Minimal Residual Method (MINRES) More...

#include <dune/istl/solvers.hh>

Inheritance diagram for Dune::MINRESSolver< X >:

Public Types
typedef X	domain_type
	Type of the domain of the operator to be inverted.

typedef Y	range_type
	Type of the range of the operator to be inverted.

typedef X::field_type	field_type
	The field type of the operator.

typedef FieldTraits< field_type >::real_type	real_type
	The real type of the field type (is the same if using real numbers, but differs for std::complex)

typedef Simd::Scalar< real_type >	scalar_real_type
	scalar type underlying the field_type

Public Member Functions
virtual void	apply (X &x, X &b, InverseOperatorResult &res)
	Apply inverse operator.

virtual void	apply (X &x, X &b, double reduction, InverseOperatorResult &res)
	Apply inverse operator with given reduction factor.

virtual void	apply (X &x, Y &b, InverseOperatorResult &res)=0
	Apply inverse operator,.

virtual void	apply (X &x, Y &b, double reduction, InverseOperatorResult &res)=0
	apply inverse operator, with given convergence criteria.

virtual SolverCategory::Category	category () const
	Category of the solver (see SolverCategory::Category)

std::string	name () const

Protected Types
using	Iteration = typename IterativeSolver< X, X >::template Iteration< unsigned int >

enum	{ iterationSpacing = 5 , normSpacing = 16 }

Protected Member Functions
void	printHeader (std::ostream &s) const
	helper function for printing header of solver output

template<typename CountType , typename DataType >
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm, const DataType &norm_old) const
	helper function for printing solver output

template<typename CountType , typename DataType >
void	printOutput (std::ostream &s, const CountType &iter, const DataType &norm) const
	helper function for printing solver output

Protected Attributes
std::shared_ptr< LinearOperator< X, X > >	_op

std::shared_ptr< Preconditioner< X, X > >	_prec

std::shared_ptr< ScalarProduct< X > >	_sp

scalar_real_type	_reduction

int	_maxit

int	_verbose

SolverCategory::Category	_category

Detailed Description

template<class X>
class Dune::MINRESSolver< X >

Minimal Residual Method (MINRES)

Symmetrically Preconditioned MINRES as in A. Greenbaum, 'Iterative Methods for Solving Linear Systems', pp. 121 Iterative solver for symmetric indefinite operators. Note that in order to ensure the (symmetrically) preconditioned system to remain symmetric, the preconditioner has to be spd.

Member Typedef Documentation

◆ domain_type

template<class X , class Y >

typedef X Dune::InverseOperator< X, Y >::domain_type

inherited

Type of the domain of the operator to be inverted.

◆ field_type

template<class X , class Y >

typedef X::field_type Dune::InverseOperator< X, Y >::field_type

inherited

The field type of the operator.

◆ Iteration

template<class X >

using Dune::MINRESSolver< X >::Iteration = typename IterativeSolver<X,X>::template Iteration<unsigned int>

protected

◆ range_type

template<class X , class Y >

typedef Y Dune::InverseOperator< X, Y >::range_type

inherited

Type of the range of the operator to be inverted.

◆ real_type

template<class X , class Y >

typedef FieldTraits<field_type>::real_type Dune::InverseOperator< X, Y >::real_type

inherited

The real type of the field type (is the same if using real numbers, but differs for std::complex)

◆ scalar_real_type

template<class X , class Y >

typedef Simd::Scalar<real_type> Dune::InverseOperator< X, Y >::scalar_real_type

inherited

scalar type underlying the field_type

Member Enumeration Documentation

◆ anonymous enum

template<class X , class Y >

anonymous enum

protectedinherited

Enumerator
iterationSpacing
normSpacing

Member Function Documentation

◆ apply() [1/4]

virtual void Dune::IterativeSolver< X, X >::apply	(	X &	x,
		X &	b,
		double	reduction,
		InverseOperatorResult &	res
	)

inlinevirtualinherited

Apply inverse operator with given reduction factor.

apply inverse operator, with given convergence criteria.

