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math.AG2018
Certification for Polynomial Systems via Square Subsystems
Timothy Duff, Nickolas Hein, Frank Sottile
We consider numerical certification of approximate solutions to a system of polynomial equations with more equations than unknowns by first certifying solutions to a square subsyst…
cs.SC2018
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…