NMath Reference Guide
CenterSpace.NMath.Core
NMathFunctions Class
NMathFunctions Methods
ConditionNumber Method
ConditionNumber(DoubleComplexLowerTriMatrix) Method
ConditionNumber(DoubleComplexTriDiagMatrix) Method
ConditionNumber(DoubleComplexUpperTriMatrix) Method
ConditionNumber(DoubleHermitianBandMatrix) Method
ConditionNumber(DoubleHermitianMatrix) Method
ConditionNumber(DoubleLowerTriMatrix) Method
ConditionNumber(DoubleSymBandMatrix) Method
ConditionNumber(DoubleSymmetricMatrix) Method
ConditionNumber(DoubleTriDiagMatrix) Method
ConditionNumber(DoubleUpperTriMatrix) Method
ConditionNumber(FloatComplexLowerTriMatrix) Method
ConditionNumber(FloatComplexTriDiagMatrix) Method
ConditionNumber(FloatComplexUpperTriMatrix) Method
ConditionNumber(FloatHermitianBandMatrix) Method
ConditionNumber(FloatHermitianMatrix) Method
ConditionNumber(FloatLowerTriMatrix) Method
ConditionNumber(FloatSymBandMatrix) Method
ConditionNumber(FloatSymmetricMatrix) Method
ConditionNumber(FloatTriDiagMatrix) Method
ConditionNumber(FloatUpperTriMatrix) Method
ConditionNumber(DoubleBandMatrix, NormType) Method
ConditionNumber(DoubleComplexBandMatrix, NormType) Method
ConditionNumber(DoubleComplexLowerTriMatrix, NormType) Method
ConditionNumber(DoubleComplexMatrix, NormType) Method
ConditionNumber(DoubleComplexTriDiagMatrix, NormType) Method
ConditionNumber(DoubleComplexUpperTriMatrix, NormType) Method
ConditionNumber(DoubleHermitianBandMatrix, Boolean) Method
ConditionNumber(DoubleHermitianMatrix, Boolean) Method
ConditionNumber(DoubleLowerTriMatrix, NormType) Method
ConditionNumber(DoubleMatrix, NormType) Method
ConditionNumber(DoubleSymBandMatrix, Boolean) Method
ConditionNumber(DoubleSymmetricMatrix, Boolean) Method
ConditionNumber(DoubleTriDiagMatrix, NormType) Method
ConditionNumber(DoubleTriDiagMatrix, Boolean) Method
ConditionNumber(DoubleUpperTriMatrix, NormType) Method
ConditionNumber(FloatBandMatrix, NormType) Method
ConditionNumber(FloatComplexBandMatrix, NormType) Method
ConditionNumber(FloatComplexLowerTriMatrix, NormType) Method
ConditionNumber(FloatComplexMatrix, NormType) Method
ConditionNumber(FloatComplexTriDiagMatrix, NormType) Method
ConditionNumber(FloatComplexTriDiagMatrix, Boolean) Method
ConditionNumber(FloatComplexUpperTriMatrix, NormType) Method
ConditionNumber(FloatHermitianBandMatrix, Boolean) Method
ConditionNumber(FloatHermitianMatrix, Boolean) Method
ConditionNumber(FloatLowerTriMatrix, NormType) Method
ConditionNumber(FloatMatrix, NormType) Method
ConditionNumber(FloatSymBandMatrix, Boolean) Method
ConditionNumber(FloatSymmetricMatrix, Boolean) Method
ConditionNumber(FloatTriDiagMatrix, NormType) Method
ConditionNumber(FloatTriDiagMatrix, Boolean) Method
ConditionNumber(FloatUpperTriMatrix, NormType) Method
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NMathFunctionsConditionNumber(FloatComplexTriDiagMatrix, Boolean) Method

Computes an estimate of the reciprocal of the condition number of a given matrix in the 1-norm.

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
Syntax
Copy
public static float ConditionNumber(
	FloatComplexTriDiagMatrix A,
	bool isHermitianPD
)

Parameters

A  FloatComplexTriDiagMatrix
A tridiagonal, Hermitian, positive definite matrix.
isHermitianPD  Boolean
true if A is Hermitian and positive definite.

Return Value

Single
An estimate of the reciprocal of the condition number.
Remarks
The condition number of a matrix A is:
C#
Copy
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