LinearAlgebraOperationsExtensions.HermitianRankUpdate Method

Definition

Namespace: Numerics.NET.Collections
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.0

Overload List

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, Span2D<T>)	Performs a rank one update of a hermitian.
HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>)	Performs a hermitian rank two update of a hermitian matrix.
HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, T, Span2D<T>)	Performs a rank k update of a hermitian matrix.
HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>)	Performs a rank 2k update of a hermitian matrix.
HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, T, TStorage2D)	Performs a rank k update of a hermitian matrix.
HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D)	Performs a rank 2k update of a hermitian matrix.
HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage2D)	Performs a rank one update of a hermitian.
HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage, TStorage2D)	Performs a hermitian rank two update of a hermitian matrix.

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, Span2D<T>)

Performs a rank one update of a hermitian.

public static void HermitianRankUpdate<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpanSlice<T> x,
	Span2D<T> a
)

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As ReadOnlySpanSlice(Of T),
	a As Span2D(Of T)
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	ReadOnlySpanSlice<T> x, 
	Span2D<T> a
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : ReadOnlySpanSlice<'T> * 
        a : Span2D<'T> -> unit

Parameters

operations ILinearAlgebraOperations<T>: The object that performs the operation.
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 ReadOnlySpanSlice<T>: A reference to a one-dimensional array containing the elements of the vector x.
a Span2D<T>: A span that contains the elements of the matrix.

Type Parameters

T

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).

HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage2D)

Performs a rank one update of a hermitian.

public static void HermitianRankUpdate<T, TStorage, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	TStorage x,
	TStorage2D a
)
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T, TStorage As {Object, IStorageSlice(Of T)}, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As TStorage,
	a As TStorage2D
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T, typename TStorage, typename TStorage2D>
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	TStorage x, 
	TStorage2D a
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : 'TStorage * 
        a : 'TStorage2D -> unit  when 'TStorage : Object and IStorageSlice<'T> when 'TStorage2D : Object and IStorage2D<'T>

Parameters

operations ILinearAlgebraOperations<T>: The linear algebra operations instance used to perform the calculation.
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 TStorage: A reference to a one-dimensional array containing the elements of the vector x.
a TStorage2D: A span that contains the elements of the matrix.

Type Parameters

T
TStorage
TStorage2D

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>)

Performs a hermitian rank two update of a hermitian matrix.

public static void HermitianRankUpdate<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpanSlice<T> x,
	ReadOnlySpanSlice<T> y,
	Span2D<T> a
)

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As ReadOnlySpanSlice(Of T),
	y As ReadOnlySpanSlice(Of T),
	a As Span2D(Of T)
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	ReadOnlySpanSlice<T> x, 
	ReadOnlySpanSlice<T> y, 
	Span2D<T> a
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : ReadOnlySpanSlice<'T> * 
        y : ReadOnlySpanSlice<'T> * 
        a : Span2D<'T> -> unit

Parameters

operations ILinearAlgebraOperations<T>: The object that performs the operation.
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 ReadOnlySpanSlice<T>: A reference to a one-dimensional array containing the elements of the vector x.
y ReadOnlySpanSlice<T>: A reference to a one-dimensional array containing the elements of the vector y.
a Span2D<T>: A span that contains the elements of the matrix.

Type Parameters

T

Usage Note

HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage, TStorage2D)

Performs a hermitian rank two update of a hermitian matrix.

public static void HermitianRankUpdate<T, TStorage, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	TStorage x,
	TStorage y,
	TStorage2D a
)
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T, TStorage As {Object, IStorageSlice(Of T)}, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As TStorage,
	y As TStorage,
	a As TStorage2D
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T, typename TStorage, typename TStorage2D>
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	TStorage x, 
	TStorage y, 
	TStorage2D a
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : 'TStorage * 
        y : 'TStorage * 
        a : 'TStorage2D -> unit  when 'TStorage : Object and IStorageSlice<'T> when 'TStorage2D : Object and IStorage2D<'T>

Parameters

operations ILinearAlgebraOperations<T>: The linear algebra operations instance used to perform the calculation.
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 TStorage: A reference to a one-dimensional array containing the elements of the vector x.
y TStorage: A reference to a one-dimensional array containing the elements of the vector y.
a TStorage2D: A span that contains the elements of the matrix.

Type Parameters

T
TStorage
TStorage2D

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, T, Span2D<T>)

Performs a rank k update of a hermitian matrix.

public static void HermitianRankUpdate<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	ReadOnlySpan2D<T> a,
	T beta,
	Span2D<T> c
)

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As ReadOnlySpan2D(Of T),
	beta As T,
	c As Span2D(Of T)
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	ReadOnlySpan2D<T> a, 
	T beta, 
	Span2D<T> c
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : ReadOnlySpan2D<'T> * 
        beta : 'T * 
        c : Span2D<'T> -> unit

Parameters

operations ILinearAlgebraOperations<T>: The object that performs the operation.
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 ReadOnlySpan2D<T>: A span that contains the elements of the first matrix.
beta T: The scalar used to multiply c.
c Span2D<T>: A span that contains the elements of the third matrix.

