|FunctionMathFindMaximum Method (FuncDouble, Double, Double, EvaluationSettings)|
public static Extremum FindMaximum( Func<double, double> f, double x, EvaluationSettings settings )
Public Shared Function FindMaximum ( f As Func(Of Double, Double), x As Double, settings As EvaluationSettings ) As Extremum
public: static Extremum^ FindMaximum( Func<double, double>^ f, double x, EvaluationSettings^ settings )
static member FindMaximum : f : Func<float, float> * x : float * settings : EvaluationSettings -> Extremum
When you supply settings, note that the supplied RelativePrecision and AbsolutePrecision values refer to argument (i.e. x) values, not function (i.e. f) values. Note also that, for typical functions, the best attainable relative precision is of the order of the square root of machine precision (about 10-7), i.e. half the number of digits in a Double. This is because to identify an extremum we need to resolve changes in the function value, and near an extremum δf ∼ (δx)2, so changes in the function value δf ∼ ε correspond to changes in the argument value δx ∼ √ε. If you supply zero values for both precision settings, the method will adaptively approximate the best attainable precision for the supplied function and locate the extremum to that resolution. This is our suggested practice unless you know that you require a less precise determination.