ManagedLinearAlgebraOperationsOfSingle.HermitianRankUpdate Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics.SinglePrecision (in Extreme.Numerics.SinglePrecision.dll) Version: 8.1.4

Overload List

HermitianRankUpdate(MatrixTriangle, Int32, T, ArraySlice<T>, Array2D<T>)	Performs a rank one update of a hermitian.
HermitianRankUpdate(MatrixTriangle, Int32, Single, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)	Performs a rank one update of a hermitian.
HermitianRankUpdate(MatrixTriangle, Int32, T, ArraySlice<T>, ArraySlice<T>, Array2D<T>)	Performs a hermitian rank two update of a hermitian matrix.
HermitianRankUpdate(MatrixTriangle, Int32, Complex<Single>, ArraySlice<Complex<Single>>, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)	Performs a hermitian rank two update of a hermitian matrix.
HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, Array2D<T>, T, Array2D<T>)	Performs a rank k update of a hermitian matrix.
HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Single, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)	Performs a rank k update of a hermitian matrix.
HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, Array2D<T>, Array2D<T>, T, Array2D<T>)	Performs a rank 2k update of a hermitian matrix.
HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Complex<Single>, Array2D<Complex<Single>>, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)	Performs a rank 2k update of a hermitian matrix.

HermitianRankUpdate(MatrixTriangle, Int32, Single, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)

Performs a rank one update of a hermitian.

public override void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	float alpha,
	ArraySlice<Complex<float>> x,
	Array2D<Complex<float>> a
)

Visual Basic

Public Overrides Sub HermitianRankUpdate ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As Single,
	x As ArraySlice(Of Complex(Of Single)),
	a As Array2D(Of Complex(Of Single))
)

C++/CLI

public:
virtual void HermitianRankUpdate(
	MatrixTriangle storedTriangle, 
	int n, 
	float alpha, 
	ArraySlice<Complex<float>> x, 
	Array2D<Complex<float>> a
) override

abstract HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : float32 * 
        x : ArraySlice<Complex<float32>> * 
        a : Array2D<Complex<float32>> -> unit 
override HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : float32 * 
        x : ArraySlice<Complex<float32>> * 
        a : Array2D<Complex<float32>> -> unit

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 Single: The scalar used to multiply the outer product.
x ArraySlice<Complex<Single>>: A reference to a one-dimensional array containing the elements of the vector x.
a Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the matrix.

HermitianRankUpdate(MatrixTriangle, Int32, Complex<Single>, ArraySlice<Complex<Single>>, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)

Performs a hermitian rank two update of a hermitian matrix.

public override void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	Complex<float> alpha,
	ArraySlice<Complex<float>> x,
	ArraySlice<Complex<float>> y,
	Array2D<Complex<float>> a
)

Visual Basic

Public Overrides Sub HermitianRankUpdate ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As Complex(Of Single),
	x As ArraySlice(Of Complex(Of Single)),
	y As ArraySlice(Of Complex(Of Single)),
	a As Array2D(Of Complex(Of Single))
)

C++/CLI

public:
virtual void HermitianRankUpdate(
	MatrixTriangle storedTriangle, 
	int n, 
	Complex<float> alpha, 
	ArraySlice<Complex<float>> x, 
	ArraySlice<Complex<float>> y, 
	Array2D<Complex<float>> a
) override

abstract HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : Complex<float32> * 
        x : ArraySlice<Complex<float32>> * 
        y : ArraySlice<Complex<float32>> * 
        a : Array2D<Complex<float32>> -> unit 
override HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : Complex<float32> * 
        x : ArraySlice<Complex<float32>> * 
        y : ArraySlice<Complex<float32>> * 
        a : Array2D<Complex<float32>> -> unit

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<Single>: The scalar used to multiply the outer product.
x ArraySlice<Complex<Single>>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<Complex<Single>>: A reference to a one-dimensional array containing the elements of the vector y.
a Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the matrix.

Implements

ILinearAlgebraOperations<T>.HermitianRankUpdate(MatrixTriangle, Int32, T, ArraySlice<T>, ArraySlice<T>, Array2D<T>)

HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Single, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)

Performs a rank k update of a hermitian matrix.

public override void HermitianRankUpdate(
	MatrixTriangle triangle,
	TransposeOperation trans,
	int n,
	int k,
	float alpha,
	Array2D<Complex<float>> a,
	float beta,
	Array2D<Complex<float>> c
)

Visual Basic

Public Overrides Sub HermitianRankUpdate ( 
	triangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As Single,
	a As Array2D(Of Complex(Of Single)),
	beta As Single,
	c As Array2D(Of Complex(Of Single))
)

C++/CLI

public:
virtual void HermitianRankUpdate(
	MatrixTriangle triangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	float alpha, 
	Array2D<Complex<float>> a, 
	float beta, 
	Array2D<Complex<float>> c
) override

abstract HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : float32 * 
        a : Array2D<Complex<float32>> * 
        beta : float32 * 
        c : Array2D<Complex<float32>> -> unit 
override HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : float32 * 
        a : Array2D<Complex<float32>> * 
        beta : float32 * 
        c : Array2D<Complex<float32>> -> unit

Parameters

triangle 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 Single: The scalar used to multiply the matrix-matrix product.
a Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
beta Single: The scalar used to multiply c.
c Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Complex<Single>, Array2D<Complex<Single>>, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)

Performs a rank 2k update of a hermitian matrix.

public override void HermitianRankUpdate(
	MatrixTriangle triangle,
	TransposeOperation trans,
	int n,
	int k,
	Complex<float> alpha,
	Array2D<Complex<float>> a,
	Array2D<Complex<float>> b,
	float beta,
	Array2D<Complex<float>> c
)

Visual Basic

Public Overrides Sub HermitianRankUpdate ( 
	triangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As Complex(Of Single),
	a As Array2D(Of Complex(Of Single)),
	b As Array2D(Of Complex(Of Single)),
	beta As Single,
	c As Array2D(Of Complex(Of Single))
)

C++/CLI

public:
virtual void HermitianRankUpdate(
	MatrixTriangle triangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	Complex<float> alpha, 
	Array2D<Complex<float>> a, 
	Array2D<Complex<float>> b, 
	float beta, 
	Array2D<Complex<float>> c
) override

abstract HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : Complex<float32> * 
        a : Array2D<Complex<float32>> * 
        b : Array2D<Complex<float32>> * 
        beta : float32 * 
        c : Array2D<Complex<float32>> -> unit 
override HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : Complex<float32> * 
        a : Array2D<Complex<float32>> * 
        b : Array2D<Complex<float32>> * 
        beta : float32 * 
        c : Array2D<Complex<float32>> -> unit

Parameters

triangle 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<Single>: The scalar used to multiply the matrix-matrix product.
a Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
beta Single: The scalar used to multiply c.
c Array2D<Complex<Single>>: Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

ManagedLinearAlgebraOperationsOfSingle.HermitianRankUpdate Method

Definition

Overload List

HermitianRankUpdate(MatrixTriangle, Int32, Single, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)

Parameters

HermitianRankUpdate(MatrixTriangle, Int32, Complex<Single>, ArraySlice<Complex<Single>>, ArraySlice<Complex<Single>>, Array2D<Complex<Single>>)

Parameters

Implements

HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Single, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)

Parameters

HermitianRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, Complex<Single>, Array2D<Complex<Single>>, Array2D<Complex<Single>>, Single, Array2D<Complex<Single>>)

Parameters

See Also

Reference