Arcane::Alina::SPAI1Relaxation< Backend > Struct Template Reference

Sparse approximate interface smoother. More...

#include </__w/arcaneframework.github.io/arcaneframework.github.io/framework/arccore/src/alina/arccore/alina/Relaxation.h>

Inheritance diagram for Arcane::Alina::SPAI1Relaxation< Backend >:

Collaboration diagram for Arcane::Alina::SPAI1Relaxation< Backend >:

Public Types
typedef Backend::value_type	value_type
typedef Backend::vector	vector
typedef math::scalar_of< value_type >::type	scalar_type
typedef Alina::detail::empty_params	params
	Relaxation parameters.

Public Member Functions
template<class Matrix>
	SPAI1Relaxation (const Matrix &A, const params &, const typename Backend::params &backend_prm)
	Constructs smoother for the system matrix.
template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>
void	apply_pre (const Matrix &A, const VectorRHS &rhs, VectorX &x, VectorTMP &tmp) const
	Apply pre-relaxation.
template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>
void	apply_post (const Matrix &A, const VectorRHS &rhs, VectorX &x, VectorTMP &tmp) const
	Apply post-relaxation.
template<class Matrix, class VectorRHS, class VectorX>
void	apply (const Matrix &, const VectorRHS &rhs, VectorX &x) const
size_t	bytes () const
	Memory used in bytes.

Public Attributes
std::shared_ptr< typename Backend::matrix >	M

Detailed Description

template<class Backend>
struct Arcane::Alina::SPAI1Relaxation< Backend >

Sparse approximate interface smoother.

Sparsity pattern of the approximate inverse matrix coincides with that of A.

Template Parameters

Backend

Backend for temporary structures allocation.

See also

[Broker2002]

Definition at line 1962 of file Relaxation.h.

Member Typedef Documentation

params

template<class Backend>

typedef Alina::detail::empty_params Arcane::Alina::SPAI1Relaxation< Backend >::params

Relaxation parameters.

Definition at line 1971 of file Relaxation.h.

scalar_type

template<class Backend>

typedef math::scalar_of<value_type>::type Arcane::Alina::SPAI1Relaxation< Backend >::scalar_type

Definition at line 1968 of file Relaxation.h.

value_type

template<class Backend>

typedef Backend::value_type Arcane::Alina::SPAI1Relaxation< Backend >::value_type

Definition at line 1965 of file Relaxation.h.

vector

template<class Backend>

typedef Backend::vector Arcane::Alina::SPAI1Relaxation< Backend >::vector

Definition at line 1966 of file Relaxation.h.

Constructor & Destructor Documentation

SPAI1Relaxation()

template<class Backend>

template<class Matrix>

Arcane::Alina::SPAI1Relaxation< Backend >::SPAI1Relaxation ( const Matrix & A, const params & , const typename Backend::params & backend_prm )

inline

Constructs smoother for the system matrix.

Parameters

A	The system matrix.
prm	Relaxation parameters.
backend_prm	Backend parameters.

Definition at line 1975 of file Relaxation.h.

References Arcane::arccoreParallelFor().

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Member Function Documentation

apply()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX>

void Arcane::Alina::SPAI1Relaxation< Backend >::apply ( const Matrix & , const VectorRHS & rhs, VectorX & x ) const

inline

Definition at line 2052 of file Relaxation.h.

apply_post()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>

void Arcane::Alina::SPAI1Relaxation< Backend >::apply_post ( const Matrix & A, const VectorRHS & rhs, VectorX & x, VectorTMP & tmp ) const

inline

Apply post-relaxation.

Parameters

A	System matrix.
rhs	Right-hand side.
x	Solution vector.
tmp	Scratch vector.
prm	Relaxation parameters.

Definition at line 2045 of file Relaxation.h.

apply_pre()

template<class Backend>

template<class Matrix, class VectorRHS, class VectorX, class VectorTMP>

void Arcane::Alina::SPAI1Relaxation< Backend >::apply_pre ( const Matrix & A, const VectorRHS & rhs, VectorX & x, VectorTMP & tmp ) const

inline

Apply pre-relaxation.

Parameters

A	System matrix.
rhs	Right-hand side.
x	Solution vector.
tmp	Scratch vector.
prm	Relaxation parameters.

Definition at line 2037 of file Relaxation.h.

bytes()

template<class Backend>

size_t Arcane::Alina::SPAI1Relaxation< Backend >::bytes ( ) const

inlinevirtual

Memory used in bytes.

Implements Arcane::Alina::RelaxationBase.

Definition at line 2057 of file Relaxation.h.

Member Data Documentation

M

template<class Backend>

std::shared_ptr<typename Backend::matrix> Arcane::Alina::SPAI1Relaxation< Backend >::M

Definition at line 2062 of file Relaxation.h.

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

• Relaxation.h