LinearAlgebraOperationsExtensions.HermitianMatrixNorm Method

Definition

Namespace: Numerics.NET.Collections
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

HermitianMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan2D<T>)

Computes the norm of a Hermitian matrix.
C# 
public static T HermitianMatrixNorm<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	int n,
	ReadOnlySpan2D<T> a
)

Parameters

operations  ILinearAlgebraOperations<T>
The object that performs the operation.
norm  MatrixNorm
A MatrixNorm that specifies the type of norm to compute.
storedTriangle  MatrixTriangle
A MatrixTriangle value that specifies whether the matrix elements are stored in the upper or lower triangle.
n  Int32
The number of rows and columns of the matrix.
a  ReadOnlySpan2D<T>
A T array that contains the elements of the matrix.

Type Parameters

T

Return Value

T
The norm of the matrix.

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

For real element types, this method is equivalent to SymmetricMatrixNorm<T>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan2D<T>). For complex element types, this method corresponds to the LAPACK routine ?LANHE.

HermitianMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, TStorage2D)

Computes the norm of a Hermitian matrix.
C# 
public static T HermitianMatrixNorm<T, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixNorm norm,
	MatrixTriangle storedTriangle,
	int n,
	TStorage2D a
)
where TStorage2D : Object, IStorage2D<T>

Parameters

operations  ILinearAlgebraOperations<T>
The linear algebra operations instance used to perform the calculation.
norm  MatrixNorm
A MatrixNorm that specifies the type of norm to compute.
storedTriangle  MatrixTriangle
A MatrixTriangle value that specifies whether the matrix elements are stored in the upper or lower triangle.
n  Int32
The number of rows and columns of the matrix.
a  TStorage2D
A T array that contains the elements of the matrix.

Type Parameters

T
TStorage2D

Return Value

T
The norm of the matrix.

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

For real element types, this method is equivalent to SymmetricMatrixNorm<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixNorm, MatrixTriangle, Int32, TStorage2D). For complex element types, this method corresponds to the LAPACK routine ?LANHE.

See Also