ManagedLinearAlgebraOperationsOfSingle.FullMatrixNorm Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.SinglePrecision (in Extreme.Numerics.SinglePrecision.dll) Version: 8.1.4

Overload List

FullMatrixNorm(MatrixNorm, Int32, Int32, Array2D<Complex<Single>>) Computes the norm of a general rectangular matrix.
FullMatrixNorm(MatrixNorm, Int32, Int32, Array2D<Single>)

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.

FullMatrixNorm(MatrixNorm, Int32, Int32, Array2D<Complex<Single>>)

Computes the norm of a general rectangular matrix.
C#
public override float FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	Array2D<Complex<float>> a
)

Parameters

norm  MatrixNorm
A MatrixNorm that specifies the type of norm to compute.
m  Int32
The number of rows of the matrix.
n  Int32
The number of columns of the matrix.
a  Array2D<Complex<Single>>
A complex number array that contains the elements of the matrix.

Return Value

Single
The norm of the matrix.

Remarks

This method corresponds to the LAPACK routine ?LANGE.

FullMatrixNorm(MatrixNorm, Int32, Int32, Array2D<Single>)

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.

C#
public override float FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	Array2D<float> a
)

Parameters

norm  MatrixNorm
            Specifies the value to be returned in DLANGE as described
            above.
            
m  Int32
            The number of rows of the matrix A.  M >= 0.  When M = 0,
            DLANGE is set to zero.
            
n  Int32
            The number of columns of the matrix A.  N >= 0.  When N = 0,
            DLANGE is set to zero.
            
a  Array2D<Single>
            Dimension (LDA,N)
            The m by n matrix A.
            
            The leading dimension of the array A.  LDA >= max(M,1).
            

Return Value

Single

Implements

ILinearAlgebraOperations<T>.FullMatrixNorm(MatrixNorm, Int32, Int32, Array2D<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.

See Also