 | Parameterized |
Abstract class representing multi-variable a parameterized function.
Inheritance HierarchySystemObject
CenterSpace.NMath.CoreParameterizedMultivariableFunction
CenterSpace.NMath.CoreMultipleCurveFitFunction
CenterSpace.NMath.CoreParameterizedMultivariableFunction
CenterSpace.NMath.CoreMultipleCurveFitFunction
Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe ParameterizedMultivariableFunction type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | ParameterizedMultivariableFunction | Behaviour of constructed object is undefined. |
 | ParameterizedMultivariableFunction(Int32, Int32, Int32) | Constructs a ParameterizedMultivariableFunction with the given number of parameters, x (domain) and y (range) dimensions. |
| ParameterizedMultivariableFunction(Int32, Int32, Int32, Double) | Constructs a ParameterizedMultivariableFunction with the given number of parameters, x (domain), y (range) dimensions, and central difference delta. |
Properties| Name | Description | |
|---|---|---|
 | CentralDifferenceDelta | The delta used in the central difference algorithm for computing the Jacobian with respect to the parameters |
| NumberOfParameters | Gets and sets the number of parameters. |
| Xdimension | Gets and sets the dimension of the function domain. Vector arguments to the function must have length equal to this value. |
| YDimension | Gets and sets the dimension of the function range. Vectors returned by this function will have this length. |
Methods| Name | Description | |
|---|---|---|
| Clone | Returns a deep copy of the base. Deriving classes must override this method. |
| Evaluate(Double, Double) | Evaluates the function for the given set of parameters at the given point. |
| Evaluate(DoubleVector, DoubleVector, DoubleVector) | Evaluates the function for the given set of parameters at the given point. |
| JacobianWithRespectToParameters(Double, Double, DoubleMatrix) | Method for calculating the Jacobian with respect to the parameters while keeping x fixed at the specified value. |
| JacobianWithRespectToParameters(DoubleVector, DoubleVector, DoubleMatrix) | Method for calculating the Jacobian with respect to the parameters while keeping x fixed at the specified value. |
RemarksA parameterized multi-variable function
defines a vector-valued function of a vector for each
set of parameters. For example:
f0(x: a, b) = a*cos(b*x[0]) + b*sin(a*x[1]) f1(x: a, b) = a*cos(b*x[1]) + b*sin(a*x[0])
is a parameterized function mapping R2 into R2. For each set of values, a and b, it defines a vector-valued function of a vector x. For example if a = 1 and b = 2 then
f0(x) = cos(2*x[0]) + 2*sin(x[1]) f1(x) = cos(2*x[1]) + 2*sin(x[0]).
f0(x: a, b) = a*cos(b*x[0]) + b*sin(a*x[1]) f1(x: a, b) = a*cos(b*x[1]) + b*sin(a*x[0])
is a parameterized function mapping R2 into R2. For each set of values, a and b, it defines a vector-valued function of a vector x. For example if a = 1 and b = 2 then
f0(x) = cos(2*x[0]) + 2*sin(x[1]) f1(x) = cos(2*x[1]) + 2*sin(x[0]).
See Also