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

Inheritance diagram for SolverFGMRES< VectorType >:

Classes
struct	AdditionalData

Public Member Functions
	SolverFGMRES (SolverControl &cn, VectorMemory< VectorType > &mem, const AdditionalData &data=AdditionalData())

	SolverFGMRES (SolverControl &cn, const AdditionalData &data=AdditionalData())

template<typename MatrixType , typename PreconditionerType >
void	solve (const MatrixType &A, VectorType &x, const VectorType &b, const PreconditionerType &preconditioner)

Public Member Functions inherited from Solver< VectorType >
	Solver (SolverControl &solver_control, VectorMemory< VectorType > &vector_memory)

	Solver (SolverControl &solver_control)

boost::signals2::connection	connect (const std::function< SolverControl::State(const unsigned int iteration, const doublecheck_value, const VectorType &current_iterate)> &slot)

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

template<typename StreamType >
void	list_subscribers (StreamType &stream) const

void	list_subscribers () const

template<class Archive >
void	serialize (Archive &ar, const unsigned int version)

Private Attributes
AdditionalData	additional_data

FullMatrix< double >	H

FullMatrix< double >	H1

Additional Inherited Members
Public Types inherited from Solver< VectorType >
using	vector_type = VectorType

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 Solver< VectorType >
GrowingVectorMemory< VectorType >	static_vector_memory

VectorMemory< VectorType > &	memory

boost::signals2::signal< SolverControl::State(const unsigned int iteration, const double check_value, const VectorType &current_iterate), StateCombiner >	iteration_status

Detailed Description

template<class VectorType = Vector<double>>
class SolverFGMRES< VectorType >

Implementation of the Generalized minimal residual method with flexible preconditioning method.

This version of the GMRES method allows for the use of a different preconditioner in each iteration step. Therefore, it is also more robust with respect to inaccurate evaluation of the preconditioner. An important application is also the use of a Krylov space method inside the preconditioner. As opposed to SolverGMRES which allows one to choose between left and right preconditioning, this solver always applies the preconditioner from the right.

FGMRES needs two vectors in each iteration steps yielding a total of 2*SolverFGMRES::AdditionalData::max_basis_size+1 auxiliary vectors.

Caveat: Documentation of this class is not up to date. There are also a few parameters of GMRES we would like to introduce here.

Author: Guido Kanschat, 2003

Definition at line 465 of file solver_gmres.h.