ILinear Algebra Operations<T>.Hermitian Rank Update Method
Definition
Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
Overload List
Hermitian | Performs a rank one update of a hermitian. |
Hermitian | Performs a hermitian rank two update of a hermitian matrix. |
Hermitian | Performs a rank k update of a hermitian matrix. |
Hermitian | Performs a rank 2k update of a hermitian matrix. |
HermitianRankUpdate(MatrixTriangle, Int32, T, ReadOnlySpan<T>, Int32, Span<T>, Int32)
Performs a rank one update of a hermitian.
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.
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.
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.
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.