DoubleComplexLUFactConditionNumber Method

Computes the reciprocal of the condition number of a given matrix in the specified norm type.

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

Syntax

public double ConditionNumber(
	NormType norm,
	bool estimate
)

Public Function ConditionNumber ( 
	norm As NormType,
	estimate As Boolean
) As Double

public:
double ConditionNumber(
	NormType norm, 
	bool estimate
)

member ConditionNumber : 
        norm : NormType * 
        estimate : bool -> float

Parameters

norm NormType: The norm used to compute the condition number.
estimate Boolean: If true, an estimate for the reciprocal condition number rho is computed which is never less than rho and in practice is nearly always less than 10*rho; otherwise, the actual rho is computed.

Return Value

Double

Exceptions

Exception	Condition
MatrixNotSquareException	Thrown if the factored matrix was not square.

Remarks

The condition number of a matrix A is:

Copy

kappa = ||A|| ||AInv||

where AInv is the inverse of the matrix A. This function returns the reciprical of the condition number, rho = 1/kappa.
Invoking this method with estimate set to true results in better performance.

Reference

DoubleComplexLUFact Class

CenterSpace.NMath.Core Namespace