Linear Algebra Operations.Symmetric Multiply And Add In Place Method
Definition
Namespace: Extreme.Mathematics.LinearAlgebra
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23
Overload List
Symmetric | Product of a symmetric matrix and a vector. |
Symmetric | Sum of the product of a symmetric and a general matrix and a scaled matrix. |
SymmetricMultiplyAndAddInPlace<T>(MatrixTriangle, Int32, T, Array2D<T>, ArraySlice<T>, T, ArraySlice<T>)
Product of a symmetric matrix and a vector.
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.
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