IDR(s) is an efficient method for solving large nonsymmetric systems of linear equations. More...

#include <ginkgo/core/solver/idr.hpp>

Inheritance diagram for gko::solver::Idr< ValueType >:

Collaboration diagram for gko::solver::Idr< ValueType >:

Classes
class	Factory

struct	parameters_type

Public Types
using	value_type = ValueType

using	transposed_type = Idr< ValueType >

Public Types inherited from gko::EnablePolymorphicAssignment< Idr< ValueType > >
using	result_type = Idr< ValueType >

Public Types inherited from gko::ConvertibleTo< Idr< ValueType > >
using	result_type = Idr< ValueType >

Public Member Functions
std::unique_ptr< LinOp >	transpose () const override
	Returns a LinOp representing the transpose of the Transposable object. More...

std::unique_ptr< LinOp >	conj_transpose () const override
	Returns a LinOp representing the conjugate transpose of the Transposable object. More...

bool	apply_uses_initial_guess () const override
	Return true as iterative solvers use the data in x as an initial guess. More...

size_type	get_subspace_dim () const
	Gets the subspace dimension of the solver. More...

void	set_subspace_dim (const size_type other)
	Sets the subspace dimension of the solver. More...

remove_complex< ValueType >	get_kappa () const
	Gets the kappa parameter of the solver. More...

void	set_kappa (const remove_complex< ValueType > other)
	Sets the kappa parameter of the solver. More...

bool	get_deterministic () const
	Gets the deterministic parameter of the solver. More...

void	set_deterministic (const bool other)
	Sets the deterministic parameter of the solver. More...

bool	get_complex_subspace () const
	Gets the complex_subspace parameter of the solver. More...

void	set_complex_subpsace (const bool other)
	Sets the complex_subspace parameter of the solver. More...

void	set_complex_subspace (const bool other)
	Sets the complex_subspace parameter of the solver. More...

const parameters_type &	get_parameters () const

Public Member Functions inherited from gko::EnableLinOp< Idr< ValueType > >
const Idr< ValueType > *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) const

Idr< ValueType > *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x)

const Idr< ValueType > *	apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) const

Idr< ValueType > *	apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x)

Public Member Functions inherited from gko::EnableAbstractPolymorphicObject< Idr< ValueType >, LinOp >
std::unique_ptr< Idr< ValueType > >	create_default (std::shared_ptr< const Executor > exec) const

std::unique_ptr< Idr< ValueType > >	create_default () const

std::unique_ptr< Idr< ValueType > >	clone (std::shared_ptr< const Executor > exec) const

std::unique_ptr< Idr< ValueType > >	clone () const

Idr< ValueType > *	copy_from (const PolymorphicObject *other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, Idr< ValueType > > *	copy_from (std::unique_ptr< Derived > &&other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, Idr< ValueType > > *	copy_from (const std::unique_ptr< Derived > &other)

Idr< ValueType > *	copy_from (const std::shared_ptr< const PolymorphicObject > &other)

Idr< ValueType > *	move_from (ptr_param< PolymorphicObject > other)

Idr< ValueType > *	clear ()

Public Member Functions inherited from gko::LinOp
LinOp *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x)
	Applies a linear operator to a vector (or a sequence of vectors). More...

const LinOp *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) const

LinOp *	apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x)
	Performs the operation x = alpha * op(b) + beta * x. More...

const LinOp *	apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) const

const dim< 2 > &	get_size () const noexcept
	Returns the size of the operator. More...

LinOp &	operator= (const LinOp &)=default
	Copy-assigns a LinOp. More...

LinOp &	operator= (LinOp &&other)
	Move-assigns a LinOp. More...

	LinOp (const LinOp &)=default
	Copy-constructs a LinOp. More...

	LinOp (LinOp &&other)
	Move-constructs a LinOp. More...

