ManagedLapack.HermitianEstimateCondition Method

Definition

Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3

Overload List

HermitianEstimateCondition(MatrixTriangle, Int32, Array2D<TComplex>, Array1D<Int32>, TReal, TReal, Int32)	Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = UDU^H or A = LDL^H computed by ZHETRF.
HermitianEstimateCondition(MatrixTriangle, Int32, ReadOnlySpan2D<TComplex>, Span<Int32>, TReal, TReal, Int32)	Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = UDU^H or A = LDL^H computed by ZHETRF.
HermitianEstimateCondition(MatrixTriangle, Int32, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Int32>, Double, Double, Int32)	Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = UDU^H or A = LDL^H computed by ZHETRF.

HermitianEstimateCondition(MatrixTriangle, Int32, ReadOnlySpan<Complex<Double>>, Int32, ReadOnlySpan<Int32>, Double, Double, Int32)

Estimates the reciprocal of the condition number of a complex Hermitian matrix A using the factorization A = U*D*U^H or A = L*D*L^H computed by ZHETRF.

public override void HermitianEstimateCondition(
	MatrixTriangle storedTriangle,
	int n,
	ReadOnlySpan<Complex<double>> a,
	int lda,
	ReadOnlySpan<int> ipiv,
	double anorm,
	out double rcond,
	out int info
)

Visual Basic

Public Overrides Sub HermitianEstimateCondition ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As ReadOnlySpan(Of Complex(Of Double)),
	lda As Integer,
	ipiv As ReadOnlySpan(Of Integer),
	anorm As Double,
	<OutAttribute> ByRef rcond As Double,
	<OutAttribute> ByRef info As Integer
)

C++/CLI

public:
virtual void HermitianEstimateCondition(
	MatrixTriangle storedTriangle, 
	int n, 
	ReadOnlySpan<Complex<double>> a, 
	int lda, 
	ReadOnlySpan<int> ipiv, 
	double anorm, 
	[OutAttribute] double% rcond, 
	[OutAttribute] int% info
) override

abstract HermitianEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : ReadOnlySpan<Complex<float>> * 
        lda : int * 
        ipiv : ReadOnlySpan<int> * 
        anorm : float * 
        rcond : float byref * 
        info : int byref -> unit 
override HermitianEstimateCondition : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : ReadOnlySpan<Complex<float>> * 
        lda : int * 
        ipiv : ReadOnlySpan<int> * 
        anorm : float * 
        rcond : float byref * 
        info : int byref -> unit

Parameters

storedTriangle MatrixTriangle

n Int32

            The order of the matrix A.  N >= 0.

a ReadOnlySpan<Complex<Double>>

            A is TComplex array, dimension (LDA,N)
            The block diagonal matrix D and the multipliers used to
            obtain the factor U or L as computed by ZHETRF.

lda Int32

            The leading dimension of the array A.  LDA >= max(1,N).

ipiv ReadOnlySpan<Int32>

            Dimension (N)
            Details of the interchanges and the block structure of D
            as determined by ZHETRF.

anorm Double

            ANORM is TReal
            The 1-norm of the original matrix A.

rcond Double

            RCOND is TReal
            The reciprocal of the condition number of the matrix A,
            computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an
            estimate of the 1-norm of inv(A) computed in this routine.

info Int32

            = 0:  successful exit
            < 0:  if INFO = -i, the i-th argument had an illegal value

Remarks

            An estimate is obtained for norm(inv(A)), and the reciprocal of the
            condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).