The Incomplete LU (ILU) preconditioner solves the equation $LUx = b$ for a given lower triangular matrix L, an upper triangular matrix U and the right hand side b (can contain multiple right hand sides). More...

#include <ginkgo/core/preconditioner/ilu.hpp>

Inheritance diagram for gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >:

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Collaboration diagram for gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >:

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Classes
class	Factory

struct	parameters_type

Public Types
using	value_type = typename LSolverType::value_type

using	l_solver_type = LSolverType

using	u_solver_type = USolverType

using	index_type = IndexType

using	transposed_type = Ilu< typename USolverType::transposed_type, typename LSolverType::transposed_type, ReverseApply, IndexType >

Public Types inherited from gko::EnablePolymorphicAssignment< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >
using	result_type = Ilu< LSolverType, USolverType, ReverseApply, IndexType >

Public Types inherited from gko::ConvertibleTo< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >
using	result_type = Ilu< LSolverType, USolverType, ReverseApply, IndexType >

Public Member Functions
const parameters_type &	get_parameters () const

std::shared_ptr< const l_solver_type >	get_l_solver () const
	Returns the solver which is used for the provided L matrix. More...

std::shared_ptr< const u_solver_type >	get_u_solver () const
	Returns the solver which is used for the provided U matrix. More...

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...

Ilu &	operator= (const Ilu &other)
	Copy-assigns an ILU preconditioner. More...

Ilu &	operator= (Ilu &&other)
	Move-assigns an ILU preconditioner. More...

	Ilu (const Ilu &other)
	Copy-constructs an ILU preconditioner. More...

	Ilu (Ilu &&other)
	Move-constructs an ILU preconditioner. More...

Public Member Functions inherited from gko::EnableLinOp< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >
const Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x) const

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	apply (ptr_param< const LinOp > b, ptr_param< LinOp > x)

const Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	apply (ptr_param< const LinOp > alpha, ptr_param< const LinOp > b, ptr_param< const LinOp > beta, ptr_param< LinOp > x) const

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	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< Ilu< LSolverType, USolverType, ReverseApply, IndexType >, LinOp >
std::unique_ptr< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >	create_default (std::shared_ptr< const Executor > exec) const

std::unique_ptr< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >	create_default () const

std::unique_ptr< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >	clone (std::shared_ptr< const Executor > exec) const

std::unique_ptr< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >	clone () const

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	copy_from (const PolymorphicObject *other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, Ilu< LSolverType, USolverType, ReverseApply, IndexType > > *	copy_from (std::unique_ptr< Derived > &&other)

std::enable_if_t< std::is_base_of< PolymorphicObject, std::decay_t< Derived > >::value, Ilu< LSolverType, USolverType, ReverseApply, IndexType > > *	copy_from (const std::unique_ptr< Derived > &other)

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	copy_from (const std::shared_ptr< const PolymorphicObject > &other)

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	move_from (ptr_param< PolymorphicObject > other)

Ilu< LSolverType, USolverType, ReverseApply, IndexType > *	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...

virtual bool	apply_uses_initial_guess () const
	Returns true if the linear operator uses the data given in x as an initial guess. 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< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >
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< Ilu< LSolverType, USolverType, ReverseApply, IndexType > >
void	convert_to (ptr_param< result_type > result) const

void	move_to (ptr_param< result_type > result)

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

Static Public Attributes
static constexpr bool	performs_reverse_apply = ReverseApply

Friends
class	EnableLinOp< Ilu >

class	EnablePolymorphicObject< Ilu, LinOp >

Detailed Description

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>
class gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >

The Incomplete LU (ILU) preconditioner solves the equation $LUx = b$ for a given lower triangular matrix L, an upper triangular matrix U and the right hand side b (can contain multiple right hand sides).

It allows to set both the solver for L and the solver for U independently, while providing the defaults solver::LowerTrs and solver::UpperTrs, which are direct triangular solvers. For these solvers, a factory can be provided (with with_l_solver and with_u_solver) to have more control over their behavior. In particular, it is possible to use an iterative method for solving the triangular systems. The default parameters for an iterative triangluar solver are:

reduction factor = 1e-4
max iteration = <number of="" rows="" of="" the="" matrix="" given="" to="" the="" solver>=""> Solvers without such criteria can also be used, in which case none are set.

An object of this class can be created with a matrix or a gko::Composition containing two matrices. If created with a matrix, it is factorized before creating the solver. If a gko::Composition (containing two matrices) is used, the first operand will be taken as the L matrix, the second will be considered the U matrix. ParIlu can be directly used, since it orders the factors in the correct way.

