setDefault -- set/get the default parameters for continuation algorithms

Synopsis

• Usage:

  setDefault(p1=>v1, p2=>v2, ...), v = getDefault p

• Inputs:
  • p, p1, p2, Symbol(s), the name(s) of parameter(s)
• Optional inputs:
  • Attempts => ..., default value null, (meaning Attempts = 5). The maximal number of attempts (e.g., to make a random regular homotopy).
  • SingularConditionNumber => ..., default value null, (meaning SingularConditionNumber = 100000). Matrix is considered to be singular if its condition number is greater than this value.
  • Precision => ..., default value null, (meaning bits of precision)
  • AffinePatches => ..., default value null, reserved for developers
  • Bits => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • CorrectorTolerance => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • EndZoneFactor => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • ErrorTolerance => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • gamma => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • InfinityThreshold => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • Iterations => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • maxCorrSteps => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • MultistepDegree => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • NoOutput => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • Normalize => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • numberSuccessesBeforeIncrease => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • Predictor => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • Projectivize => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • ResidualTolerance => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • SLP => ..., default value null, reserved for developers
  • SLPcorrector => ..., default value null, reserved for developers
  • SLPpredictor => ..., default value null, reserved for developers
  • Software => ..., default value null, specify internal or external software
  • stepIncreaseFactor => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • tDegree => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • Tolerance => ..., default value null, specifies the tolerance of a numerical computation
  • tStep => ..., default value null, options for core functions of Numerical Algebraic Geometry
  • tStepMin => ..., default value null, options for core functions of Numerical Algebraic Geometry
• Outputs:
  • setDefault returns null.
  • getDefault returns v, the value of the specified parameter p.

Description

To see a detailed description of an option click on its name.

These functions set/get values of optional parameters used in the functions track, solveSystem, refine as well as higher-level functions (that are under construction).

i1 : getDefault Predictor

o1 = RungeKutta4

o1 : Symbol

i2 : setDefault(Predictor=>Euler, CorrectorTolerance=>1e-10)

i3 : getDefault Predictor  

o3 = Euler

o3 : Symbol

See also

• track -- track a linear segment homotopy given start and target system
• solveSystem -- solve a system of polynomial equations
• refine -- refine numerical solutions to a system of polynomial equations
• areEqual -- determine if solutions are equal