TY - JOUR
ID - 30023
TI - On Some Properties of the Max Algebra System Over Tensors
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Shojaeifard, Ali Reza
AU - Afshin, Hamid Reza
AD - Department of Mathematics and Statistics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran.
AD - Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran.
Y1 - 2018
PY - 2018
VL - 12
IS - 1
SP - 1
EP - 14
KW - Tensor
KW - Max algebra
KW - Left (right) inverse
KW - Direct Product
KW - Eigenvalue
DO - 10.22130/scma.2018.30023
N2 - 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.
UR - https://scma.maragheh.ac.ir/article_30023.html
L1 - https://scma.maragheh.ac.ir/article_30023_8488dc3d5ca759a228ad5df74c6ba29b.pdf
ER -