Note: When providing a gko::Composition, the first matrix must be the lower matrix ( ), and the second matrix must be the upper matrix ( ). If they are swapped, solving might crash or return the wrong result.; Do not use symmetric solvers (like CG) for L or U solvers since both matrices (L and U) are, by design, not symmetric.; This class is not thread safe (even a const object is not) because it uses an internal cache to accelerate multiple (sequential) applies. Using it in parallel can lead to segmentation faults, wrong results and other unwanted behavior.

Template Parameters

LSolverType	type of the solver used for the L matrix. Defaults to solver::LowerTrs
USolverType	type of the solver used for the U matrix Defaults to solver::UpperTrs
ReverseApply	default behavior (ReverseApply = false) is first to solve with L (Ly = b) and then with U (Ux = y). When set to true, it will solve first with U, and then with L.
IndexTypeParIlu	Type of the indices when ParIlu is used to generate both L and U factors. Irrelevant otherwise.

Constructor & Destructor Documentation

◆ Ilu() [1/2]

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::Ilu ( const Ilu< LSolverType, USolverType, ReverseApply, IndexType > & other )

inline

Copy-constructs an ILU preconditioner.

Inherits the executor, shallow-copies the solvers and parameters.

References gko::PolymorphicObject::get_executor().

◆ Ilu() [2/2]

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::Ilu ( Ilu< LSolverType, USolverType, ReverseApply, IndexType > && other )

inline

Move-constructs an ILU preconditioner.

Inherits the executor, moves the solvers and parameters. The moved-from object is empty (0x0 with nullptr solvers and default parameters)

References gko::PolymorphicObject::get_executor().

Member Function Documentation

◆ conj_transpose()

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

std::unique_ptr<LinOp> gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::conj_transpose ( ) const

inlineoverridevirtual

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

Returns: a pointer to the new conjugate transposed object

Implements gko::Transposable.

References gko::PolymorphicObject::get_executor(), gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_l_solver(), gko::LinOp::get_size(), gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_u_solver(), gko::share(), and gko::transpose().

◆ get_l_solver()

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

std::shared_ptr<const l_solver_type> gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_l_solver ( ) const

inline

Returns the solver which is used for the provided L matrix.

Returns: the solver which is used for the provided L matrix

Referenced by gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::conj_transpose(), and gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::transpose().

◆ get_u_solver()

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

std::shared_ptr<const u_solver_type> gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_u_solver ( ) const

inline

Returns the solver which is used for the provided U matrix.

Returns: the solver which is used for the provided U matrix

Referenced by gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::conj_transpose(), and gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::transpose().

◆ operator=() [1/2]

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

Ilu& gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::operator= ( const Ilu< LSolverType, USolverType, ReverseApply, IndexType > & other )

inline

Copy-assigns an ILU preconditioner.

Preserves the executor, shallow-copies the solvers and parameters. Creates a clone of the solvers if they are on the wrong executor.

References gko::clone(), and gko::PolymorphicObject::get_executor().

◆ operator=() [2/2]

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

Ilu& gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::operator= ( Ilu< LSolverType, USolverType, ReverseApply, IndexType > && other )

inline

Move-assigns an ILU preconditioner.

Preserves the executor, moves the solvers and parameters. Creates a clone of the solvers if they are on the wrong executor. The moved-from object is empty (0x0 with nullptr solvers and default parameters)

References gko::clone(), and gko::PolymorphicObject::get_executor().

◆ transpose()

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>

std::unique_ptr<LinOp> gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::transpose ( ) const

inlineoverridevirtual

Returns a LinOp representing the transpose of the Transposable object.

Returns: a pointer to the new transposed object

Implements gko::Transposable.

References gko::PolymorphicObject::get_executor(), gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_l_solver(), gko::LinOp::get_size(), gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >::get_u_solver(), gko::share(), and gko::transpose().

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

ginkgo/core/preconditioner/ilu.hpp

Classes

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Friends

Detailed Description

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32> class gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >

Constructor & Destructor Documentation

◆ Ilu() [1/2]

◆ Ilu() [2/2]

Member Function Documentation

◆ conj_transpose()

◆ get_l_solver()

◆ get_u_solver()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ transpose()

template<typename LSolverType = solver::LowerTrs<>, typename USolverType = solver::UpperTrs<>, bool ReverseApply = false, typename IndexType = int32>
class gko::preconditioner::Ilu< LSolverType, USolverType, ReverseApply, IndexType >