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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 = {{1.65895e-15-1.08205e-15*ii, -1}, {-1, -6.74294e-16+1.13306e-15*ii},
     ------------------------------------------------------------------------
     {1, 7.15928e-16-1.11571e-15*ii}, {-1.65895e-15+1.08205e-15*ii, 1}}

o3 : List

Caveat

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