Warning: Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

◆ apply() [2/4]

template<class X >

virtual void Dune::MINRESSolver< X >::apply	(	X &	x,
		X &	b,
		InverseOperatorResult &	res
	)

inlinevirtual

Apply inverse operator.

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

◆ apply() [3/4]

template<class X , class Y >

virtual void Dune::InverseOperator< X, Y >::apply	(	X &	x,
		Y &	b,
		double	reduction,
		InverseOperatorResult &	res
	)

pure virtualinherited

apply inverse operator, with given convergence criteria.

Warning: Right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
reduction	The minimum defect reduction to achieve.
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

Implemented in Dune::RestartedGMResSolver< X, Y, F >, and Dune::RestartedFlexibleGMResSolver< X, Y, F >.

◆ apply() [4/4]

template<class X , class Y >

virtual void Dune::InverseOperator< X, Y >::apply	(	X &	x,
		Y &	b,
		InverseOperatorResult &	res
	)

pure virtualinherited

Apply inverse operator,.

Warning: Note: right hand side b may be overwritten!

Parameters

x	The left hand side to store the result in.
b	The right hand side
res	Object to store the statistics about applying the operator.

Exceptions

SolverAbort When the solver detects a problem and cannot continue

Implemented in Dune::RestartedGMResSolver< X, Y, F >.

◆ category()

virtual SolverCategory::Category Dune::IterativeSolver< X, X >::category ( ) const

inlinevirtualinherited

Category of the solver (see SolverCategory::Category)

Implements Dune::InverseOperator< X, Y >.

◆ name()

std::string Dune::IterativeSolver< X, X >::name ( ) const

inlineinherited

◆ printHeader()

template<class X , class Y >

void Dune::InverseOperator< X, Y >::printHeader ( std::ostream & s ) const

inlineprotectedinherited

helper function for printing header of solver output

◆ printOutput() [1/2]

template<class X , class Y >

template<typename CountType , typename DataType >

void Dune::InverseOperator< X, Y >::printOutput	(	std::ostream &	s,
		const CountType &	iter,
		const DataType &	norm
	)		const

inlineprotectedinherited

helper function for printing solver output

◆ printOutput() [2/2]

template<class X , class Y >

template<typename CountType , typename DataType >

void Dune::InverseOperator< X, Y >::printOutput	(	std::ostream &	s,
		const CountType &	iter,
		const DataType &	norm,
		const DataType &	norm_old
	)		const

inlineprotectedinherited

helper function for printing solver output

Member Data Documentation

◆ _category

SolverCategory::Category Dune::IterativeSolver< X, X >::_category

protectedinherited

◆ _maxit

int Dune::IterativeSolver< X, X >::_maxit

protectedinherited

◆ _op

std::shared_ptr<LinearOperator<X,X > > Dune::IterativeSolver< X, X >::_op

protectedinherited

◆ _prec

std::shared_ptr<Preconditioner<X,X > > Dune::IterativeSolver< X, X >::_prec

protectedinherited

◆ _reduction

scalar_real_type Dune::IterativeSolver< X, X >::_reduction

protectedinherited

◆ _sp

std::shared_ptr<ScalarProduct<X> > Dune::IterativeSolver< X, X >::_sp

protectedinherited

◆ _verbose

int Dune::IterativeSolver< X, X >::_verbose

protectedinherited

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

solvers.hh

Public Types

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

Detailed Description

Member Typedef Documentation

◆ domain_type

◆ field_type

◆ Iteration

◆ range_type

◆ real_type

◆ scalar_real_type

Member Enumeration Documentation

◆ anonymous enum

Member Function Documentation

◆ apply() [1/4]

◆ apply() [2/4]

◆ apply() [3/4]

◆ apply() [4/4]

◆ category()

◆ name()

◆ printHeader()

◆ printOutput() [1/2]

◆ printOutput() [2/2]

Member Data Documentation

◆ _category

◆ _maxit

◆ _op

◆ _prec

◆ _reduction

◆ _sp

◆ _verbose