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arXiv · 2510.07855

Simultaneous triangularization over max-algebras

Askar Ali M·Sachindranath Jayaraman·Himadri Mukherjee
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Abstract

The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a connection between commutators and commutants with simultaneous triangularization over max algebras. We also define the notion of characteristic polynomial of a collection in terms of the tropical determinant and determine when it can be written as a product of linear terms. Algorithms for all of the above are also brought out.

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Askar Ali M, Sachindranath Jayaraman, Himadri Mukherjee. 2025-10-09. Simultaneous triangularization over max-algebras. https://arxiv.org/abs/2510.07855

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