38 citations · 89 across the 29 of their papers we have counts for
3 papers · 1 filter
Solving Parameterized Polynomial Systems with Decomposable Projections
Carlos Améndola, Julia Lindberg, Jose Israel Rodriguez
The Galois group of a parameterized polynomial system of equations encodes the structure of the solutions. This monodromy group acts on the set of solutions for a general set of pa…
Trace test
Anton Leykin, Jose Israel Rodriguez, Frank Sottile
The trace test in numerical algebraic geometry verifies the completeness of a witness set of an irreducible variety in affine or projective space. We give a brief derivation of the…
Numerical computation of Galois groups
Jonathan D. Hauenstein, Jose Israel Rodriguez, Frank Sottile
The Galois/monodromy group of a family of geometric problems or equations is a subtle invariant that encodes the structure of the solutions. Computing monodromy permutations using…