MultivariatePolynomialBasis.EvaluateBasisGradient Method

public void EvaluateBasisGradient(
	ReadOnlySpan<double> point,
	Span2D<double> basisGradients
)

Public Sub EvaluateBasisGradient ( 
	point As ReadOnlySpan(Of Double),
	basisGradients As Span2D(Of Double)
)

public:
void EvaluateBasisGradient(
	ReadOnlySpan<double> point, 
	Span2D<double> basisGradients
)

member EvaluateBasisGradient : 
        point : ReadOnlySpan<float> * 
        basisGradients : Span2D<float> -> unit 

Parameters

point  ReadOnlySpan<Double>

A read-only span containing the coordinates of the point. Length must equal Dimension.

basisGradients  Span2D<Double>

A 2D span to receive the computed gradients. Each row corresponds to one basis function, and each column corresponds to one coordinate dimension. Must have BasisCount rows and Dimension columns.

For each basis monomial x^α = x₁^α₁ · ... · xₐ^αₐ, this method computes the partial derivatives:

∂(x^α)/∂xₖ = αₖ · x₁^α₁ · ... · xₖ^(αₖ-1) · ... · xₐ^αₐ if αₖ > 0, and 0 otherwise.

The gradients are stored row-wise in basisGradients, where row i contains the gradient of basis function i.

public Matrix<double> EvaluateBasisGradient(
	Vector<double> point,
	Matrix<double>? result = null
)

Public Function EvaluateBasisGradient ( 
	point As Vector(Of Double),
	Optional result As Matrix(Of Double) = Nothing
) As Matrix(Of Double)

public:
Matrix<double>^ EvaluateBasisGradient(
	Vector<double>^ point, 
	Matrix<double>^ result = nullptr
)

member EvaluateBasisGradient : 
        point : Vector<float> * 
        ?result : Matrix<float> 
(* Defaults:
        let _result = defaultArg result null
*)
-> Matrix<float> 

Parameters

point  Vector<Double>

A vector containing the coordinates of the point.

result  Matrix<Double>  (Optional)

An optional matrix to receive the computed gradients. If null, a new matrix is allocated. Each row corresponds to one basis function, and each column corresponds to one coordinate dimension.

Return Value

Reference