Spline2D.Derivative Method (Double[], Double[], Int32, Int32)

Spline2DDerivative Method (Double, Double, Int32, Int32)

Returns the values of the partial derivative of the tensor-product spline of an array of points.

Namespace: Imsl.Math
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

public virtual double[,] Derivative(
	double[] xVec,
	double[] yVec,
	int xPartial,
	int yPartial
)

Public Overridable Function Derivative ( 
	xVec As Double(),
	yVec As Double(),
	xPartial As Integer,
	yPartial As Integer
) As Double(,)

public:
virtual array<double,2>^ Derivative(
	array<double>^ xVec, 
	array<double>^ yVec, 
	int xPartial, 
	int yPartial
)

abstract Derivative : 
        xVec : float[] * 
        yVec : float[] * 
        xPartial : int * 
        yPartial : int -> float[,] 
override Derivative : 
        xVec : float[] * 
        yVec : float[] * 
        xPartial : int * 
        yPartial : int -> float[,]

Parameters

xVec: Type: SystemDouble
A double array specifying the x-coordinates at which the spline is to be evaluated.
yVec: Type: SystemDouble
A double array specifying the y-coordinates at which the spline is to be evaluated.
xPartial: Type: SystemInt32
An int scalar specifying the x-partial derivative.
yPartial: Type: SystemInt32
An int scalar specifying the y-partial derivative.

Return Value

Type: Double
An double matrix containing the values of the partial derivatives

$\frac{{\partial ^{i + j} s}}{{\partial ^i x\,\,\partial ^j y}}$

where i = xPartial and j = yPartial, at each (x, y).

Reference

Spline2D Class

Derivative Overload

Imsl.Math Namespace