ManagedLinearAlgebraOperations.HermitianRankUpdate Method

Definition

Namespace: Extreme.Mathematics.LinearAlgebra.Implementation
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

Overload List

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

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

Performs a rank one update of a hermitian.

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

Visual Basic

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

C++/CLI

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

abstract HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : float * 
        x : ArraySlice<Complex<float>> * 
        a : Array2D<Complex<float>> -> unit 
override HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : float * 
        x : ArraySlice<Complex<float>> * 
        a : Array2D<Complex<float>> -> 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 Double: The scalar used to multiply the outer product.
x ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector x.
a Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the matrix.

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

Performs a hermitian rank two update of a hermitian matrix.

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

Visual Basic

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

C++/CLI

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

abstract HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : Complex<float> * 
        x : ArraySlice<Complex<float>> * 
        y : ArraySlice<Complex<float>> * 
        a : Array2D<Complex<float>> -> unit 
override HermitianRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : Complex<float> * 
        x : ArraySlice<Complex<float>> * 
        y : ArraySlice<Complex<float>> * 
        a : Array2D<Complex<float>> -> 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<Double>: The scalar used to multiply the outer product.
x ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector x.
y ArraySlice<Complex<Double>>: A reference to a one-dimensional array containing the elements of the vector y.
a Array2D<Complex<Double>>: 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, Double, Array2D<Complex<Double>>, Double, Array2D<Complex<Double>>)

Performs a rank k update of a hermitian matrix.

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

Visual Basic

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

C++/CLI

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

abstract HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : float * 
        a : Array2D<Complex<float>> * 
        beta : float * 
        c : Array2D<Complex<float>> -> unit 
override HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : float * 
        a : Array2D<Complex<float>> * 
        beta : float * 
        c : Array2D<Complex<float>> -> 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 Double: The scalar used to multiply the matrix-matrix product.
a Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
beta Double: The scalar used to multiply c.
c Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

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

Performs a rank 2k update of a hermitian matrix.

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

Visual Basic

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

C++/CLI

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

abstract HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : Complex<float> * 
        a : Array2D<Complex<float>> * 
        b : Array2D<Complex<float>> * 
        beta : float * 
        c : Array2D<Complex<float>> -> unit 
override HermitianRankUpdate : 
        triangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : Complex<float> * 
        a : Array2D<Complex<float>> * 
        b : Array2D<Complex<float>> * 
        beta : float * 
        c : Array2D<Complex<float>> -> 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<Double>: The scalar used to multiply the matrix-matrix product.
a Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
beta Double: The scalar used to multiply c.
c Array2D<Complex<Double>>: Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

ManagedLinearAlgebraOperations.HermitianRankUpdate Method

Definition

Overload List

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

Parameters

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

Parameters

Implements

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

Parameters

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

Parameters

See Also

Reference