Returns the value of the one norm, or the Frobenius norm, or
the infinity norm, or the element of largest absolute value of a
real symmetric matrix A.
Namespace: Extreme.Mathematics.LinearAlgebra.ImplementationAssembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
public abstract T SymmetricMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
Array2D<T> a
)
Public MustOverride Function SymmetricMatrixNorm (
norm As MatrixNorm,
storedTriangle As MatrixTriangle,
n As Integer,
a As Array2D(Of T)
) As T
public:
virtual T SymmetricMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
Array2D<T> a
) abstract
abstract SymmetricMatrixNorm :
norm : MatrixNorm *
storedTriangle : MatrixTriangle *
n : int *
a : Array2D<'T> -> 'T
Parameters
- norm
- Type: Extreme.MathematicsMatrixNorm
Specifies the value to be returned in DLANSY as described
above.
- storedTriangle
- Type: Extreme.MathematicsMatrixTriangle
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
- Type: SystemInt32
The order of the matrix A. N >= 0. When N = 0, DLANSY is
set to zero.
- a
- Type: Extreme.CollectionsArray2DT
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).
Return Value
Type:
TImplements
ILinearAlgebraOperationsTSymmetricMatrixNorm(MatrixNorm, MatrixTriangle, Int32, Array2DT)
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.
Numerical Libraries
Supported in: 6.0
Reference