3 citations · 5 across the 4 of their papers we have counts for
4 papers
SubalgebraBases in Macaulay2
Michael Burr, Oliver Clarke, Timothy Duff +3
We describe a recently revived version of the software package SubalgberaBases, which is distributed in the Macaulay2 computer algebra system. The package allows the user to comput…
Newton-Okounkov bodies of chemical reaction systems
Nida Obatake, Elise Walker
Despite their noted potential in polynomial-system solving, there are few concrete examples of Newton-Okounkov bodies arising from applications. Accordingly, in this paper, we intr…
Polyhedral Homotopies in Cox Coordinates
Timothy Duff, Simon Telen, Elise Walker +1
We introduce the Cox homotopy algorithm for solving a sparse system of polynomial equations on a compact toric variety . The algorithm lends its name from a construction, desc…
Numerical homotopies from Khovanskii bases
Michael Burr, Frank Sottile, Elise Walker
We present numerical homotopy continuation algorithms for solving systems of equations on a variety in the presence of a finite Khovanskii basis. These take advantage of Anderson's…