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[../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/M2-23236-0/2
 -- .00390352s elapsed
  H01: 1
 -- .00382671s elapsed
  H10: 1
 -- .000715715s elapsed
number of paths tracked: 2
found 1 points in the fiber so far
 -- .00399258s elapsed
  H01: 1
 -- .00408337s elapsed
  H10: 1
 -- .000619154s elapsed
number of paths tracked: 4
found 1 points in the fiber so far
 -- .00373861s elapsed
  H01: 1
 -- .00376889s elapsed
  H10: 1
 -- .000591704s elapsed
number of paths tracked: 6
found 1 points in the fiber so far
 -- .0036893s elapsed
  H01: 1
 -- .00369325s elapsed
  H10: 1
 -- .000659443s 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.m2:629:0.