprehensive University , Afshin ، Hamid Reza - Vali-e-Asr University of Rafsanjan
Pages
14
From page
1
To page
14
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.
Keywords
Tensor , Max algebra , Left (right) inverse , Direct Product , Eigenvalue
Journal title
Sahand Communications in Mathematical Analysis
Serial Year
2018
Journal title
Sahand Communications in Mathematical Analysis
Record number
2454873
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