2 citations · 2 across the 2 of their papers we have counts for
4 papers
Using monodromy to statistically estimate the number of solutions
Jonathan D. Hauenstein, Samantha N. Sherman
Synthesis problems for linkages in kinematics often yield large structured parameterized polynomial systems which generically have far fewer solutions than traditional upper bounds…
Probabilistic Saturations and Alt's Problem
Jonathan D. Hauenstein, Martin Helmer
Alt's problem, formulated in 1923, is to count the number of four-bar linkages whose coupler curve interpolates nine general points in the plane. This problem can be phrased as cou…
A numerical toolkit for multiprojective varieties
Jonathan D. Hauenstein, Anton Leykin, Jose Israel Rodriguez +1
A numerical description of an algebraic subvariety of projective space is given by a general linear section, called a witness set. For a subvariety of a product of projective space…
Certifiable Numerical Computations in Schubert Calculus
Jonathan D. Hauenstein, Nickolas Hein, Frank Sottile
Traditional formulations of geometric problems from the Schubert calculus, either in Plucker coordinates or in local coordinates provided by Schubert cells, yield systems of polyno…