ILinearAlgebraOperations<T>.SymmetricRankUpdate Method

Definition

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

Overload List

SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)	Performs a rank one update of a symmetric matrix.
SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)	Performs a symmetric rank two update of a symmetric matrix.
SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)	Performs a rank k update of a symmetric matrix.
SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)	Performs a rank k update of a symmetric matrix.

SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Performs a rank one update of a symmetric matrix.

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpan<T> x,
	int incx,
	Span<T> a,
	int lda
)

Visual Basic

Sub SymmetricRankUpdate ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As ReadOnlySpan(Of T),
	incx As Integer,
	a As Span(Of T),
	lda As Integer
)

C++/CLI

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	ReadOnlySpan<T> x, 
	int incx, 
	Span<T> a, 
	int lda
)

abstract SymmetricRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : ReadOnlySpan<'T> * 
        incx : int * 
        a : Span<'T> * 
        lda : int -> 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 T: The scalar used to multiply the outer product.
x ReadOnlySpan<T>: A span containing the elements of the vector x.
incx Int32: The distance between elements in x.
a Span<T>: A span that contains the elements of the matrix.
lda Int32: The leading dimension of the matrix a.

Remarks

This method is similar to the BLAS routine DSYR.

SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Performs a symmetric rank two update of a symmetric matrix.

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpan<T> x,
	int incx,
	ReadOnlySpan<T> y,
	int incy,
	Span<T> a,
	int lda
)

Visual Basic

Sub SymmetricRankUpdate ( 
	storedTriangle As MatrixTriangle,
	n As Integer,
	alpha As T,
	x As ReadOnlySpan(Of T),
	incx As Integer,
	y As ReadOnlySpan(Of T),
	incy As Integer,
	a As Span(Of T),
	lda As Integer
)

C++/CLI

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle, 
	int n, 
	T alpha, 
	ReadOnlySpan<T> x, 
	int incx, 
	ReadOnlySpan<T> y, 
	int incy, 
	Span<T> a, 
	int lda
)

abstract SymmetricRankUpdate : 
        storedTriangle : MatrixTriangle * 
        n : int * 
        alpha : 'T * 
        x : ReadOnlySpan<'T> * 
        incx : int * 
        y : ReadOnlySpan<'T> * 
        incy : int * 
        a : Span<'T> * 
        lda : int -> 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 T: The scalar used to multiply the outer product.
x ReadOnlySpan<T>: A span containing the elements of the vector x.
incx Int32: The distance between elements in x.
y ReadOnlySpan<T>: A span containing the elements of the vector y.
incy Int32: The distance between elements in y.
a Span<T>: A span that contains the elements of the matrix.
lda Int32: The leading dimension of the matrix a.

Remarks

This method is similar to the BLAS routine DSYR2.

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)

Performs a rank k update of a symmetric matrix.

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	ReadOnlySpan<T> a,
	int lda,
	T beta,
	Span<T> c,
	int ldc
)

Visual Basic

Sub SymmetricRankUpdate ( 
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As ReadOnlySpan(Of T),
	lda As Integer,
	beta As T,
	c As Span(Of T),
	ldc As Integer
)

C++/CLI

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	ReadOnlySpan<T> a, 
	int lda, 
	T beta, 
	Span<T> c, 
	int ldc
)

abstract SymmetricRankUpdate : 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : ReadOnlySpan<'T> * 
        lda : int * 
        beta : 'T * 
        c : Span<'T> * 
        ldc : int -> unit

Parameters

storedTriangle MatrixTriangle: Specifies whether the elements of the matrix c 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 ReadOnlySpan<T>: A span that contains the elements of the first matrix.
lda Int32: The leading dimension of the matrix a.
beta T: The scalar used to multiply c.
c Span<T>: A span that contains the elements of the third matrix.
ldc Int32: The leading dimension of the matrix c.

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)

Performs a rank k update of a symmetric matrix.

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	ReadOnlySpan<T> a,
	int lda,
	ReadOnlySpan<T> b,
	int ldb,
	T beta,
	Span<T> c,
	int ldc
)

Visual Basic

Sub SymmetricRankUpdate ( 
	storedTriangle As MatrixTriangle,
	trans As TransposeOperation,
	n As Integer,
	k As Integer,
	alpha As T,
	a As ReadOnlySpan(Of T),
	lda As Integer,
	b As ReadOnlySpan(Of T),
	ldb As Integer,
	beta As T,
	c As Span(Of T),
	ldc As Integer
)

C++/CLI

void SymmetricRankUpdate(
	MatrixTriangle storedTriangle, 
	TransposeOperation trans, 
	int n, 
	int k, 
	T alpha, 
	ReadOnlySpan<T> a, 
	int lda, 
	ReadOnlySpan<T> b, 
	int ldb, 
	T beta, 
	Span<T> c, 
	int ldc
)

abstract SymmetricRankUpdate : 
        storedTriangle : MatrixTriangle * 
        trans : TransposeOperation * 
        n : int * 
        k : int * 
        alpha : 'T * 
        a : ReadOnlySpan<'T> * 
        lda : int * 
        b : ReadOnlySpan<'T> * 
        ldb : int * 
        beta : 'T * 
        c : Span<'T> * 
        ldc : int -> unit

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 ReadOnlySpan<T>: A span that contains the elements of the first matrix.
lda Int32: The leading dimension of the matrix a.
b ReadOnlySpan<T>: A span that contains the elements of the second matrix.
ldb Int32: The leading dimension of the matrix b.
beta T: The scalar used to multiply c.
c Span<T>: A span that contains the elements of the third matrix.
ldc Int32: The leading dimension of the matrix c.

ILinearAlgebraOperations<T>.SymmetricRankUpdate Method

Definition

Overload List

SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Parameters

Remarks

SymmetricRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, Span<T>, Int32)

Parameters

Remarks

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)

Parameters

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, ReadOnlySpan<T>, Int32, ReadOnlySpan<T>, Int32, T, Span<T>, Int32)

Parameters

See Also

Reference