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(DoubleComplexTriDiagMatrix, NormType) Method

Computes an estimate of 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
Copy
public static double ConditionNumber(
	DoubleComplexTriDiagMatrix A,
	NormType norm
)

Parameters

A  DoubleComplexTriDiagMatrix
A tridiagonal matrix.
norm  NormType
The norm used to compute the condition number.

Return Value

Double
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