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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 = {{-1.50154e-15+6.49142e-16*ii, -1}, {-1, 9.0806e-17-1.20499e-15*ii}, {1,
     ------------------------------------------------------------------------
     -1.46317e-16+1.12867e-15*ii}, {1.51672e-15-7.36312e-16*ii, 1}}

o3 : List

Caveat

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