ManagedLapack.TriangularEstimateCondition Method

public override void TriangularEstimateCondition(
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	MatrixDiagonal diag,
	int n,
	Array2D<Complex<double>> a,
	out double rcond,
	out int info
)

Public Overrides Sub TriangularEstimateCondition ( 
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	diag As MatrixDiagonal,
	n As Integer,
	a As Array2D(Of Complex(Of Double)),
	<OutAttribute> ByRef rcond As Double,
	<OutAttribute> ByRef info As Integer
)

public:
virtual void TriangularEstimateCondition(
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal diag, 
	int n, 
	Array2D<Complex<double>> a, 
	[OutAttribute] double% rcond, 
	[OutAttribute] int% info
) override

abstract TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<float>> * 
        rcond : float byref * 
        info : int byref -> unit 
override TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<float>> * 
        rcond : float byref * 
        info : int byref -> unit 

Parameters

norm  MatrixNorm

A MatrixNorm value that specifies which norm to use in the expression for the condition number.

storedTriangle  MatrixTriangle

A MatrixTriangle value that indicates whether the matrix is upper or lower triangular.

diag  MatrixDiagonal

A MatrixDiagonal value that indicates whether the matrix is unit diagonal.

n  Int32

The number of rows and columns of the matrix.

a  Array2D<Complex<Double>>

A complex array that contains the elements of the matrix.

rcond  Double

On return, an estimate for the reciprocal of the condition number of the matrix.

info  Int32

On return, indicates error conditions.

public override void TriangularEstimateCondition(
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	MatrixDiagonal diag,
	int n,
	Array2D<double> a,
	out double rcond,
	out int info
)

Public Overrides Sub TriangularEstimateCondition ( 
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	diag As MatrixDiagonal,
	n As Integer,
	a As Array2D(Of Double),
	<OutAttribute> ByRef rcond As Double,
	<OutAttribute> ByRef info As Integer
)

public:
virtual void TriangularEstimateCondition(
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal diag, 
	int n, 
	Array2D<double> a, 
	[OutAttribute] double% rcond, 
	[OutAttribute] int% info
) override

abstract TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<float> * 
        rcond : float byref * 
        info : int byref -> unit 
override TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<float> * 
        rcond : float byref * 
        info : int byref -> unit 

Parameters

norm  MatrixNorm

            Specifies whether the 1-norm condition number or the
            infinity-norm condition number is required:
            = '1' or 'O':  1-norm;
            = 'I':         Infinity-norm.
            

storedTriangle  MatrixTriangle

            = 'U':  A is upper triangular;
            = 'L':  A is lower triangular.
            

diag  MatrixDiagonal

            = 'N':  A is non-unit triangular;
            = 'U':  A is unit triangular.
            

n  Int32

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

a  Array2D<Double>

            Dimension (LDA,N)
            The triangular matrix A.  If UPLO = 'U', the leading N-by-N
            upper triangular part of the array A contains the upper
            triangular matrix, and the strictly lower triangular part of
            A is not referenced.  If UPLO = 'L', the leading N-by-N lower
            triangular part of the array A contains the lower triangular
            matrix, and the strictly upper triangular part of A is not
            referenced.  If DIAG = 'U', the diagonal elements of A are
            also not referenced and are assumed to be 1.
            

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

rcond  Double

            The reciprocal of the condition number of the matrix A,
            computed as RCOND = 1/(norm(A) * norm(inv(A))).
            

info  Int32

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

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

This method corresponds to the LAPACK routine DTRCON.

Reference