DoubleParameterizedFunction Class

Abstract class representing a parameterized function.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreDoubleParameterizedFunction
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Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

C++

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[SerializableAttribute]
public abstract class DoubleParameterizedFunction : ICloneable

<SerializableAttribute>
Public MustInherit Class DoubleParameterizedFunction
	Implements ICloneable

[SerializableAttribute]
public ref class DoubleParameterizedFunction abstract : ICloneable

[<AbstractClassAttribute>]
[<SerializableAttribute>]
type DoubleParameterizedFunction = 
    class
        interface ICloneable
    end

The DoubleParameterizedFunction type exposes the following members.

Constructors

	Name	Description
	DoubleParameterizedFunction	Constructs a DoubleParameterizedFunction object.
	DoubleParameterizedFunction(Double)	Constructs a DoubleParameterizedFunction object with the given delta to use in the centeral difference method for approximating the gradient with respect to the parameters.
	DoubleParameterizedFunction(DoubleParameterizedFunction)	Copy constructor. Creates a copy of another DoubleParameterizedFunction.

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Properties

	Name	Description
	CentralDifferenceDelta	Gets and sets the delta used in the centeral difference method for approximating the gradient with respect to the parameters.

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Methods

	Name	Description
	Clone	Returns a deep copy of the base. Deriving classes must override this method.
	Evaluate(DoubleVector, Double)	Evaluates the parameterized function for the given parameter values at the given point.
	Evaluate(DoubleVector, DoubleVector, DoubleVector)	Evaluates the parameterized function for the given parameter values at the given set of points.
	GradientWithRespectToParams	Method for calculating the gradient with respect to the parameters while keeping x fixed at the specified value.

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Remarks

A parameterized function defines a funtion for each set of parameters. For example:
f(x: a, b) = a*cos(b*x) + b*sin(a*x)
is a parameterized function. For each set of values, a and b, it defines a function of x. For example if a = 1 and b = 2 then
f(x) = cos(2*x) + 2*sin(x).
Parameterized function are used by curve fitting routines and solve the following problem -
Suppose I have a set of points (xi, yi), i = 1...n, and I want to determine the values of a and b in the above parameterized function f(x: a, b) so that the resulting function f(x) best fits the data points.

Reference

CenterSpace.NMath.Core Namespace

Inheritance Hierarchy

SystemObject
  CenterSpace.NMath.CoreDoubleParameterizedFunction
    CenterSpace.NMath.CoreDoubleParameterizedDelegate
    CenterSpace.NMath.CoreNMathFunctionsFiveParameterLogisticFtn
    CenterSpace.NMath.CoreNMathFunctionsFourParameterLogisticFtn
    CenterSpace.NMath.CoreNMathFunctionsThreeParameterExponentialFtn
    CenterSpace.NMath.CoreNMathFunctionsThreeParameterSineFtn
    CenterSpace.NMath.CoreNMathFunctionsTwoParameterAsymptoticFtn