dynamicFlowerSolve -- a naive dynamic strategy

Usage:

(L, npaths) = dynamicFlowerSolve(M,p0,L)
Inputs:
- M, a matrix, defining polynomial system
- p0, a point, associated to a specialized system
- L, a list, containing partial solutions associated to p0
Optional inputs:
- RandomPointFunction (missing documentation) => ..., default value null,
- StoppingCriterion => ..., default value FunctionClosure[../../../../../Macaulay2/packages/MonodromySolver/solveViaMonodromy.m2:110:110-110:120],
- TargetSolutionCount (missing documentation) => ..., default value null,
Outputs:
- L, a list,
- npaths, an integer,

Description

Output is verbose. For other dynamic strategies, see MonodromySolverOptions.

i1 : R = CC[a,b,c,d][x,y];

i2 : polys = polySystem {a*x+b*y^2,c*x*y+d};

i3 : (p0, x0) = createSeedPair polys;

i4 : (L, npaths) = dynamicFlowerSolve(polys.PolyMap,p0,{x0})
--backup directory created: /tmp/M2-79810-0/2
 -- .00254302s elapsed
  H01: 1
 -- .0023422s elapsed
  H10: 1
 -- .000499134s elapsed
number of paths tracked: 2
found 1 points in the fiber so far
 -- .00232837s elapsed
  H01: 1
 -- .00238257s elapsed
  H10: 1
 -- .000402113s elapsed
number of paths tracked: 4
found 1 points in the fiber so far
 -- .00230975s elapsed
  H01: 1
 -- .00233712s elapsed
  H10: 1
 -- .000390242s elapsed
number of paths tracked: 6
found 1 points in the fiber so far
 -- .00230863s elapsed
  H01: 1
 -- .0023236s elapsed
  H10: 1
 -- .00039655s elapsed
number of paths tracked: 8
found 1 points in the fiber so far

o4 = ({{.892712+.673395*ii, .29398+.632944*ii}}, 8)

o4 : Sequence

For the programmer

The object dynamicFlowerSolve is a method function with options.

The source of this document is in MonodromySolver/Documentation.m2:603:0.