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solveSystem(List) -- solve a square system of polynomial equations

Synopsis

Description

Solve a system of polynomial equations using homotopy continuation methods.
i1 : R = CC[x,y];
i2 : F = {x^2+y^2-1, x*y};
i3 : solveSystem F / first                                

o3 = {{2.3468e-16-1.2767e-15*ii, -1}, {-1, 1.03632e-15+4.1953e-16*ii}, {1,
     ------------------------------------------------------------------------
     -9.98151e-16-4.95858e-16*ii}, {-2.76314e-16+1.34088e-15*ii, 1}}

o3 : List

Caveat

The system is assumed to be square (#equations = #variables) and have finitely many solutions.