Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex > Class Template Reference

#include <Spectra/MatOp/SparseSymMatProd.h>

Public Types
using	Scalar = Scalar_

Public Member Functions
template<typename Derived>
	SparseSymMatProd (const Eigen::SparseMatrixBase< Derived > &mat)
Index	rows () const
Index	cols () const
void	perform_op (const Scalar *x_in, Scalar *y_out) const
Matrix	operator* (const Eigen::Ref< const Matrix > &mat_in) const
Scalar	operator() (Index i, Index j) const

Detailed Description

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

This class defines the matrix-vector multiplication operation on a sparse real symmetric matrix A, i.e., calculating y=Ax for any vector x. It is mainly used in the SymEigsSolver eigen solver.

Template Parameters

Scalar_	The element type of the matrix, for example, float, double, and long double.
Uplo	Either Eigen::Lower or Eigen::Upper, indicating which triangular part of the matrix is used.
Flags	Either Eigen::ColMajor or Eigen::RowMajor, indicating the storage format of the input matrix.
StorageIndex	The type of the indices for the sparse matrix.

Definition at line 31 of file SparseSymMatProd.h.

Member Typedef Documentation

Scalar

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

using Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::Scalar = Scalar_

Element type of the matrix.

Definition at line 37 of file SparseSymMatProd.h.

Constructor & Destructor Documentation

SparseSymMatProd()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

template<typename Derived>

Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::SparseSymMatProd ( const Eigen::SparseMatrixBase< Derived > & mat )

inline

Constructor to create the matrix operation object.

Parameters

mat	An Eigen sparse matrix object, whose type can be Eigen::SparseMatrix<Scalar, ...> or its mapped version Eigen::Map<Eigen::SparseMatrix<Scalar, ...> >.

Definition at line 59 of file SparseSymMatProd.h.

Member Function Documentation

rows()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

Index Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::rows ( ) const

inline

Return the number of rows of the underlying matrix.

Definition at line 70 of file SparseSymMatProd.h.

cols()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

Index Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::cols ( ) const

inline

Return the number of columns of the underlying matrix.

Definition at line 74 of file SparseSymMatProd.h.

perform_op()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

void Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::perform_op ( const Scalar * x_in, Scalar * y_out ) const

inline

Perform the matrix-vector multiplication operation y=Ax.

Parameters

x_in	Pointer to the x vector.
y_out	Pointer to the y vector.

Definition at line 83 of file SparseSymMatProd.h.

operator*()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

Matrix Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::operator* ( const Eigen::Ref< const Matrix > & mat_in ) const

inline

Perform the matrix-matrix multiplication operation y=Ax.

Definition at line 93 of file SparseSymMatProd.h.

operator()()

template<typename Scalar_, int Uplo = Eigen::Lower, int Flags = Eigen::ColMajor, typename StorageIndex = int>

Scalar Spectra::SparseSymMatProd< Scalar_, Uplo, Flags, StorageIndex >::operator() ( Index i, Index j ) const

inline

Extract (i,j) element of the underlying matrix.

Definition at line 101 of file SparseSymMatProd.h.

---

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

• Spectra/MatOp/SparseSymMatProd.h