#include <DenseSymShiftSolve.h>

Public Member Functions
Index	cols () const

	DenseSymShiftSolve (ConstGenericMatrix &mat)

void	perform_op (const Scalar x_in, Scalar y_out) const

Index	rows () const

void	set_shift (Scalar sigma)

Private Types
typedef Eigen::Index	Index

typedef Eigen::Map< const Vector >	MapConstVec

typedef Eigen::Map< Vector >	MapVec

typedef Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic >	Matrix

typedef Eigen::Matrix< Scalar, Eigen::Dynamic, 1 >	Vector

Private Attributes
const typedef Eigen::Ref< const Matrix >	ConstGenericMatrix

ConstGenericMatrix	m_mat

const int	m_n

BKLDLT< Scalar >	m_solver

Detailed Description

template<typename Scalar, int Uplo = Eigen::Lower>
class Spectra::DenseSymShiftSolve< Scalar, Uplo >

This class defines the shift-solve operation on a real symmetric matrix $A$ , i.e., calculating $y=(A-\sigma I)^{-1}x$ for any real $\sigma$ and vector $x$ . It is mainly used in the SymEigsShiftSolver eigen solver.

Definition at line 26 of file DenseSymShiftSolve.h.

Member Typedef Documentation

◆ Index

template<typename Scalar , int Uplo = Eigen::Lower>

typedef Eigen::Index Spectra::DenseSymShiftSolve< Scalar, Uplo >::Index

private

Definition at line 29 of file DenseSymShiftSolve.h.

◆ MapConstVec

template<typename Scalar , int Uplo = Eigen::Lower>

typedef Eigen::Map<const Vector> Spectra::DenseSymShiftSolve< Scalar, Uplo >::MapConstVec

private

Definition at line 32 of file DenseSymShiftSolve.h.

◆ MapVec

template<typename Scalar , int Uplo = Eigen::Lower>

typedef Eigen::Map<Vector> Spectra::DenseSymShiftSolve< Scalar, Uplo >::MapVec

private

Definition at line 33 of file DenseSymShiftSolve.h.

◆ Matrix

template<typename Scalar , int Uplo = Eigen::Lower>

typedef Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic> Spectra::DenseSymShiftSolve< Scalar, Uplo >::Matrix

private

Definition at line 30 of file DenseSymShiftSolve.h.

◆ Vector

template<typename Scalar , int Uplo = Eigen::Lower>

typedef Eigen::Matrix<Scalar, Eigen::Dynamic, 1> Spectra::DenseSymShiftSolve< Scalar, Uplo >::Vector

private

Definition at line 31 of file DenseSymShiftSolve.h.

Constructor & Destructor Documentation

◆ DenseSymShiftSolve()

template<typename Scalar , int Uplo = Eigen::Lower>

Spectra::DenseSymShiftSolve< Scalar, Uplo >::DenseSymShiftSolve ( ConstGenericMatrix & mat )

inline

Constructor to create the matrix operation object.

Parameters

mat	An Eigen matrix object, whose type can be `Eigen::Matrix<Scalar, ...>` (e.g. `Eigen::MatrixXd` and `Eigen::MatrixXf`), or its mapped version (e.g. `Eigen::Map<Eigen::MatrixXd>`).

Definition at line 49 of file DenseSymShiftSolve.h.

Member Function Documentation

◆ cols()

template<typename Scalar , int Uplo = Eigen::Lower>

Index Spectra::DenseSymShiftSolve< Scalar, Uplo >::cols ( ) const

inline

Return the number of columns of the underlying matrix.

Definition at line 63 of file DenseSymShiftSolve.h.

◆ perform_op()

template<typename Scalar , int Uplo = Eigen::Lower>

void Spectra::DenseSymShiftSolve< Scalar, Uplo >::perform_op	(	const Scalar *	x_in,
		Scalar *	y_out
	)		const

inline

Perform the shift-solve operation $y=(A-\sigma I)^{-1}x$ .

Parameters

x_in	Pointer to the vector.
y_out	Pointer to the vector.

Definition at line 82 of file DenseSymShiftSolve.h.

◆ rows()

template<typename Scalar , int Uplo = Eigen::Lower>

Index Spectra::DenseSymShiftSolve< Scalar, Uplo >::rows ( ) const

inline

Return the number of rows of the underlying matrix.

Definition at line 59 of file DenseSymShiftSolve.h.

◆ set_shift()

template<typename Scalar , int Uplo = Eigen::Lower>

void Spectra::DenseSymShiftSolve< Scalar, Uplo >::set_shift ( Scalar sigma )

inline

Set the real shift $\sigma$ .

Definition at line 68 of file DenseSymShiftSolve.h.

Member Data Documentation

◆ ConstGenericMatrix

template<typename Scalar , int Uplo = Eigen::Lower>

const typedef Eigen::Ref<const Matrix> Spectra::DenseSymShiftSolve< Scalar, Uplo >::ConstGenericMatrix

private

Definition at line 34 of file DenseSymShiftSolve.h.

◆ m_mat

template<typename Scalar , int Uplo = Eigen::Lower>

ConstGenericMatrix Spectra::DenseSymShiftSolve< Scalar, Uplo >::m_mat

private

Definition at line 36 of file DenseSymShiftSolve.h.

◆ m_n

template<typename Scalar , int Uplo = Eigen::Lower>

const int Spectra::DenseSymShiftSolve< Scalar, Uplo >::m_n

private

Definition at line 37 of file DenseSymShiftSolve.h.

◆ m_solver

template<typename Scalar , int Uplo = Eigen::Lower>

BKLDLT<Scalar> Spectra::DenseSymShiftSolve< Scalar, Uplo >::m_solver

private

Definition at line 38 of file DenseSymShiftSolve.h.

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

DenseSymShiftSolve.h

Public Member Functions

Private Types

Private Attributes

Detailed Description

template<typename Scalar, int Uplo = Eigen::Lower> class Spectra::DenseSymShiftSolve< Scalar, Uplo >

Member Typedef Documentation

◆ Index

◆ MapConstVec

◆ MapVec

◆ Matrix

◆ Vector

Constructor & Destructor Documentation

◆ DenseSymShiftSolve()

Member Function Documentation

◆ cols()

◆ perform_op()

◆ rows()

◆ set_shift()

Member Data Documentation

◆ ConstGenericMatrix

◆ m_mat

◆ m_n

◆ m_solver

template<typename Scalar, int Uplo = Eigen::Lower>
class Spectra::DenseSymShiftSolve< Scalar, Uplo >