Simultaneous triangularization over max-algebras

Ali M., Askar and Jayaraman, Sachindranath and Mukherjee, Himadri (2026) Simultaneous triangularization over max-algebras. Journal of Algebra and Its Applications. ISSN 0219-4988

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Abstract

The purpose of this paper 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.

Item Type:	Article
Authors:	Ali M., Askar and Jayaraman, Sachindranath and Mukherjee, Himadri
Document Language:	Language English
Subjects:	Social sciences > Education Natural Sciences > Mathematics
Divisions:	Azim Premji University - Bhopal
Full Text Status:	None
URI:	http://publications.azimpremjiuniversity.edu.in/id/eprint/7743
Publisher URL:	https://doi.org/10.1142/S0219498827502410

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