Public Types | Public Member Functions | Private Types | Private Attributes | List of all members
Spectra::DenseGenRealShiftSolve< Scalar_, Flags > Class Template Reference

#include <DenseGenRealShiftSolve.h>

Public Types

using Scalar = Scalar_
 

Public Member Functions

Index cols () const
 
template<typename Derived >
 DenseGenRealShiftSolve (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
 
Eigen::PartialPivLU< Matrixm_solver
 

Detailed Description

template<typename Scalar_, int Flags = Eigen::ColMajor>
class Spectra::DenseGenRealShiftSolve< Scalar_, Flags >

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

Template Parameters
Scalar_The element type of the matrix, for example, float, double, and long double.
FlagsEither Eigen::ColMajor or Eigen::RowMajor, indicating the storage format of the input matrix.

Definition at line 29 of file DenseGenRealShiftSolve.h.

Member Typedef Documentation

◆ ConstGenericMatrix

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::ConstGenericMatrix = const Eigen::Ref<const Matrix>
private

Definition at line 43 of file DenseGenRealShiftSolve.h.

◆ Index

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::Index = Eigen::Index
private

Definition at line 38 of file DenseGenRealShiftSolve.h.

◆ MapConstVec

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::MapConstVec = Eigen::Map<const Vector>
private

Definition at line 41 of file DenseGenRealShiftSolve.h.

◆ MapVec

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::MapVec = Eigen::Map<Vector>
private

Definition at line 42 of file DenseGenRealShiftSolve.h.

◆ Matrix

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::Matrix = Eigen::Matrix<Scalar, Eigen::Dynamic, Eigen::Dynamic, Flags>
private

Definition at line 39 of file DenseGenRealShiftSolve.h.

◆ Scalar

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::Scalar = Scalar_

Element type of the matrix.

Definition at line 35 of file DenseGenRealShiftSolve.h.

◆ Vector

template<typename Scalar_ , int Flags = Eigen::ColMajor>
using Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::Vector = Eigen::Matrix<Scalar, Eigen::Dynamic, 1>
private

Definition at line 40 of file DenseGenRealShiftSolve.h.

Constructor & Destructor Documentation

◆ DenseGenRealShiftSolve()

template<typename Scalar_ , int Flags = Eigen::ColMajor>
template<typename Derived >
Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::DenseGenRealShiftSolve ( 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::MatrixXd and Eigen::MatrixXf), or its mapped version (e.g. Eigen::Map<Eigen::MatrixXd>).

Definition at line 59 of file DenseGenRealShiftSolve.h.

Member Function Documentation

◆ cols()

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

Return the number of columns of the underlying matrix.

Definition at line 77 of file DenseGenRealShiftSolve.h.

◆ perform_op()

template<typename Scalar_ , int Flags = Eigen::ColMajor>
void Spectra::DenseGenRealShiftSolve< Scalar_, 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_inPointer to the $x$ vector.
y_outPointer to the $y$ vector.

Definition at line 94 of file DenseGenRealShiftSolve.h.

◆ rows()

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

Return the number of rows of the underlying matrix.

Definition at line 73 of file DenseGenRealShiftSolve.h.

◆ set_shift()

template<typename Scalar_ , int Flags = Eigen::ColMajor>
void Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::set_shift ( const Scalar sigma)
inline

Set the real shift $\sigma$.

Definition at line 82 of file DenseGenRealShiftSolve.h.

Member Data Documentation

◆ m_mat

template<typename Scalar_ , int Flags = Eigen::ColMajor>
ConstGenericMatrix Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::m_mat
private

Definition at line 45 of file DenseGenRealShiftSolve.h.

◆ m_n

template<typename Scalar_ , int Flags = Eigen::ColMajor>
const Index Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::m_n
private

Definition at line 46 of file DenseGenRealShiftSolve.h.

◆ m_solver

template<typename Scalar_ , int Flags = Eigen::ColMajor>
Eigen::PartialPivLU<Matrix> Spectra::DenseGenRealShiftSolve< Scalar_, Flags >::m_solver
private

Definition at line 47 of file DenseGenRealShiftSolve.h.


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


gtsam
Author(s):
autogenerated on Wed Apr 16 2025 03:17:22