FunctionMath.GetBackwardDifferentiator Method

Definition

Namespace: Numerics.NET
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3

Overload List

GetBackwardDifferentiator(Func<Double, Double>) Creates a function of one variable that represents the numerical derivative of the specified function of one variable using backward differences.
GetBackwardDifferentiator(Func<Double, Double>, Int32, Int32, Boolean, Double, Double, Double) Creates a function of one variable that represents the numerical derivative of the specified function of one variable using backward differences.

GetBackwardDifferentiator(Func<Double, Double>)

Creates a function of one variable that represents the numerical derivative of the specified function of one variable using backward differences.
C# 
public static Func<double, double> GetBackwardDifferentiator(
	this Func<double, double> targetFunction
)

Parameters

targetFunction  Func<Double, Double>
A delegate that represents a function of one variable.

Return Value

Func<Double, Double>
A delegate that represents a function of one variable that represents the numerical derivative of targetFunction

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, Double>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Remarks

Backward differences are used for the calculation of the derivative.

Exceptions

ArgumentNullException

targetFunction is null.

GetBackwardDifferentiator(Func<Double, Double>, Int32, Int32, Boolean, Double, Double, Double)

Creates a function of one variable that represents the numerical derivative of the specified function of one variable using backward differences.
C# 
public static Func<double, double> GetBackwardDifferentiator(
	this Func<double, double> targetFunction,
	int derivativeOrder,
	int accuracyOrder = 2,
	bool adaptive = false,
	double xMin = -1.79769313486232E+308,
	double xMax = 1.79769313486232E+308,
	double noiseFactor = 10
)

Parameters

targetFunction  Func<Double, Double>
A delegate that represents a function of one variable.
derivativeOrder  Int32
The order of the derivative to compute.
accuracyOrder  Int32  (Optional)
Optional. The accuracy order of the finite difference method. The default is 2.
adaptive  Boolean  (Optional)
Optional. If true, the step size is computed based on the function values around the points where the function's derivative is requested. If false (the default), a default step size is used.
xMin  Double  (Optional)
Optional. The smallest value for which the function may be evaluated. The default is MinValue.
xMax  Double  (Optional)
Optional. The largest value for which the function may be evaluated. The default is MaxValue.
noiseFactor  Double  (Optional)
Optional. An estimate for the noise in the function values relative to the machine precision. The default is 10.

Return Value

Func<Double, Double>
A delegate that returns a numerical approximation to the derivative of order derivativeOrder of targetFunction at its argument.

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type Func<Double, Double>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

Exceptions

ArgumentNullException

targetFunction is null.

ArgumentOutOfRangeException

derivativeOrder is less than zero.

-or-

accuracyOrder is less than one.

See Also