LinearAlgebraOperations.HermitianMultiplyAndAddInPlace Method

Definition

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

Overload List

HermitianMultiplyAndAddInPlace<T>(MatrixTriangle, Int32, Complex<T>, Array2D<Complex<T>>, ArraySlice<Complex<T>>, Complex<T>, ArraySlice<Complex<T>>)

Product of a hermitian matrix and a vector.
C# 
public static void HermitianMultiplyAndAddInPlace<T>(
	MatrixTriangle storedTriangle,
	int n,
	Complex<T> alpha,
	Array2D<Complex<T>> a,
	ArraySlice<Complex<T>> x,
	Complex<T> beta,
	ArraySlice<Complex<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  Complex<T>
The scalar used to multiply the matrix-vector product.
a  Array2D<Complex<T>>
Reference to the first element in a one-dimensional array that contains the elements of the matrix.
x  ArraySlice<Complex<T>>
A reference to a one-dimensional array containing the elements of the vector x.
beta  Complex<T>
The scalar used to multiply y.
y  ArraySlice<Complex<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

HermitianMultiplyAndAddInPlace<T>(MatrixOperationSide, MatrixTriangle, Int32, Int32, Complex<T>, Array2D<Complex<T>>, Array2D<Complex<T>>, Complex<T>, Array2D<Complex<T>>)

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

Parameters

side  MatrixOperationSide
Specifies on which side the hermitian 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  Complex<T>
The scalar used to multiply the matrix-vector product.
a  Array2D<Complex<T>>
Reference to the first element in a one-dimensional array that contains the elements of the first matrix.
b  Array2D<Complex<T>>
Reference to the first element in a one-dimensional array that contains the elements of the second matrix.
beta  Complex<T>
The scalar used to multiply c.
c  Array2D<Complex<T>>
Reference to the first element in a one-dimensional array that contains the elements of the third matrix.

Type Parameters

T

See Also