LinearAlgebraOperationsExtensions.SymmetricMatrixNorm Method

public static T SymmetricMatrixNorm<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	int n,
	ReadOnlySpan2D<T> a
)

<ExtensionAttribute>
Public Shared Function SymmetricMatrixNorm(Of T) ( 
	operations As ILinearAlgebraOperations(Of T),
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As ReadOnlySpan2D(Of T)
) As T

public:
[ExtensionAttribute]
generic<typename T>
static T SymmetricMatrixNorm(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	int n, 
	ReadOnlySpan2D<T> a
)

[<ExtensionAttribute>]
static member SymmetricMatrixNorm : 
        operations : ILinearAlgebraOperations<'T> * 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : ReadOnlySpan2D<'T> -> 'T 

Parameters

operations  ILinearAlgebraOperations<T>

The object that performs the operation.

norm  MatrixNorm

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

storedTriangle  MatrixTriangle

            Specifies whether the upper or lower triangular part of the
            symmetric matrix A is to be referenced.
            = 'U':  Upper triangular part of A is referenced
            = 'L':  Lower triangular part of A is referenced
            

n  Int32

            The order of the matrix A.  N >= 0.  When N = 0, DLANSY is
            set to zero.
            

a  ReadOnlySpan2D<T>

            Dimension (LDA,N)
            The symmetric matrix A.  If UPLO = 'U', the leading n by n
            upper triangular part of A contains the upper triangular part
            of the matrix A, and the strictly lower triangular part of A
            is not referenced.  If UPLO = 'L', the leading n by n lower
            triangular part of A contains the lower triangular part of
            the matrix A, and the strictly upper triangular part of A is
            not referenced.
            

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

Type Parameters

T

Return Value

Usage Note

            DLANSY = ( 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 DLANSY.

public static T SymmetricMatrixNorm<T, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	int n,
	TStorage2D a
)
where TStorage2D : Object, IStorage2D<T>

<ExtensionAttribute>
Public Shared Function SymmetricMatrixNorm(Of T, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	operations As ILinearAlgebraOperations(Of T),
	norm As MatrixNorm,
	storedTriangle As MatrixTriangle,
	n As Integer,
	a As TStorage2D
) As T

public:
[ExtensionAttribute]
generic<typename T, typename TStorage2D>
where TStorage2D : Object, IStorage2D<T>
static T SymmetricMatrixNorm(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixNorm norm, 
	MatrixTriangle storedTriangle, 
	int n, 
	TStorage2D a
)

[<ExtensionAttribute>]
static member SymmetricMatrixNorm : 
        operations : ILinearAlgebraOperations<'T> * 
        norm : MatrixNorm * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        a : 'TStorage2D -> 'T  when 'TStorage2D : Object and IStorage2D<'T>

Parameters

operations  ILinearAlgebraOperations<T>

The linear algebra operations instance used to perform the calculation.

norm  MatrixNorm

A MatrixNorm that specifies the type of norm to compute.

storedTriangle  MatrixTriangle

A MatrixTriangle value that specifies whether the matrix elements are stored in the upper or lower triangle.

n  Int32

The number of rows and columns of the matrix.

a  TStorage2D

A T array that contains the elements of the matrix.

Type Parameters

T

TStorage2D

Return Value

Usage Note

Reference