Max-Plus algebra on tensors and its properties

Authors

  • Ali Reza Shojaeifard Department of Mathematics, Faculty of Sciences, Imam Hossein Comprehensive University, Tehran, Islamic Republic of Iran
  • Hamid Reza Afshin Department of Mathematics, Vali-e-Asr University, Rafsanjan, Islamic Republic of Iran
Abstract:

In this paper we generalize the max plus algebra system of real matrices to the class of real tensors and derive its fundamental properties. Also we give some basic properties for the left (right) inverse, under the new system. The existence of order 2 left (right) inverses of tensors is characterized.

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Journal title

volume 3  issue 1

pages  1- 11

publication date 2016-06-01

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