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

#include <Spectra/MatOp/DenseSymShiftSolve.h>

Public Types
using	Scalar = Scalar_

Public Member Functions
template<typename Derived>
	DenseSymShiftSolve (const Eigen::MatrixBase< Derived > &mat)
Index	rows () const
Index	cols () const
void	set_shift (const Scalar &sigma)
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::DenseSymShiftSolve< Scalar_, Uplo, Flags >

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.

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

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.

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

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.

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.

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 \(\sigma\).

Definition at line 86 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 \(y=(A-\sigma I)^{-1}x\).

Parameters

x_in	Pointer to the \(x\) vector.
y_out	Pointer to the \(y\) vector.

Definition at line 100 of file DenseSymShiftSolve.h.

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

• Spectra/MatOp/DenseSymShiftSolve.h