3 citations · 6 across the 6 of their papers we have counts for
3 papers · 1 filter
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…
Decomposable sparse polynomial systems
Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile +1
The Macaulay2 package DecomposableSparseSystems implements methods for studying and numerically solving decomposable sparse polynomial systems. We describe the structure of decompo…
Solving Decomposable Sparse Systems
Taylor Brysiewicz, Jose Israel Rodriguez, Frank Sottile +1
Amendola et al. proposed a method for solving systems of polynomial equations lying in a family which exploits a recursive decomposition into smaller systems. A family of systems a…