Independence and orthogonality of algebraic eigenvectors over the max-plus algebra

Yuki Nishida, Sennosuke Watanabe, Yoshihide Watanabe

The max-plus algebra $\mathbb{R}\cup \{-\infty \}$ is a semiring with the two operations: addition $a\oplus b:=\max (a,b)$ and multiplication $a\otimes b:=a+b$. Roots of the…