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 matrix A.
Namespace: Extreme.Mathematics.LinearAlgebraAssembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
public static T FullMatrixNorm<T>(
MatrixNorm norm,
int m,
int n,
Array2D<T> a
)
Public Shared Function FullMatrixNorm(Of T) (
norm As MatrixNorm,
m As Integer,
n As Integer,
a As Array2D(Of T)
) As T
public:
generic<typename T>
static T FullMatrixNorm(
MatrixNorm norm,
int m,
int n,
Array2D<T> a
)
static member FullMatrixNorm :
norm : MatrixNorm *
m : int *
n : int *
a : Array2D<'T> -> 'T
Parameters
- norm
- Type: Extreme.MathematicsMatrixNorm
Specifies the value to be returned in DLANGE as described
above.
- m
- Type: SystemInt32
The number of rows of the matrix A. M >= 0. When M = 0,
DLANGE is set to zero.
- n
- Type: SystemInt32
The number of columns of the matrix A. N >= 0. When N = 0,
DLANGE is set to zero.
- a
- Type: Extreme.CollectionsArray2DT
Dimension (LDA,N)
The m by n matrix A.
The leading dimension of the array A. LDA >= max(M,1).
Type Parameters
- T
Return Value
Type:
T
DLANGE = ( 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 DLANGE.
Numerical Libraries
Supported in: 6.0
Reference