# 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.

## See also

• PHCPACK -- use PHCpack for homotopy continuation
• PHCpack -- a package for Polynomial Homotopy Continuation
• solveSystem -- solve a system of polynomial equations