most citedPolyhedral Homotopies in Cox Coordinates

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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…

math.AG2020

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…