Eigen::DiagonalPreconditioner< _Scalar > Class Template Reference

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

#include <BasicPreconditioners.h>

Inheritance diagram for Eigen::DiagonalPreconditioner< _Scalar >:

Public Types
enum	{ ColsAtCompileTime = Dynamic , MaxColsAtCompileTime = Dynamic }
typedef Vector::StorageIndex	StorageIndex

Public Member Functions
	DiagonalPreconditioner ()
template<typename MatType >
	DiagonalPreconditioner (const MatType &mat)
EIGEN_CONSTEXPR Index	rows () const EIGEN_NOEXCEPT
EIGEN_CONSTEXPR Index	cols () const EIGEN_NOEXCEPT
template<typename MatType >
DiagonalPreconditioner &	analyzePattern (const MatType &)
template<typename MatType >
DiagonalPreconditioner &	factorize (const MatType &mat)
template<typename MatType >
DiagonalPreconditioner &	compute (const MatType &mat)
template<typename Rhs , typename Dest >
void	_solve_impl (const Rhs &b, Dest &x) const
template<typename Rhs >
const Solve< DiagonalPreconditioner, Rhs >	solve (const MatrixBase< Rhs > &b) const
ComputationInfo	info ()

Protected Attributes
Vector	m_invdiag
bool	m_isInitialized

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.

\implsparsesolverconcept

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.

See also

class LeastSquareDiagonalPreconditioner, class ConjugateGradient

Member Typedef Documentation

StorageIndex

template<typename _Scalar >

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

Member Enumeration Documentation

anonymous enum

template<typename _Scalar >

anonymous enum

Enumerator
ColsAtCompileTime
MaxColsAtCompileTime

Constructor & Destructor Documentation

DiagonalPreconditioner() [1/2]

template<typename _Scalar >

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

inline

DiagonalPreconditioner() [2/2]

template<typename _Scalar >

template<typename MatType >

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

inlineexplicit

Member Function Documentation

_solve_impl()

template<typename _Scalar >

template<typename Rhs , typename Dest >

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

inline

analyzePattern()

template<typename _Scalar >

template<typename MatType >

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

inline

cols()

template<typename _Scalar >

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

inline

compute()

template<typename _Scalar >

template<typename MatType >

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

inline

factorize()

template<typename _Scalar >

template<typename MatType >

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

inline

info()

template<typename _Scalar >

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

inline

rows()

template<typename _Scalar >

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

inline

solve()

template<typename _Scalar >

template<typename Rhs >

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

inline

Member Data Documentation

m_invdiag

template<typename _Scalar >

Vector Eigen::DiagonalPreconditioner< _Scalar >::m_invdiag

protected

m_isInitialized

template<typename _Scalar >

bool Eigen::DiagonalPreconditioner< _Scalar >::m_isInitialized

protected

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

• core/util/algorithms/eigen-3.4.0/Eigen/src/IterativeLinearSolvers/BasicPreconditioners.h