Spectra::DenseGenComplexShiftSolve< Scalar_, Flags > Class Template Reference

#include <Spectra/MatOp/DenseGenComplexShiftSolve.h>

Public Types
using	Scalar = Scalar_

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

Detailed Description

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

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

Template Parameters

Scalar_	The element type of the matrix, for example, float, double, and long double.
Flags	Either Eigen::ColMajor or Eigen::RowMajor, indicating the storage format of the input matrix.

Definition at line 30 of file DenseGenComplexShiftSolve.h.

Member Typedef Documentation

Scalar

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

using Spectra::DenseGenComplexShiftSolve< Scalar_, Flags >::Scalar = Scalar_

Element type of the matrix.

Definition at line 36 of file DenseGenComplexShiftSolve.h.

Constructor & Destructor Documentation

DenseGenComplexShiftSolve()

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

template<typename Derived >

Spectra::DenseGenComplexShiftSolve< Scalar_, Flags >::DenseGenComplexShiftSolve ( 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 67 of file DenseGenComplexShiftSolve.h.

Member Function Documentation

rows()

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

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

inline

Return the number of rows of the underlying matrix.

Definition at line 81 of file DenseGenComplexShiftSolve.h.

cols()

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

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

inline

Return the number of columns of the underlying matrix.

Definition at line 85 of file DenseGenComplexShiftSolve.h.

set_shift()

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

void Spectra::DenseGenComplexShiftSolve< Scalar_, Flags >::set_shift ( const Scalar &  sigmar, const Scalar &  sigmai  )

inline

Set the complex shift \(\sigma\).

Parameters

sigmar	Real part of \(\sigma\).
sigmai	Imaginary part of \(\sigma\).

Definition at line 93 of file DenseGenComplexShiftSolve.h.

perform_op()

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

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

inline

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

Parameters

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

Definition at line 108 of file DenseGenComplexShiftSolve.h.

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

• Spectra/MatOp/DenseGenComplexShiftSolve.h