Public Member Functions inherited from gko::EnableAbstractPolymorphicObject< LinOp >
std::unique_ptr< LinOp >	create_default (std::shared_ptr< const Executor > exec) const

std::unique_ptr< LinOp >	create_default () const

std::unique_ptr< LinOp >	clone (std::shared_ptr< const Executor > exec) const

std::unique_ptr< LinOp >	clone () const

LinOp *	copy_from (const PolymorphicObject *other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, LinOp > *	copy_from (std::unique_ptr< Derived > &&other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, LinOp > *	copy_from (const std::unique_ptr< Derived > &other)

LinOp *	copy_from (const std::shared_ptr< const PolymorphicObject > &other)

LinOp *	move_from (ptr_param< PolymorphicObject > other)

LinOp *	clear ()

Public Member Functions inherited from gko::PolymorphicObject
PolymorphicObject &	operator= (const PolymorphicObject &)

std::unique_ptr< PolymorphicObject >	create_default (std::shared_ptr< const Executor > exec) const
	Creates a new "default" object of the same dynamic type as this object. More...

std::unique_ptr< PolymorphicObject >	create_default () const
	Creates a new "default" object of the same dynamic type as this object. More...

std::unique_ptr< PolymorphicObject >	clone (std::shared_ptr< const Executor > exec) const
	Creates a clone of the object. More...

std::unique_ptr< PolymorphicObject >	clone () const
	Creates a clone of the object. More...

PolymorphicObject *	copy_from (const PolymorphicObject *other)
	Copies another object into this object. More...

template<typename Derived , typename Deleter >
std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, PolymorphicObject > *	copy_from (std::unique_ptr< Derived, Deleter > &&other)
	Moves another object into this object. More...

template<typename Derived , typename Deleter >
std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, PolymorphicObject > *	copy_from (const std::unique_ptr< Derived, Deleter > &other)
	Copies another object into this object. More...

PolymorphicObject *	copy_from (const std::shared_ptr< const PolymorphicObject > &other)
	Copies another object into this object. More...

PolymorphicObject *	move_from (ptr_param< PolymorphicObject > other)
	Moves another object into this object. More...

PolymorphicObject *	clear ()
	Transforms the object into its default state. More...

std::shared_ptr< const Executor >	get_executor () const noexcept
	Returns the Executor of the object. More...

Public Member Functions inherited from gko::log::EnableLogging< PolymorphicObject >
void	add_logger (std::shared_ptr< const Logger > logger) override

void	remove_logger (const Logger *logger) override

void	remove_logger (ptr_param< const Logger > logger)

const std::vector< std::shared_ptr< const Logger > > &	get_loggers () const override

void	clear_loggers () override

Public Member Functions inherited from gko::log::Loggable
void	remove_logger (ptr_param< const Logger > logger)

Public Member Functions inherited from gko::EnablePolymorphicAssignment< Idr< ValueType > >
void	convert_to (result_type *result) const override
	Converts the implementer to an object of type result_type. More...

void	move_to (result_type *result) override
	Converts the implementer to an object of type result_type by moving data from this object. More...

Public Member Functions inherited from gko::ConvertibleTo< Idr< ValueType > >
void	convert_to (ptr_param< result_type > result) const

void	move_to (ptr_param< result_type > result)

Public Member Functions inherited from gko::solver::EnablePreconditionedIterativeSolver< ValueType, Idr< ValueType > >
	EnablePreconditionedIterativeSolver (std::shared_ptr< const LinOp > system_matrix, std::shared_ptr< const stop::CriterionFactory > stop_factory, std::shared_ptr< const LinOp > preconditioner)

	EnablePreconditionedIterativeSolver (std::shared_ptr< const LinOp > system_matrix, const FactoryParameters &params)

Public Member Functions inherited from gko::solver::EnableSolverBase< Idr< ValueType > >
EnableSolverBase &	operator= (const EnableSolverBase &other)
	Creates a shallow copy of the provided system matrix, clones it onto this executor if executors don't match.

EnableSolverBase &	operator= (EnableSolverBase &&other)
	Moves the provided system matrix, clones it onto this executor if executors don't match. More...

	EnableSolverBase (std::shared_ptr< const LinOp > system_matrix)

	EnableSolverBase (const EnableSolverBase &other)
	Creates a shallow copy of the provided system matrix.

