LinearAlgebraOperationsExtensions.FullMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, Int32, Int32, ReadOnlySpan2D<T>) Method

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.

Definition

Namespace: Extreme.Collections
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 9.0.0
C#
``````public static T FullMatrixNorm<T>(
this ILinearAlgebraOperations<T> operations,
MatrixNorm norm,
int m,
int n,
)
``````

Parameters

operations  ILinearAlgebraOperations<T>

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.
```
```            Dimension (LDA,N)
The m by n matrix A.
```
```            The leading dimension of the array A.  LDA >= max(M,1).
```

T

T

Usage Note

In Visual Basic and C#, you can call this method as an instance method on any object of type ILinearAlgebraOperations<T>. When you use instance method syntax to call this method, omit the first parameter. For more information, see Extension Methods (Visual Basic) or Extension Methods (C# Programming Guide).

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.