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arXiv · 2109.13495

Dynamics of Products of Matrices in Max Algebra

S. Jayaraman·Y. K. Prajapaty·S. Sridharan
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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 $p$-lettered word on $N$ letters arising from a finite collection of nonnegative matrices, with each member having its maximum circuit geometric mean at most 1.

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S. Jayaraman, Y. K. Prajapaty, S. Sridharan. 2021-09-28. Dynamics of Products of Matrices in Max Algebra. https://arxiv.org/abs/2109.13495

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