Spectral Equality for Tropical Totally Nonnegative Matrices: Dominant Cancellation and Newton Polygons

Mohammadrahim Saeidi Dahaki, Seyed Mahmoud Manjegani

Let $\mathbf{A}$ be a totally nonnegative matrix over a real closed non-Archimedean valued field, and suppose that its valuation $A$ is tropically totally nonnegative. Although the…