	EnableSolverBase (EnableSolverBase &&other)
	Moves the provided system matrix. More...

int	get_num_workspace_ops () const override

std::vector< std::string >	get_workspace_op_names () const override

std::vector< int >	get_workspace_scalars () const override
	Returns the IDs of all scalars (workspace vectors with system dimension-independent size, usually 1 x num_rhs).

std::vector< int >	get_workspace_vectors () const override
	Returns the IDs of all vectors (workspace vectors with system dimension-dependent size, usually system_matrix_size x num_rhs).

Public Member Functions inherited from gko::solver::SolverBase< LinOp >
std::shared_ptr< const LinOp >	get_system_matrix () const
	Returns the system matrix, with its concrete type, used by the solver. More...

Public Member Functions inherited from gko::solver::EnableIterativeBase< Idr< ValueType > >
EnableIterativeBase &	operator= (const EnableIterativeBase &other)
	Creates a shallow copy of the provided stopping criterion, clones it onto this executor if executors don't match.

EnableIterativeBase &	operator= (EnableIterativeBase &&other)
	Moves the provided stopping criterion, clones it onto this executor if executors don't match. More...

	EnableIterativeBase (std::shared_ptr< const stop::CriterionFactory > stop_factory)

	EnableIterativeBase (const EnableIterativeBase &other)
	Creates a shallow copy of the provided stopping criterion.

	EnableIterativeBase (EnableIterativeBase &&other)
	Moves the provided stopping criterion. More...

void	set_stop_criterion_factory (std::shared_ptr< const stop::CriterionFactory > new_stop_factory) override
	Sets the stopping criterion of the solver. More...

Public Member Functions inherited from gko::solver::IterativeBase
std::shared_ptr< const stop::CriterionFactory >	get_stop_criterion_factory () const
	Gets the stopping criterion factory of the solver. More...

Public Member Functions inherited from gko::solver::EnablePreconditionable< Idr< ValueType > >
void	set_preconditioner (std::shared_ptr< const LinOp > new_precond) override
	Sets the preconditioner operator used by the Preconditionable. More...

EnablePreconditionable &	operator= (const EnablePreconditionable &other)
	Creates a shallow copy of the provided preconditioner, clones it onto this executor if executors don't match.

EnablePreconditionable &	operator= (EnablePreconditionable &&other)
	Moves the provided preconditioner, clones it onto this executor if executors don't match. More...

	EnablePreconditionable (std::shared_ptr< const LinOp > preconditioner)

	EnablePreconditionable (const EnablePreconditionable &other)
	Creates a shallow copy of the provided preconditioner.

	EnablePreconditionable (EnablePreconditionable &&other)
	Moves the provided preconditioner. More...

Public Member Functions inherited from gko::Preconditionable
virtual std::shared_ptr< const LinOp >	get_preconditioner () const
	Returns the preconditioner operator used by the Preconditionable. More...

Static Public Member Functions
static auto	build () -> decltype(Factory ::create())

Friends
class	EnableLinOp< Idr >

class	EnablePolymorphicObject< Idr, LinOp >

Detailed Description

template<typename ValueType = default_precision>
class gko::solver::Idr< ValueType >

IDR(s) is an efficient method for solving large nonsymmetric systems of linear equations.

The implemented version is the one presented in the paper "Algorithm 913: An elegant IDR(s) variant that efficiently exploits biorthogonality properties" by M. B. Van Gijzen and P. Sonneveld.

The method is based on the induced dimension reduction theorem which provides a way to construct subsequent residuals that lie in a sequence of shrinking subspaces. These subspaces are spanned by s vectors which are first generated randomly and then orthonormalized. They are stored in a dense matrix.

Template Parameters

ValueType precision of the elements of the system matrix.

Member Function Documentation

◆ apply_uses_initial_guess()

template<typename ValueType = default_precision>

bool gko::solver::Idr< ValueType >::apply_uses_initial_guess ( ) const

inlineoverridevirtual

Return true as iterative solvers use the data in x as an initial guess.

Returns: true as iterative solvers use the data in x as an initial guess.

Reimplemented from gko::LinOp.

