LinearAlgebraOperations<T>.FullMatrixNorm Method

public T FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	Array2D<T> a
)

Public Function FullMatrixNorm ( 
	norm As MatrixNorm,
	m As Integer,
	n As Integer,
	a As Array2D(Of T)
) As T

public:
T FullMatrixNorm(
	MatrixNorm norm, 
	int m, 
	int n, 
	Array2D<T> a
)

member FullMatrixNorm : 
        norm : MatrixNorm * 
        m : int * 
        n : int * 
        a : Array2D<'T> -> 'T 

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<T>

            Dimension (LDA,N)
            The m by n matrix A.
            

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

Return Value

            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.

public T FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	Array2D<Complex<T>> a
)

Public Function FullMatrixNorm ( 
	norm As MatrixNorm,
	m As Integer,
	n As Integer,
	a As Array2D(Of Complex(Of T))
) As T

public:
T FullMatrixNorm(
	MatrixNorm norm, 
	int m, 
	int n, 
	Array2D<Complex<T>> a
)

member FullMatrixNorm : 
        norm : MatrixNorm * 
        m : int * 
        n : int * 
        a : Array2D<Complex<'T>> -> 'T 

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<T>>

A complex array that contains the elements of the matrix.

Return Value

public T FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	ReadOnlySpan2D<Complex<T>> a
)

Public Function FullMatrixNorm ( 
	norm As MatrixNorm,
	m As Integer,
	n As Integer,
	a As ReadOnlySpan2D(Of Complex(Of T))
) As T

public:
T FullMatrixNorm(
	MatrixNorm norm, 
	int m, 
	int n, 
	ReadOnlySpan2D<Complex<T>> a
)

member FullMatrixNorm : 
        norm : MatrixNorm * 
        m : int * 
        n : int * 
        a : ReadOnlySpan2D<Complex<'T>> -> 'T 

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  ReadOnlySpan2D<Complex<T>>

A complex array that contains the elements of the matrix.

Return Value

public abstract T FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	ReadOnlySpan<T> a,
	int lda
)

Public MustOverride Function FullMatrixNorm ( 
	norm As MatrixNorm,
	m As Integer,
	n As Integer,
	a As ReadOnlySpan(Of T),
	lda As Integer
) As T

public:
virtual T FullMatrixNorm(
	MatrixNorm norm, 
	int m, 
	int n, 
	ReadOnlySpan<T> a, 
	int lda
) abstract

abstract FullMatrixNorm : 
        norm : MatrixNorm * 
        m : int * 
        n : int * 
        a : ReadOnlySpan<'T> * 
        lda : int -> 'T 

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  ReadOnlySpan<T>

            Dimension (LDA,N)
            The m by n matrix A.
            

lda  Int32

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

Return Value

Implements

            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.

public abstract T FullMatrixNorm(
	MatrixNorm norm,
	int m,
	int n,
	ReadOnlySpan<Complex<T>> a,
	int lda
)

Public MustOverride Function FullMatrixNorm ( 
	norm As MatrixNorm,
	m As Integer,
	n As Integer,
	a As ReadOnlySpan(Of Complex(Of T)),
	lda As Integer
) As T

public:
virtual T FullMatrixNorm(
	MatrixNorm norm, 
	int m, 
	int n, 
	ReadOnlySpan<Complex<T>> a, 
	int lda
) abstract

abstract FullMatrixNorm : 
        norm : MatrixNorm * 
        m : int * 
        n : int * 
        a : ReadOnlySpan<Complex<'T>> * 
        lda : int -> 'T 

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  ReadOnlySpan<Complex<T>>

A complex array that contains the elements of the matrix.

lda  Int32

The leading dimension of the matrix a.

Return Value

Reference