solveGenericSystemInTorus(List) -- solve a generic system of sparse polynomial equations in the torus

Synopsis

• Function: solveGenericSystemInTorus
• Usage:
s = solveGenericSystemInTorus F
• Inputs:
• F, a list, contains polynomials with complex coefficients
• Outputs:
• s, contains all complex solutions in the torus (i.e., with no zero coordinates) to G=0, where G is a generic system with the same monomial support as F

Description

Polyhedral homotopy approach is used to compute the solutions in the torus. The number of the solutions equals the mixed volume of the Newton polytopes of polynomials in F.

Caveat

PHCpack needs to be installed.