Public Types | Public Member Functions | Protected Attributes | Private Types
Eigen::DiagonalPreconditioner< _Scalar > Class Template Reference

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

#include <BasicPreconditioners.h>

List of all members.

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 >
DiagonalPreconditioneranalyzePattern (const MatType &)
Index cols () const
template<typename MatType >
DiagonalPreconditionercompute (const MatType &mat)
 DiagonalPreconditioner ()
template<typename MatType >
 DiagonalPreconditioner (const MatType &mat)
template<typename MatType >
DiagonalPreconditionerfactorize (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:
_Scalarthe 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.


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


acado
Author(s): Milan Vukov, Rien Quirynen
autogenerated on Sat Jun 8 2019 19:40:40