Computes an estimate of the reciprocal of the condition number of a given matrix with respect to the one norm.

Namespace:  CenterSpace.NMath.Matrix
Assembly:  NMath (in NMath.dll) Version: 5.1.0.0

Syntax

C#
public static float ConditionNumber(
	FloatSymBandMatrix A,
	bool isPositiveDefinite
)
Visual Basic (Declaration)
Public Shared Function ConditionNumber ( _
	A As FloatSymBandMatrix, _
	isPositiveDefinite As Boolean _
) As Single
Visual C++
public:
static float ConditionNumber(
	FloatSymBandMatrix^ A, 
	bool isPositiveDefinite
)

Parameters

A
Type: CenterSpace.NMath.Matrix..::.FloatSymBandMatrix
A symmetric banded matrix.
isPositiveDefinite
Type: System..::.Boolean
true if A is positive definite. false otherwise.

Return Value

An estimate of the reciprocal of the condition number.

Remarks

The condition number of a matrix A is:
CopyC#
kappa = ||A|| ||AInv||
 where AInv is the inverse of the matrix A. This function returns an estimate of the reciprocal of the condition number, rho = 1/kappa.

See Also