LinearAlgebraOperations.TriangularMatrixNorm<T, TStorage2D> Method

public static T TriangularMatrixNorm<T, TStorage2D>(
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	MatrixDiagonal diag,
	int m,
	int n,
	TStorage2D a
)
where TStorage2D : Object, IStorage2D<T>

Public Shared Function TriangularMatrixNorm(Of T, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	diag As MatrixDiagonal,
	m As Integer,
	n As Integer,
	a As TStorage2D
) As T

public:
generic<typename T, typename TStorage2D>
where TStorage2D : Object, IStorage2D<T>
static T TriangularMatrixNorm(
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	MatrixDiagonal diag, 
	int m, 
	int n, 
	TStorage2D a
)

static member TriangularMatrixNorm : 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        diag : MatrixDiagonal * 
        m : int * 
        n : int * 
        a : 'TStorage2D -> 'T  when 'TStorage2D : Object and IStorage2D<'T>

Parameters

norm  MatrixNorm

            Specifies the value to be returned in DLANTR as described
            above.
            

storedTriangle  MatrixTriangle

            Specifies whether the matrix A is upper or lower trapezoidal.
            = 'U':  Upper trapezoidal
            = 'L':  Lower trapezoidal
            Note that A is triangular instead of trapezoidal if M = N.
            

diag  MatrixDiagonal

            Specifies whether or not the matrix A has unit diagonal.
            = 'N':  Non-unit diagonal
            = 'U':  Unit diagonal
            

m  Int32

            The number of rows of the matrix A.  M >= 0, and if
            UPLO = 'U', M <= N.  When M = 0, DLANTR is set to zero.
            

n  Int32

            The number of columns of the matrix A.  N >= 0, and if
            UPLO = 'L', N <= M.  When N = 0, DLANTR is set to zero.
            

a  TStorage2D

            Dimension (LDA,N)
            The trapezoidal matrix A (A is triangular if M = N).
            If UPLO = 'U', the leading m by n upper trapezoidal part of
            the array A contains the upper trapezoidal matrix, and the
            strictly lower triangular part of A is not referenced.
            If UPLO = 'L', the leading m by n lower trapezoidal part of
            the array A contains the lower trapezoidal matrix, and the
            strictly upper triangular part of A is not referenced.  Note
            that when DIAG = 'U', the diagonal elements of A are not
            referenced and are assumed to be one.
            

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

Type Parameters

T

TStorage2D

Return Value

            DLANTR = ( max(abs(A(i,j))), NORM = 'M' or 'm'
                     (
                     ( norm1(A),         NORM = '1', 'O' or 'o'
                     (
                     ( normI(A),         NORM = 'I' or 'i'
                     (
                     ( normF(A),         NORM = 'F', 'f', 'E' or 'e'
            ere  norm1  denotes the  one norm of a matrix (maximum column sum),
            ormI  denotes the  infinity norm  of a matrix  (maximum row sum) and
            normF  denotes the  Frobenius norm of a matrix (square root of sum of
            squares).  Note that  max(abs(A(i,j)))  is not a consistent matrix norm.
            

This method corresponds to the LAPACK routine DLANTR.

Reference