NMathFunctionsExpm(FloatMatrix, Double) Method

Computes the matrix exponential, e^A, of a given square matrix.

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

Syntax

public static FloatMatrix Expm(
	FloatMatrix A,
	double delta
)

Public Shared Function Expm ( 
	A As FloatMatrix,
	delta As Double
) As FloatMatrix

public:
static FloatMatrix^ Expm(
	FloatMatrix^ A, 
	double delta
)

static member Expm : 
        A : FloatMatrix * 
        delta : float -> FloatMatrix

Parameters

A FloatMatrix: A square matrix.
delta Double: Error tolerance.

Return Value

FloatMatrix
A matrix F such that

Copy

F = exp(A + E)

where E is a matrix with

Copy

InfinityNorm(E) < delta

Exceptions

Exception	Condition
MatrixNotSquareException	Thrown if the given matrix is not square.

Remarks

This method uses a scaling and squaring method based upon Pade approximation. Note this method raises the constant e to a matrix power, which is different than Exp( FloatMatrix A) which exponentiates each element of a matrix independently.

Reference

NMathFunctions Class

Expm Overload

CenterSpace.NMath.Core Namespace