Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags > Class Template Reference

#include <DenseSymShiftSolve.h>

Public Types
using	Scalar = Scalar_

Public Member Functions
Index	cols () const
template<typename Derived >
	DenseSymShiftSolve (const Eigen::MatrixBase< Derived > &mat)
void	perform_op (const Scalar *x_in, Scalar *y_out) const
Index	rows () const
void	set_shift (const Scalar &sigma)

Private Types
using	ConstGenericMatrix = const Eigen::Ref< const Matrix >
using	Index = Eigen::Index
using	MapConstVec = Eigen::Map< const Vector >
using	MapVec = Eigen::Map< Vector >
using	Matrix = Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic, Flags >
using	Vector = Eigen::Matrix< Scalar, Eigen::Dynamic, 1 >

Private Attributes
ConstGenericMatrix	m_mat
const Index	m_n
BKLDLT< Scalar >	m_solver

Detailed Description

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

This class defines the shift-solve operation on a real symmetric matrix , i.e., calculating for any real and vector . It is mainly used in the SymEigsShiftSolver 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.

Definition at line 33 of file DenseSymShiftSolve.h.

Member Typedef Documentation

ConstGenericMatrix

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::ConstGenericMatrix = const Eigen::Ref<const Matrix>

private

Definition at line 47 of file DenseSymShiftSolve.h.

Index

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::Index = Eigen::Index

private

Definition at line 42 of file DenseSymShiftSolve.h.

MapConstVec

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::MapConstVec = Eigen::Map<const Vector>

private

Definition at line 45 of file DenseSymShiftSolve.h.

MapVec

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::MapVec = Eigen::Map<Vector>

private

Definition at line 46 of file DenseSymShiftSolve.h.

Matrix

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::Matrix = Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic, Flags>

private

Definition at line 43 of file DenseSymShiftSolve.h.

Scalar

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::Scalar = Scalar_

Element type of the matrix.

Definition at line 39 of file DenseSymShiftSolve.h.

Vector

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

using Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::Vector = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>

private

Definition at line 44 of file DenseSymShiftSolve.h.

Constructor & Destructor Documentation

DenseSymShiftSolve()

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

template<typename Derived >

Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::DenseSymShiftSolve ( const Eigen::MatrixBase< Derived > &  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 63 of file DenseSymShiftSolve.h.

Member Function Documentation

cols()

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

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

inline

Return the number of columns of the underlying matrix.

Definition at line 81 of file DenseSymShiftSolve.h.

perform_op()

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

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

inline

Perform the shift-solve operation .

Parameters

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

Definition at line 100 of file DenseSymShiftSolve.h.

rows()

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

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

inline

Return the number of rows of the underlying matrix.

Definition at line 77 of file DenseSymShiftSolve.h.

set_shift()

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

void Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::set_shift ( const Scalar &  sigma )

inline

Set the real shift .

Definition at line 86 of file DenseSymShiftSolve.h.

Member Data Documentation

m_mat

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

ConstGenericMatrix Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::m_mat

private

Definition at line 49 of file DenseSymShiftSolve.h.

m_n

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

const Index Spectra::DenseSymShiftSolve< Scalar_, Uplo, Flags >::m_n

private

Definition at line 50 of file DenseSymShiftSolve.h.

m_solver

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

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

private

Definition at line 51 of file DenseSymShiftSolve.h.

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

• DenseSymShiftSolve.h