GenericDecompositionOperations<T>.TriangularEstimateCondition Method

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

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

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

abstract TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<'T> * 
        rcond : 'T byref * 
        info : int byref -> unit 
override TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<'T> * 
        rcond : 'T 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<T>

            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  T

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

info  Int32

info is INTEGER
            = 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.

public override void TriangularEstimateCondition(
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	MatrixDiagonal diag,
	int n,
	Array2D<Complex<T>> a,
	out T 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 T)),
	<OutAttribute> ByRef rcond As T,
	<OutAttribute> ByRef info As Integer
)

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

abstract TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<'T>> * 
        rcond : 'T byref * 
        info : int byref -> unit 
override TriangularEstimateCondition : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        n : int * 
        a : Array2D<Complex<'T>> * 
        rcond : 'T 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<T>>

A complex array that contains the elements of the matrix.

rcond  T

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

info  Int32

On return, indicates error conditions.

Reference