Dynamics of Products of Matrices in Max Algebra
Dynamical Systems
2021-09-29 v1
Abstract
The aim of this manuscript is to understand the dynamics of matrix products in a max algebra. A consequence of the Perron-Fr\"{o}benius theorem on periodic points of a nonnegative matrix is generalized to a max algebra setting. The same is then studied for a finite product associated to a -lettered word on letters arising from a finite collection of nonnegative matrices, with each member having its maximum circuit geometric mean at most 1.
Keywords
Cite
@article{arxiv.2109.13495,
title = {Dynamics of Products of Matrices in Max Algebra},
author = {S. Jayaraman and Y. K. Prajapaty and S. Sridharan},
journal= {arXiv preprint arXiv:2109.13495},
year = {2021}
}