Eigen::DiagonalPreconditioner< _Scalar > Class Template Reference

A preconditioner based on the digonal entries. More...

#include <BasicPreconditioners.h>

Public Types
typedef Matrix< Scalar, Dynamic, Dynamic >	MatrixType

Public Member Functions
template<typename Rhs , typename Dest >
void	_solve (const Rhs &b, Dest &x) const
template<typename MatType >
DiagonalPreconditioner &	analyzePattern (const MatType &)
Index	cols () const
template<typename MatType >
DiagonalPreconditioner &	compute (const MatType &mat)
	DiagonalPreconditioner ()
template<typename MatType >
	DiagonalPreconditioner (const MatType &mat)
template<typename MatType >
DiagonalPreconditioner &	factorize (const MatType &mat)
Index	rows () const
template<typename Rhs >
const internal::solve_retval< DiagonalPreconditioner, Rhs >	solve (const MatrixBase< Rhs > &b) const

Protected Attributes
Vector	m_invdiag
bool	m_isInitialized

Private Types
typedef Vector::Index	Index
typedef _Scalar	Scalar
typedef Matrix< Scalar, Dynamic, 1 >	Vector

Detailed Description

template<typename _Scalar>
class Eigen::DiagonalPreconditioner< _Scalar >

A preconditioner based on the digonal entries.

This class allows to approximately solve for A.x = b problems assuming A is a diagonal matrix. In other words, this preconditioner neglects all off diagonal entries and, in Eigen's language, solves for:

A.diagonal().asDiagonal() . x = b

Template Parameters

_Scalar

the type of the scalar.

This preconditioner is suitable for both selfadjoint and general problems. The diagonal entries are pre-inverted and stored into a dense vector.

Note

A variant that has yet to be implemented would attempt to preserve the norm of each column.

Definition at line 33 of file BasicPreconditioners.h.

Member Typedef Documentation

template<typename _Scalar >

typedef Vector::Index Eigen::DiagonalPreconditioner< _Scalar >::Index

private

Definition at line 37 of file BasicPreconditioners.h.

template<typename _Scalar >

typedef Matrix<Scalar,Dynamic,Dynamic> Eigen::DiagonalPreconditioner< _Scalar >::MatrixType

Definition at line 41 of file BasicPreconditioners.h.

template<typename _Scalar >

typedef _Scalar Eigen::DiagonalPreconditioner< _Scalar >::Scalar

private

Definition at line 35 of file BasicPreconditioners.h.

template<typename _Scalar >

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

private

Definition at line 36 of file BasicPreconditioners.h.

Constructor & Destructor Documentation

template<typename _Scalar >

Eigen::DiagonalPreconditioner< _Scalar >::DiagonalPreconditioner ( )

inline

Definition at line 43 of file BasicPreconditioners.h.

template<typename _Scalar >

template<typename MatType >

Eigen::DiagonalPreconditioner< _Scalar >::DiagonalPreconditioner ( const MatType &  mat )

inline

Definition at line 46 of file BasicPreconditioners.h.

Member Function Documentation

template<typename _Scalar >

template<typename Rhs , typename Dest >

void Eigen::DiagonalPreconditioner< _Scalar >::_solve ( const Rhs &  b, Dest &  x  ) const

inline

Definition at line 84 of file BasicPreconditioners.h.

template<typename _Scalar >

template<typename MatType >

DiagonalPreconditioner& Eigen::DiagonalPreconditioner< _Scalar >::analyzePattern ( const MatType &  )

inline

Definition at line 55 of file BasicPreconditioners.h.

template<typename _Scalar >

Index Eigen::DiagonalPreconditioner< _Scalar >::cols ( void  ) const

inline

Definition at line 52 of file BasicPreconditioners.h.

template<typename _Scalar >

template<typename MatType >

DiagonalPreconditioner& Eigen::DiagonalPreconditioner< _Scalar >::compute ( const MatType &  mat )

inline

Definition at line 78 of file BasicPreconditioners.h.

template<typename _Scalar >

template<typename MatType >

DiagonalPreconditioner& Eigen::DiagonalPreconditioner< _Scalar >::factorize ( const MatType &  mat )

inline

Definition at line 61 of file BasicPreconditioners.h.

template<typename _Scalar >

Index Eigen::DiagonalPreconditioner< _Scalar >::rows ( void  ) const

inline

Definition at line 51 of file BasicPreconditioners.h.

template<typename _Scalar >

template<typename Rhs >

const internal::solve_retval<DiagonalPreconditioner, Rhs> Eigen::DiagonalPreconditioner< _Scalar >::solve ( const MatrixBase< Rhs > &  b ) const

inline

Definition at line 90 of file BasicPreconditioners.h.

Member Data Documentation

template<typename _Scalar >

Vector Eigen::DiagonalPreconditioner< _Scalar >::m_invdiag

protected

Definition at line 99 of file BasicPreconditioners.h.

template<typename _Scalar >

bool Eigen::DiagonalPreconditioner< _Scalar >::m_isInitialized

protected

Definition at line 100 of file BasicPreconditioners.h.

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

• BasicPreconditioners.h