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math.RA2026
Simultaneous triangularization over max-algebras
Askar Ali M, Sachindranath Jayaraman, Himadri Mukherjee
The purpose of this article is to investigate triangularization and simultaneous triangularization of matrices over max algebras using graph theoretic methods. We establish a conne…
math.RA2024
A Canonical Form for Max Plus Symmetric Matrices and Applications
Himadri Mukherjee, Askar Ali M
We develop a canonical form for congruence of max plus symmetric matrices. We use the same canonical form to get results in the generalized eigenvector problem. We have also utiliz…
math.RA2024
Tropical Matrix Exponential
Askar Ali M, Himadri Mukherjee
In this article, we introduce an exponential for tropical matrices and show that this series is essential for the analysis of certain kinds of stability in discrete event dynamic s…