solveFamily -- a solver for parametric families with simple output

Description

The output of monodromySolve is opaque. This method is intended for users uninterested in the underlying HomotopyGraph and its satellite data. When the number of solutions is small, it can help to increase options like NumberOfNodes or NumberOfEdges above their default value, as shown here:

 i1 : setRandomSeed 0 o1 = 0 i2 : R = CC[a,b,c,d,e,f][x,y]; i3 : q = a*x^2+b*y+c; i4 : l = d*x+e*y+f; i5 : (sys, sols) = solveFamily(polySystem{q,l}, NumberOfNodes=>3) o5 = (sys, {{1.7698-.292574*ii, 2.03236+1.25703*ii}, PointArray( 2 points: 1 ------------------------------------------------------------------------ 0 ), {-.770087+.316588*ii, .35355-.743892*ii}}) o5 : Sequence

Ways to use solveFamily :

• "solveFamily(Point,System)"
• "solveFamily(System)"

For the programmer

The object solveFamily is .