Computes an estimate of the reciprocal of the condition number of a given matrix in the
1-norm. Matrix is assumed to be Hermitian and positive definite.
Namespace:
CenterSpace.NMath.MatrixAssembly: NMath (in NMath.dll) Version: 5.1.0.0
Syntax
| C# |
|---|
public static double ConditionNumber( DoubleComplexTriDiagMatrix A ) |
| Visual Basic (Declaration) |
|---|
Public Shared Function ConditionNumber ( _ A As DoubleComplexTriDiagMatrix _ ) As Double |
| Visual C++ |
|---|
public: static double ConditionNumber( DoubleComplexTriDiagMatrix^ A ) |
Parameters
- A
- Type: CenterSpace.NMath.Matrix..::.DoubleComplexTriDiagMatrix
A tridiagonal, Hermitian, positive definite matrix.
Return Value
An estimate of the reciprocal of the condition number.
Remarks
The condition number of a matrix A is:
CopyC#
where AInv is the inverse of the matrix A. This function
returns an estimate of the reciprocal of the condition number, rho = 1/kappa.
kappa = ||A|| ||AInv||