Linear Algebra Operations.Hermitian Rank Update Method
Definition
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Overload List
Hermitian | Performs a rank one update of a hermitian. |
Hermitian | Performs a hermitian rank two update of a hermitian matrix. |
Hermitian | Performs a rank k update of a hermitian matrix. |
Hermitian | Performs a rank 2k update of a hermitian matrix. |
HermitianRankUpdate<T>(MatrixTriangle, Int32, T, ArraySlice<Complex<T>>, Array2D<Complex<T>>)
Performs a rank one update of a hermitian.
public static void HermitianRankUpdate<T>(
MatrixTriangle storedTriangle,
int n,
T alpha,
ArraySlice<Complex<T>> x,
Array2D<Complex<T>> a
)
Parameters
- storedTriangle MatrixTriangle
- Specifies whether the matrix is an upper or lower triangular matrix.
- n Int32
- The number of rows and columns in the matrix a.
- alpha T
- The scalar used to multiply the outer product.
- x ArraySlice<Complex<T>>
- A reference to a one-dimensional array containing the elements of the vector x.
- a Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the matrix.
Type Parameters
- T
HermitianRankUpdate<T>(MatrixTriangle, Int32, Complex<T>, ArraySlice<Complex<T>>, ArraySlice<Complex<T>>, Array2D<Complex<T>>)
Performs a hermitian rank two update of a hermitian matrix.
public static void HermitianRankUpdate<T>(
MatrixTriangle storedTriangle,
int n,
Complex<T> alpha,
ArraySlice<Complex<T>> x,
ArraySlice<Complex<T>> y,
Array2D<Complex<T>> a
)
Parameters
- storedTriangle MatrixTriangle
- Specifies whether the matrix is an upper or lower triangular matrix.
- n Int32
- The number of rows and columns in the matrix a.
- alpha Complex<T>
- The scalar used to multiply the outer product.
- x ArraySlice<Complex<T>>
- A reference to a one-dimensional array containing the elements of the vector x.
- y ArraySlice<Complex<T>>
- A reference to a one-dimensional array containing the elements of the vector y.
- a Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the matrix.
Type Parameters
- T
HermitianRankUpdate<T>(MatrixTriangle, TransposeOperation, Int32, Int32, T, Array2D<Complex<T>>, T, Array2D<Complex<T>>)
Performs a rank k update of a hermitian matrix.
public static void HermitianRankUpdate<T>(
MatrixTriangle storedTriangle,
TransposeOperation trans,
int n,
int k,
T alpha,
Array2D<Complex<T>> a,
T beta,
Array2D<Complex<T>> c
)
Parameters
- storedTriangle MatrixTriangle
- Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
- trans TransposeOperation
- Specifies the operation to be performed on the matrix a.
- n Int32
- The number of rows and columns in the matrix c.
- k Int32
- The number of columns in the matrix a transformed as specified by trans.
- alpha T
- The scalar used to multiply the matrix-matrix product.
- a Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
- beta T
- The scalar used to multiply c.
- c Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the third matrix.
Type Parameters
- T
HermitianRankUpdate<T>(MatrixTriangle, TransposeOperation, Int32, Int32, Complex<T>, Array2D<Complex<T>>, Array2D<Complex<T>>, T, Array2D<Complex<T>>)
Performs a rank 2k update of a hermitian matrix.
public static void HermitianRankUpdate<T>(
MatrixTriangle storedTriangle,
TransposeOperation trans,
int n,
int k,
Complex<T> alpha,
Array2D<Complex<T>> a,
Array2D<Complex<T>> b,
T beta,
Array2D<Complex<T>> c
)
Parameters
- storedTriangle MatrixTriangle
- Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
- trans TransposeOperation
- Specifies the operation to be performed on the matrix a.
- n Int32
- The number of rows and columns in the matrix c.
- k Int32
- The number of columns in the matrix a transformed as specified by trans.
- alpha Complex<T>
- The scalar used to multiply the matrix-matrix product.
- a Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
- b Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
- beta T
- The scalar used to multiply c.
- c Array2D<Complex<T>>
- Reference to the first element in a one-dimensional array that contains the elements of the third matrix.
Type Parameters
- T