Spectra 1.1.0
Header-only C++ Library for Large Scale Eigenvalue Problems
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Spectra::DenseHermMatProd< Scalar_, Uplo, Flags > Class Template Reference

#include <Spectra/MatOp/DenseHermMatProd.h>

Public Types

using Scalar = Scalar_
 

Public Member Functions

template<typename Derived>
 DenseHermMatProd (const Eigen::MatrixBase< Derived > &mat)
 
Index rows () const
 
Index cols () const
 
void perform_op (const Scalar *x_in, Scalar *y_out) const
 

Detailed Description

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
class Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >

This class defines the matrix-vector multiplication operation on a Hermitian complex matrix \(A\), i.e., calculating \(y=Ax\) for any vector \(x\). It is mainly used in the HermEigsSolver eigen solver.

Template Parameters
Scalar_The element type of the matrix, for example, std::complex<float>, std::complex<double>, and std::complex<long double>.
UploEither Eigen::Lower or Eigen::Upper, indicating which triangular part of the matrix is used.
FlagsEither Eigen::ColMajor or Eigen::RowMajor, indicating the storage format of the input matrix.

Definition at line 30 of file DenseHermMatProd.h.

Member Typedef Documentation

◆ Scalar

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
using Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >::Scalar = Scalar_

Element type of the matrix.

Definition at line 36 of file DenseHermMatProd.h.

Constructor & Destructor Documentation

◆ DenseHermMatProd()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
template<typename Derived>
Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >::DenseHermMatProd ( const Eigen::MatrixBase< Derived > & mat)
inline

Constructor to create the matrix operation object.

Parameters
matAn Eigen matrix object, whose type can be Eigen::Matrix<Scalar, ...> (e.g. Eigen::MatrixXcd and Eigen::MatrixXcf), or its mapped version (e.g. Eigen::Map<Eigen::MatrixXcd>).

Definition at line 58 of file DenseHermMatProd.h.

Member Function Documentation

◆ rows()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
Index Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >::rows ( ) const
inline

Return the number of rows of the underlying matrix.

Definition at line 69 of file DenseHermMatProd.h.

◆ cols()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
Index Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >::cols ( ) const
inline

Return the number of columns of the underlying matrix.

Definition at line 73 of file DenseHermMatProd.h.

◆ perform_op()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor>
void Spectra::DenseHermMatProd< Scalar_, Uplo, Flags >::perform_op ( const Scalar * x_in,
Scalar * y_out ) const
inline

Perform the matrix-vector multiplication operation \(y=Ax\).

Parameters
x_inPointer to the \(x\) vector.
y_outPointer to the \(y\) vector.

Definition at line 82 of file DenseHermMatProd.h.


The documentation for this class was generated from the following file: