Linear Algebra Operations<T>.Hermitian Matrix Norm Method
Definition
Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Hermitian | Computes the norm of a Hermitian matrix. |
Hermitian | Computes the norm of a Hermitian matrix. |
Hermitian | Computes the norm of a Hermitian matrix. |
Hermitian | Computes the norm of a Hermitian matrix. |
Hermitian | Computes the norm of a Hermitian matrix. |
HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, Array2D<T>)
Computes the norm of a Hermitian matrix.
public T HermitianMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
Array2D<T> a
)
Parameters
- 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 Array2D<T>
- A T array that contains the elements of the matrix.
Return Value
TThe norm of the matrix.
Remarks
For real element types, this method is equivalent to
SymmetricMatrixNorm(MatrixNorm, MatrixTriangle, Int32, Array2D<T>).
For complex element types, this method corresponds to
the LAPACK routine ?LANHE.
HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, Array2D<Complex<T>>)
Computes the norm of a Hermitian matrix.
public T HermitianMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
Array2D<Complex<T>> a
)
Parameters
- 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 Array2D<Complex<T>>
- A complex array that contains the elements of the matrix.
Return Value
TThe norm of the matrix.
Remarks
This method corresponds to the LAPACK routine ?LANHE.
HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan2D<Complex<T>>)
Computes the norm of a Hermitian matrix.
public T HermitianMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
ReadOnlySpan2D<Complex<T>> a
)
Parameters
- 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<Complex<T>>
- A complex array that contains the elements of the matrix.
Return Value
TThe norm of the matrix.
Remarks
This method corresponds to the LAPACK routine ?LANHE.
HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan<T>, Int32)
Computes the norm of a Hermitian matrix.
public T HermitianMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
ReadOnlySpan<T> a,
int lda
)
Parameters
- 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 ReadOnlySpan<T>
- A T array that contains the elements of the matrix.
- lda Int32
- The leading dimension of the matrix a.
Return Value
TThe norm of the matrix.
Implements
ILinearAlgebraOperations<T>.HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan<T>, Int32)Remarks
For real element types, this method is equivalent to
SymmetricMatrixNorm(MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan<T>, Int32).
For complex element types, this method corresponds to
the LAPACK routine ?LANHE.
HermitianMatrixNorm(MatrixNorm, MatrixTriangle, Int32, ReadOnlySpan<Complex<T>>, Int32)
Computes the norm of a Hermitian matrix.
public abstract T HermitianMatrixNorm(
MatrixNorm norm,
MatrixTriangle storedTriangle,
int n,
ReadOnlySpan<Complex<T>> a,
int lda
)
Parameters
- 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 ReadOnlySpan<Complex<T>>
- A complex array that contains the elements of the matrix.
- lda Int32
- The leading dimension of the matrix a.
Return Value
TThe norm of the matrix.
Remarks
This method corresponds to the LAPACK routine ?LANHE.