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track(List,List,List) -- track a user homotopy

Synopsis

Description

Polynomial homotopy continuation techniques are used to obtain solutions of the target system given a start system.
i1 : R = CC[x,y];
i2 : S = {x^2-1,y^2-1};
i3 : T = {x^2+y^2-1, x*y};
i4 : solsS = {(1,-1),(1,1),(-1,1),(-1,-1)};
i5 : track(S,T,solsS) / first 

o5 = {{-4.40616e-16, -1}, {1, 1.22819e-15}, {4.40616e-16, 1}, {-1,
     ------------------------------------------------------------------------
     -1.22819e-15}}

o5 : List

Caveat

Predictor=>ProjectiveNewton works only with Software=>M2 and Normalize=>true