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MonodromySolver :: computeMixedVolume

computeMixedVolume -- compute mixed volume via PHCpack

Synopsis

Description

Computes mixed volume of a polynomial system. For generic systems of a given support set, this is the generic root count.

i1 : setRandomSeed 0;
i2 : R = CC[x,y];
i3 : polys = {x+y^2,x*y+1};
i4 : mixedVol = computeMixedVolume polys;
i5 : sparseMonodromySolve(polySystem polys,TargetSolutionCount=>mixedVol,NumberOfNodes=>3)

o5 = {{.5-.866025*ii, -.5-.866025*ii}, {.5+.866025*ii, -.5+.866025*ii}, {-1,
     ------------------------------------------------------------------------
     1}}

o5 : List

Ways to use computeMixedVolume :