 | Double |
Abstract class representing a parameterized functional.
Inheritance HierarchySystemObject
CenterSpace.NMath.CoreDoubleParameterizedFunctional
CenterSpace.NMath.CoreDoubleVectorParameterizedDelegate
CenterSpace.NMath.CoreLagrangianFunction
CenterSpace.NMath.CoreDoubleParameterizedFunctional
CenterSpace.NMath.CoreDoubleVectorParameterizedDelegate
CenterSpace.NMath.CoreLagrangianFunction
Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe DoubleParameterizedFunctional type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | DoubleParameterizedFunctional(DoubleParameterizedFunctional) | Copy constructor. Constructs a deep copy of the given DoubleParameterizedFunctional object. |
| DoubleParameterizedFunctional(Int32) | Constructs a DoubleParameterizedFunctional object with the specified domain dimension. |
Properties| Name | Description | |
|---|---|---|
 | CentralDifferenceDelta | Gets and sets the delta used in the centeral difference method for approximating the gradient with respect to the parameters. |
| XDimension | Gets and sets the dimension of the domain of the functional. |
Methods| Name | Description | |
|---|---|---|
| Clone | Returns a deep copy of the base. Deriving classes must override this method. |
| Evaluate(DoubleVector, DoubleVector) | Evaluates the parameterized function for the given parameter values at the given point. |
| Evaluate(DoubleVector, DoubleMatrix, 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. |
RemarksA parameterized functional
defines a funtion mapping a vector to a real value for each set of parameters. For example:
f(x1, x2: a, b) = a*cos(b*x1) + b*sin(a*x2)
is a parameterized function. For each set of values, a and b, it defines a function of x1, x2. For example if a = 1 and b = 2 then
f(x1, x2) = cos(2*x1) + 2*sin(x2)
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(x1, x2: a, b) described above so that f fits the data points.
f(x1, x2: a, b) = a*cos(b*x1) + b*sin(a*x2)
is a parameterized function. For each set of values, a and b, it defines a function of x1, x2. For example if a = 1 and b = 2 then
f(x1, x2) = cos(2*x1) + 2*sin(x2)
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(x1, x2: a, b) described above so that f fits the data points.
See Also