Type Parameters

T

Usage Note

HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, T, TStorage2D)

Performs a rank k update of a hermitian matrix.

public static void HermitianRankUpdate<T, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	TStorage2D a,
	T beta,
	TStorage2D c
)
where TStorage2D : Object, IStorage2D<T>

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As TStorage2D,
	beta As T,
	c As TStorage2D
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T, typename TStorage2D>
where TStorage2D : Object, IStorage2D<T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	TStorage2D a, 
	T beta, 
	TStorage2D c
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : 'TStorage2D * 
        beta : 'T * 
        c : 'TStorage2D -> unit  when 'TStorage2D : Object and IStorage2D<'T>

Parameters

operations ILinearAlgebraOperations<T>: The linear algebra operations instance used to perform the calculation.
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 TStorage2D: A span that contains the elements of the first matrix.
beta T: The scalar used to multiply c.
c TStorage2D: A span that contains the elements of the third matrix.

Type Parameters

T
TStorage2D

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>)

Performs a rank 2k update of a hermitian matrix.

public static void HermitianRankUpdate<T>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	ReadOnlySpan2D<T> a,
	ReadOnlySpan2D<T> b,
	T beta,
	Span2D<T> c
)

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As ReadOnlySpan2D(Of T),
	b As ReadOnlySpan2D(Of T),
	beta As T,
	c As Span2D(Of T)
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	ReadOnlySpan2D<T> a, 
	ReadOnlySpan2D<T> b, 
	T beta, 
	Span2D<T> c
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : ReadOnlySpan2D<'T> * 
        b : ReadOnlySpan2D<'T> * 
        beta : 'T * 
        c : Span2D<'T> -> unit

Parameters

operations ILinearAlgebraOperations<T>: The object that performs the operation.
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 ReadOnlySpan2D<T>: A span that contains the elements of the first matrix.
b ReadOnlySpan2D<T>: A span that contains the elements of the second matrix.
beta T: The scalar used to multiply c.
c Span2D<T>: A span that contains the elements of the third matrix.

Type Parameters

T

Usage Note

HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D)

Performs a rank 2k update of a hermitian matrix.

public static void HermitianRankUpdate<T, TStorage2D>(
	this ILinearAlgebraOperations<T> operations,
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	TStorage2D a,
	TStorage2D b,
	T beta,
	TStorage2D c
)
where TStorage2D : Object, IStorage2D<T>

Visual Basic

<ExtensionAttribute>
Public Shared Sub HermitianRankUpdate(Of T, TStorage2D As {Object, IStorage2D(Of T)}) ( 
	operations As ILinearAlgebraOperations(Of T),
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As TStorage2D,
	b As TStorage2D,
	beta As T,
	c As TStorage2D
)

C++/CLI

public:
[ExtensionAttribute]
generic<typename T, typename TStorage2D>
where TStorage2D : Object, IStorage2D<T>
static void HermitianRankUpdate(
	ILinearAlgebraOperations<T>^ operations, 
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	TStorage2D a, 
	TStorage2D b, 
	T beta, 
	TStorage2D c
)

[<ExtensionAttribute>]
static member HermitianRankUpdate : 
        operations : ILinearAlgebraOperations<'T> * 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : 'TStorage2D * 
        b : 'TStorage2D * 
        beta : 'T * 
        c : 'TStorage2D -> unit  when 'TStorage2D : Object and IStorage2D<'T>

Parameters

operations ILinearAlgebraOperations<T>: The linear algebra operations instance used to perform the calculation.
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 TStorage2D: A span that contains the elements of the first matrix.
b TStorage2D: A span that contains the elements of the second matrix.
beta T: The scalar used to multiply c.
c TStorage2D: A span that contains the elements of the third matrix.

Type Parameters

T
TStorage2D

LinearAlgebraOperationsExtensions.HermitianRankUpdate Method

Definition

Overload List

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, Span2D<T>)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage2D)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, ReadOnlySpanSlice<T>, ReadOnlySpanSlice<T>, Span2D<T>)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T, TStorage, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, Int32, T, TStorage, TStorage, TStorage2D)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, T, Span2D<T>)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, T, TStorage2D)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan2D<T>, ReadOnlySpan2D<T>, T, Span2D<T>)

Parameters

Type Parameters

Usage Note

HermitianRankUpdate<T, TStorage2D>(ILinearAlgebraOperations<T>, MatrixTriangle, TransposeOperation, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D)

Parameters

Type Parameters

Usage Note

See Also

Reference