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    • FullMatrixNorm(T) Method (MatrixNorm, Int32, Int32, Array2D(Complex(T)))
    • FullMatrixNorm(T) Method (MatrixNorm, Int32, Int32, Array2D(T))
  • FullMatrixNorm(T) Method (MatrixNorm, Int32, Int32, Array2D(T))
LinearAlgebraOperationsFullMatrixNormT Method (MatrixNorm, Int32, Int32, Array2DT)Extreme Optimization Numerical Libraries for .NET Professional

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.LinearAlgebra
Assembly: Extreme.Numerics.Net40 (in Extreme.Numerics.Net40.dll) Version: 6.0.16073.0 (6.0.16312.0)
Syntax

C#
VB
C++
F#
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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
Remarks

            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.

Version Information

Numerical Libraries

Supported in: 6.0
See Also

Reference

LinearAlgebraOperations Class
FullMatrixNorm Overload
Extreme.Mathematics.LinearAlgebra Namespace

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