LinearAlgebraOperations.SymmetricMultiplyAndAddInPlace Method

Definition

Namespace: Numerics.NET.LinearAlgebra
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4

Overload List

SymmetricMultiplyAndAddInPlace<T, TStorage, TStorage2D>(MatrixTriangle, Int32, T, TStorage2D, TStorage, T, TStorage)

Product of a symmetric matrix and a vector.
C# 
public static void SymmetricMultiplyAndAddInPlace<T, TStorage, TStorage2D>(
	MatrixTriangle storedTriangle,
	int n,
	T alpha,
	TStorage2D a,
	TStorage x,
	T beta,
	TStorage y
)
where TStorage : Object, IStorageSlice<T>
where TStorage2D : Object, IStorage2D<T>

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  TStorage2D
A span that contains the elements of the matrix.
x  TStorage
A reference to a one-dimensional array containing the elements of the vector x.
beta  T
The scalar used to multiply y.
y  TStorage
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
TStorage
TStorage2D

Remarks

This method is similar to the BLAS routine DSYMV.

SymmetricMultiplyAndAddInPlace<T, TStorage2D>(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, TStorage2D, TStorage2D, T, TStorage2D)

Sum of the product of a symmetric and a general matrix and a scaled matrix.
C# 
public static void SymmetricMultiplyAndAddInPlace<T, TStorage2D>(
	MatrixOperationSide side,
	MatrixTriangle storedTriangle,
	int m,
	int n,
	T alpha,
	TStorage2D a,
	TStorage2D b,
	T beta,
	TStorage2D c
)
where TStorage2D : Object, IStorage2D<T>

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  TStorage2D
A span that contains the elements of the first matrix.
b  TStorage2D
A span that contains the elements of the second matrix.
beta  T
The scalar used to multiply c.
c  TStorage2D
A span that contains the elements of the third matrix.

Type Parameters

T
TStorage2D

See Also