LinearAlgebraOperations.SymmetricMultiplyAndAddInPlace Method

Definition

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

Overload List

SymmetricMultiplyAndAddInPlace<T>(MatrixTriangle, Int32, T, Array2D<T>, ArraySlice<T>, T, ArraySlice<T>)

Product of a symmetric matrix and a vector.
C#
public static void SymmetricMultiplyAndAddInPlace<T>(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	Array2D<T> a,
	ArraySlice<T> x,
	T beta,
	ArraySlice<T> y
)

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 matrix-vector product.
a  Array2D<T>
Reference to the first element in a one-dimensional array that contains the elements of the matrix.
x  ArraySlice<T>
A reference to a one-dimensional array containing the elements of the vector x.
beta  T
The scalar used to multiply y.
y  ArraySlice<T>
A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.

Type Parameters

T

Remarks

This method is similar to the BLAS routine DSYMV.

SymmetricMultiplyAndAddInPlace<T>(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, Array2D<T>, Array2D<T>, T, Array2D<T>)

Sum of the product of a symmetric and a general matrix and a scaled matrix.
C#
public static void SymmetricMultiplyAndAddInPlace<T>(
	MatrixOperationSide side,
	MatrixTriangle storedTriangle,
	int m,
	int n,
	T alpha,
	Array2D<T> a,
	Array2D<T> b,
	T beta,
	Array2D<T> c
)

Parameters

side  MatrixOperationSide
Specifies on which side the symmetric matrix a is to be multiplied.
storedTriangle  MatrixTriangle
Specifies whether the elements of the matrix a are stored in the upper or lower triangular part.
m  Int32
The number of rows in the matrix a and the matrix c.
n  Int32
The number of columns in the matrix b and the matrix c.
alpha  T
The scalar used to multiply the matrix-vector product.
a  Array2D<T>
Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b  Array2D<T>
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  Array2D<T>
Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

Type Parameters

T

See Also