Hermitian
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
| Add | Updates a Hermitian matrix with the product of a matrix and its transpose. |
| Add | Updates a Hermitian matrix with the outer product of a vector and itself. |
| Add | Updates a Hermitian matrix with the scaled outer product of a matrix and its transpose. |
| Add | Updates a Hermitian matrix with the scaled outer product of a vector and its transpose. |
AddOuterProduct(Matrix<T>)
Updates a Hermitian matrix with the product
of a matrix and its transpose.
public HermitianMatrix<T> AddOuterProduct(
Matrix<T> matrix
)Parameters
Return Value
HermitianMatrix<T>A reference to this instance.
Remarks
The number of rows of matrix must equal the number of rows and columns of this instance.
This method uses the level 3 BLAS routine DSYRK.
Exceptions
| Argument | matrix is null. |
| Dimension | The number of rows of matrix does not equal the number of rows in this HermitianMatrix<T>. |
AddOuterProduct(Vector<T>)
Updates a Hermitian matrix with the outer product of
a vector and itself.
public HermitianMatrix<T> AddOuterProduct(
Vector<T> vector
)Parameters
Return Value
HermitianMatrix<T>A reference to this instance
Remarks
The length of vector must equal the number of rows and columns of this instance.
This method uses the level 2 BLAS routine DSYR.
Exceptions
| Dimension | The length of vector does not equal the number of rows and columns in this HermitianMatrix<T>. |
AddOuterProduct(T, Matrix<T>)
Updates a Hermitian matrix with the scaled outer product
of a matrix and its transpose.
public HermitianMatrix<T> AddOuterProduct(
T factor,
Matrix<T> matrix
)Parameters
Return Value
HermitianMatrix<T>A reference to this instance.
Remarks
The number of rows of matrix must equal the number of rows and columns of this instance.
This method uses the level 3 BLAS routine DSYRK.
Exceptions
| Argument | matrix is null. |
| Dimension | The number of rows of matrix does not equal the number of rows in this HermitianMatrix<T>. |
AddOuterProduct(T, Vector<T>)
Updates a Hermitian matrix with the scaled outer product
of a vector and its transpose.
public HermitianMatrix<T> AddOuterProduct(
T factor,
Vector<T> vector
)Parameters
Return Value
HermitianMatrix<T>A reference to this instance.
Remarks
The length of vector must equal the number of rows and columns of this instance.
This method uses the level 2 BLAS routine DSYR.
Exceptions
| Argument | vector is null. |
| Dimension | The length of vector does not equal the number of rows in this HermitianMatrix<T>. |