4 papers
On matrix polynomials and the joint spectral radius over max-algebras
Askar Ali M, Sachindranath Jayaraman
Our aim is to study matrix polynomials over max-algebras and their growth in terms of max-induced seminorms. In particular, we compare the set growth of a bounded family of ma…
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…
Lie's Theorem for Supertropical Algebra
Himadri Mukherjee, Askar Ali M
The aim of this paper is to prove a version of Lie's theorem for the supertropical algebra.
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…