| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4598567 | Linear Algebra and its Applications | 2016 | 22 Pages |
Abstract
We study tropical commuting matrices from two viewpoints: linear algebra and algebraic geometry. In classical linear algebra, there exist various criteria to test whether two square matrices commute. Similarly, in the realm of tropical linear algebra, we determine conditions for two tropical matrices that are Kleene stars to commute. Shifting to an algebro-geometric perspective, we explicitly compute the tropicalization of the classical variety of commuting matrices in dimensions 2 and 3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ralph Morrison, Ngoc M. Tran,