◆ conj_transpose()

template<typename ValueType = default_precision>

std::unique_ptr<LinOp> gko::solver::Idr< ValueType >::conj_transpose ( ) const

overridevirtual

Returns a LinOp representing the conjugate transpose of the Transposable object.

Returns: a pointer to the new conjugate transposed object

Implements gko::Transposable.

◆ get_complex_subspace()

template<typename ValueType = default_precision>

bool gko::solver::Idr< ValueType >::get_complex_subspace ( ) const

inline

Gets the complex_subspace parameter of the solver.

Returns: the complex_subspace parameter

References gko::solver::Idr< ValueType >::parameters_type::complex_subspace.

◆ get_deterministic()

template<typename ValueType = default_precision>

bool gko::solver::Idr< ValueType >::get_deterministic ( ) const

inline

Gets the deterministic parameter of the solver.

Returns: the deterministic parameter

References gko::solver::Idr< ValueType >::parameters_type::deterministic.

◆ get_kappa()

template<typename ValueType = default_precision>

remove_complex<ValueType> gko::solver::Idr< ValueType >::get_kappa ( ) const

inline

Gets the kappa parameter of the solver.

Returns: the kappa parameter

References gko::solver::Idr< ValueType >::parameters_type::kappa.

◆ get_subspace_dim()

template<typename ValueType = default_precision>

size_type gko::solver::Idr< ValueType >::get_subspace_dim ( ) const

inline

Gets the subspace dimension of the solver.

Returns: the subspace Dimension

References gko::solver::Idr< ValueType >::parameters_type::subspace_dim.

◆ set_complex_subpsace()

template<typename ValueType = default_precision>

void gko::solver::Idr< ValueType >::set_complex_subpsace ( const bool other )

inline

Sets the complex_subspace parameter of the solver.

Parameters

other the new complex_subspace parameter

References gko::solver::Idr< ValueType >::set_complex_subspace().

◆ set_complex_subspace()

template<typename ValueType = default_precision>

void gko::solver::Idr< ValueType >::set_complex_subspace ( const bool other )

inline

Sets the complex_subspace parameter of the solver.

Parameters

other the new complex_subspace parameter

References gko::solver::Idr< ValueType >::parameters_type::complex_subspace.

Referenced by gko::solver::Idr< ValueType >::set_complex_subpsace().

◆ set_deterministic()

template<typename ValueType = default_precision>

void gko::solver::Idr< ValueType >::set_deterministic ( const bool other )

inline

Sets the deterministic parameter of the solver.

Parameters

other the new deterministic parameter

References gko::solver::Idr< ValueType >::parameters_type::deterministic.

◆ set_kappa()

template<typename ValueType = default_precision>

void gko::solver::Idr< ValueType >::set_kappa ( const remove_complex< ValueType > other )

inline

Sets the kappa parameter of the solver.

Parameters

other the new kappa parameter

References gko::solver::Idr< ValueType >::parameters_type::kappa.

◆ set_subspace_dim()

template<typename ValueType = default_precision>

void gko::solver::Idr< ValueType >::set_subspace_dim ( const size_type other )

inline

Sets the subspace dimension of the solver.

Parameters

other the new subspace Dimension

References gko::solver::Idr< ValueType >::parameters_type::subspace_dim.

◆ transpose()

template<typename ValueType = default_precision>

std::unique_ptr<LinOp> gko::solver::Idr< ValueType >::transpose ( ) const

overridevirtual

Returns a LinOp representing the transpose of the Transposable object.

Returns: a pointer to the new transposed object

Implements gko::Transposable.

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

ginkgo/core/solver/idr.hpp

Classes

Public Types

Public Member Functions

Static Public Member Functions

Friends

Detailed Description

template<typename ValueType = default_precision> class gko::solver::Idr< ValueType >

Member Function Documentation

◆ apply_uses_initial_guess()

◆ conj_transpose()

◆ get_complex_subspace()

◆ get_deterministic()

◆ get_kappa()

◆ get_subspace_dim()

◆ set_complex_subpsace()

◆ set_complex_subspace()

◆ set_deterministic()

◆ set_kappa()

◆ set_subspace_dim()

◆ transpose()

template<typename ValueType = default_precision>
class gko::solver::Idr< ValueType >