Inheritance diagram for SolverIDR< VectorType >:

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

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

virtual	~SolverIDR () override=default

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

Public Member Functions inherited from SolverBase< Vector< double > >
	SolverBase (SolverControl &solver_control, VectorMemory< Vector< double > > &vector_memory)

	SolverBase (SolverControl &solver_control)

boost::signals2::connection	connect (const std::function< SolverControl::State(const unsigned int iteration, const double check_value, const Vector< double > &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 (std::atomic< bool > *const validity, const std::string &identifier="") const

void	unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") 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)

Protected Member Functions
virtual void	print_vectors (const unsigned int step, const VectorType &x, const VectorType &r, const VectorType &d) const

Additional Inherited Members
Public Types inherited from SolverBase< Vector< double > >
using	vector_type = Vector< double >

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 SolverBase< Vector< double > >
GrowingVectorMemory< Vector< double > >	static_vector_memory

VectorMemory< Vector< double > > &	memory

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

Detailed Description

This class implements the IDR(s) method used for solving nonsymmetric, indefinite linear systems, developed in IDR(s): A Family of Simple and Fast Algorithms for Solving Large Nonsymmetric Systems of Linear Equations by Martin B. van Gijzen and Peter Sonneveld . The implementation here is the preconditioned version from Algorithm 913: An Elegant IDR(s) Variant that Efficiently Exploits Biorthogonality Properties by Martin B. van Gijzen and Peter Sonneveld. The local structure AdditionalData takes the value for the parameter s which can be any integer greater than or equal to 1. For s=1, this method has similar convergence to BiCGStab.

Note: Each iteration of IDR(s) requires s+1 preconditioning steps and matrix-vector products. In this implementation the residual is updated and convergence is checked after each of these inner steps inside the outer iteration. If the user enables the history data, the residual at each of these steps is stored and therefore there will be multiple values per iteration.

Definition at line 118 of file solver_idr.h.