ILinearAlgebraOperations<T>.HermitianRankUpdate Method

Definition

Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3

Overload List

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

Performs a rank one update of a hermitian.
C#
void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpan<T> x,
	int incx,
	Span<T> a,
	int lda
)

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.

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

Performs a hermitian rank two update of a hermitian matrix.
C#
void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	ReadOnlySpan<T> x,
	int incx,
	ReadOnlySpan<T> y,
	int incy,
	Span<T> a,
	int lda
)

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.

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

Performs a rank k update of a hermitian matrix.
C#
void HermitianRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	ReadOnlySpan<T> a,
	int lda,
	T beta,
	Span<T> c,
	int ldc
)

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.
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.

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

Performs a rank 2k update of a hermitian matrix.
C#
void HermitianRankUpdate(
	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
)

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.

See Also