ILinear Algebra Operations<T, TVector, TMatrix>.Symmetric Multiply And Add In Place Method
Definition
Namespace: Numerics.NET.LinearAlgebra.Implementation
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.4
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(MatrixTriangle, Int32, T, TMatrix, TVector, T, TVector)
Product of a symmetric matrix and a vector.
void SymmetricMultiplyAndAddInPlace(
MatrixTriangle storedTriangle,
int n,
T alpha,
TMatrix a,
TVector x,
T beta,
TVector 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 TMatrix
- A span that contains the elements of the matrix.
- x TVector
- A reference to a one-dimensional array containing the elements of the vector x.
- beta T
- The scalar used to multiply y.
- y TVector
- A reference to a one-dimensional array containing the elements of the vector y. The elements of y are overwritten with the result.
Remarks
This method is similar to the BLAS routine DSYMV.
SymmetricMultiplyAndAddInPlace(MatrixOperationSide, MatrixTriangle, Int32, Int32, T, TMatrix, TMatrix, T, TMatrix)
Sum of the product of a symmetric and a general matrix and a scaled matrix.
void SymmetricMultiplyAndAddInPlace(
MatrixOperationSide side,
MatrixTriangle storedTriangle,
int m,
int n,
T alpha,
TMatrix a,
TMatrix b,
T beta,
TMatrix 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 TMatrix
- A span that contains the elements of the first matrix.
- b TMatrix
- A span that contains the elements of the second matrix.
- beta T
- The scalar used to multiply c.
- c TMatrix
- A span that contains the elements of the third matrix.