ILinearAlgebraOperations<T, TVector, TMatrix>.SymmetricRankUpdate Method

Definition

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

Overload List

SymmetricRankUpdate(MatrixTriangle, Int32, T, TVector, TMatrix)

Performs a rank one update of a symmetric matrix.
C# 
void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	TVector x,
	TMatrix a
)

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  TVector
A reference to a one-dimensional array containing the elements of the vector x.
a  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the matrix.

Remarks

This method is similar to the BLAS routine DSYR.

SymmetricRankUpdate(MatrixTriangle, Int32, T, TVector, TVector, TMatrix)

Performs a symmetric rank two update of a symmetric matrix.
C# 
void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	TVector x,
	TVector y,
	TMatrix a
)

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  TVector
A reference to a one-dimensional array containing the elements of the vector x.
y  TVector
A reference to a one-dimensional array containing the elements of the vector y.
a  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the matrix.

Remarks

This method is similar to the BLAS routine DSYR2.

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, T, TMatrix)

Performs a rank k update of a symmetric matrix.
C# 
void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	TMatrix a,
	T beta,
	TMatrix c
)

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  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
beta  T
The scalar used to multiply c.
c  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

SymmetricRankUpdate(MatrixTriangle, TransposeOperation, Int32, Int32, T, TMatrix, TMatrix, T, TMatrix)

Performs a rank k update of a symmetric matrix.
C# 
void SymmetricRankUpdate(
	MatrixTriangle storedTriangle,
	TransposeOperation trans,
	int n,
	int k,
	T alpha,
	TMatrix a,
	TMatrix b,
	T beta,
	TMatrix c
)

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  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
beta  T
The scalar used to multiply c.
c  TMatrix
Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

See Also