Shojaeifard, A., Afshin, H. (2018). On some properties of the max algebra system over tensors. Sahand Communications in Mathematical Analysis, (), -. doi: 10.22130/scma.2018.30023

Ali Reza Shojaeifard; Hamid Reza Afshin. "On some properties of the max algebra system over tensors". Sahand Communications in Mathematical Analysis, , , 2018, -. doi: 10.22130/scma.2018.30023

Shojaeifard, A., Afshin, H. (2018). 'On some properties of the max algebra system over tensors', Sahand Communications in Mathematical Analysis, (), pp. -. doi: 10.22130/scma.2018.30023

Shojaeifard, A., Afshin, H. On some properties of the max algebra system over tensors. Sahand Communications in Mathematical Analysis, 2018; (): -. doi: 10.22130/scma.2018.30023

On some properties of the max algebra system over tensors

Articles in Press, Accepted Manuscript , Available Online from 06 February 2018

^{1}Department of Mathematics and Statistics, Faculty of Basic Sciences, Imam Hossein Comprehensive University, Tehran, Iran.

^{2}Department of Mathematics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan, Islamic Republic of Iran.

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.