PreconditionSSOR< MatrixType > Class Template Reference

#include <deal.II/lac/precondition.h>

Inheritance diagram for PreconditionSSOR< MatrixType >:

Public Types
typedef PreconditionRelaxation< MatrixType >::AdditionalData	AdditionalData
typedef MatrixType::size_type	size_type
typedef PreconditionRelaxation< MatrixType >	BaseClass
Public Types inherited from PreconditionRelaxation< MatrixType >
typedef MatrixType::size_type	size_type

Public Member Functions
void	initialize (const MatrixType &A, const typename BaseClass::AdditionalData &parameters=typename BaseClass::AdditionalData())
template<class VectorType >
void	vmult (VectorType &, const VectorType &) const
template<class VectorType >
void	Tvmult (VectorType &, const VectorType &) const
template<class VectorType >
void	step (VectorType &x, const VectorType &rhs) const
template<class VectorType >
void	Tstep (VectorType &x, const VectorType &rhs) const
Public Member Functions inherited from PreconditionRelaxation< MatrixType >
void	initialize (const MatrixType &A, const AdditionalData &parameters=AdditionalData())
void	clear ()
size_type	m () const
size_type	n () const
Public Member Functions inherited from Subscriptor
	Subscriptor ()
	Subscriptor (const Subscriptor &)
	Subscriptor (Subscriptor &&) noexcept
virtual	~Subscriptor ()
Subscriptor &	operator= (const Subscriptor &)
Subscriptor &	operator= (Subscriptor &&) noexcept
void	subscribe (const char *identifier=nullptr) const
void	unsubscribe (const char *identifier=nullptr) const
unsigned int	n_subscriptions () const
void	list_subscribers () const
template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
std::vector< std::size_t >	pos_right_of_diagonal

Additional Inherited Members
Static Public Member Functions inherited from Subscriptor
static ::ExceptionBase &	ExcInUse (int arg1, std::string arg2, std::string arg3)
static ::ExceptionBase &	ExcNoSubscriber (std::string arg1, std::string arg2)
Protected Attributes inherited from PreconditionRelaxation< MatrixType >
SmartPointer< const MatrixType, PreconditionRelaxation< MatrixType > >	A
double	relaxation

Detailed Description

template<typename MatrixType = SparseMatrix<double>>
class PreconditionSSOR< MatrixType >

SSOR preconditioner using matrix built-in function. The MatrixType class used is required to have a function precondition_SSOR(VectorType&, const VectorType&, double). This class satisfies the relaxation concept.

    // Declare related objects

SparseMatrix<double> A;
Vector<double> x;
Vector<double> b;
SolverCG<> solver(...);

//...initialize and build A

// Define and initialize preconditioner

PreconditionSSOR<SparseMatrix<double> > precondition;
precondition.initialize (A, PreconditionSSOR<SparseMatrix<double> >::AdditionalData(.6));

solver.solve (A, x, b, precondition);

Author

Guido Kanschat, 2000

Definition at line 621 of file precondition.h.

Member Typedef Documentation

AdditionalData

template<typename MatrixType = SparseMatrix<double>>

typedef PreconditionRelaxation<MatrixType>::AdditionalData PreconditionSSOR< MatrixType >::AdditionalData

A typedef to the base class AdditionalData.

Definition at line 627 of file precondition.h.

size_type

template<typename MatrixType = SparseMatrix<double>>

typedef MatrixType::size_type PreconditionSSOR< MatrixType >::size_type

Declare type for container size.

Definition at line 632 of file precondition.h.

BaseClass

template<typename MatrixType = SparseMatrix<double>>

typedef PreconditionRelaxation<MatrixType> PreconditionSSOR< MatrixType >::BaseClass

A typedef to the base class.

Definition at line 637 of file precondition.h.

Member Function Documentation

initialize()

template<typename MatrixType = SparseMatrix<double>>

void PreconditionSSOR< MatrixType >::initialize	(	const MatrixType &	A,
		const typename BaseClass::AdditionalData &	parameters = typename BaseClass::AdditionalData()
	)

Initialize matrix and relaxation parameter. The matrix is just stored in the preconditioner object. The relaxation parameter should be larger than zero and smaller than 2 for numerical reasons. It defaults to 1.

vmult()

template<typename MatrixType = SparseMatrix<double>>

template<class VectorType >

void PreconditionSSOR< MatrixType >::vmult	(	VectorType &	,
		const VectorType &
	)		const

Apply preconditioner.

Tvmult()

template<typename MatrixType = SparseMatrix<double>>

template<class VectorType >

void PreconditionSSOR< MatrixType >::Tvmult	(	VectorType &	,
		const VectorType &
	)		const

Apply transpose preconditioner. Since this is a symmetric preconditioner, this function is the same as vmult().

step()

template<typename MatrixType = SparseMatrix<double>>

template<class VectorType >

void PreconditionSSOR< MatrixType >::step	(	VectorType &	x,
		const VectorType &	rhs
	)		const

Perform one step of the preconditioned Richardson iteration

Tstep()

template<typename MatrixType = SparseMatrix<double>>

template<class VectorType >

void PreconditionSSOR< MatrixType >::Tstep	(	VectorType &	x,
		const VectorType &	rhs
	)		const

Perform one transposed step of the preconditioned Richardson iteration.

Member Data Documentation

pos_right_of_diagonal

template<typename MatrixType = SparseMatrix<double>>

std::vector<std::size_t> PreconditionSSOR< MatrixType >::pos_right_of_diagonal

private

An array that stores for each matrix row where the first position after the diagonal is located.

Definition at line 679 of file precondition.h.

---

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

• deal.II/lac/precondition.h