17 citations · 115 across the 43 of their papers we have counts for
3 papers · 1 filter
Monodromy Solver: Sequential and Parallel
Nathan Bliss, Timothy Duff, Anton Leykin +1
We describe, study, and experiment with an algorithm for finding all solutions of systems of polynomial equations using homotopy continuation and monodromy. This algorithm follows…
Stillman's conjecture via generic initial ideals
Jan Draisma, Michal Lason, Anton Leykin
Using recent work by Erman-Sam-Snowden, we show that finitely generated ideals in the ring of bounded-degree formal power series in infinitely many variables have finitely generate…
Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm
Anton Leykin, Abraham Martin del Campo, Frank Sottile +2
We develop the Littlewood-Richardson homotopy algorithm, which uses numerical continuation to compute solutions to Schubert problems on Grassmannians and is based on the geometric…