160 citations · 306 across the 12 of their papers we have counts for
15 papers
Smale's 6th problem for generic masses
Anders N. Jensen, Anton Leykin
We give a new method to attempt to prove that, for a given , there are finitely many equivalence classes of planar central configurations in the Newtonian -body problem for g…
Computing Tropical Prevarieties in Parallel
Anders Jensen, Jeff Sommars, Jan Verschelde
The computation of the tropical prevariety is the first step in the application of polyhedral methods to compute positive dimensional solution sets of polynomial systems. In partic…
Solving polynomial systems via homotopy continuation and monodromy
Timothy Duff, Cvetelina Hill, Anders Jensen +3
We study methods for finding the solution set of a generic system in a family of polynomial systems with parametric coefficients. We present a framework for describing monodromy ba…
Finding binomials in polynomial ideals
Anders Jensen, Thomas Kahle, Lukas Katthän
We describe an algorithm which finds binomials in a given ideal and in particular decides whether binomials exist in at all. Binomials in po…
Tropical Homotopy Continuation
Anders Nedergaard Jensen
Inspired by numerical homotopy methods we propose a combinatorial homotopy algorithm for finding all isolated solutions to a tropical polynomial systems of n tropical polynomials i…
Computing tropical curves via homotopy continuation
Anders Jensen, Anton Leykin, Josephine Yu
Exploiting a connection between amoebas and tropical curves, we devise a method for computing tropical curves using numerical algebraic geometry and give an implementation. As an a…