A stochastic preconditioner based on applying one iteration of approximate Gauss-Seidel. More...

#include <Stokhos_ApproxGaussSeidelPreconditioner.hpp>

Inheritance diagram for Stokhos::ApproxGaussSeidelPreconditioner:

Public Member Functions
	ApproxGaussSeidelPreconditioner (const Teuchos::RCP< const EpetraExt::MultiComm > &sg_comm, const Teuchos::RCP< const Stokhos::OrthogPolyBasis< int, double > > &sg_basis, const Teuchos::RCP< const Stokhos::EpetraSparse3Tensor > &epetraCijk, const Teuchos::RCP< const Epetra_Map > &base_map, const Teuchos::RCP< const Epetra_Map > &sg_map, const Teuchos::RCP< Stokhos::AbstractPreconditionerFactory > &prec_factory, const Teuchos::RCP< Teuchos::ParameterList > &params)
	Constructor. More...

virtual	~ApproxGaussSeidelPreconditioner ()
	Destructor. More...

Public Member Functions inherited from Stokhos::SGPreconditioner
	SGPreconditioner ()
	Constructor. More...

virtual	~SGPreconditioner ()
	Destructor. More...

Protected Types
typedef Stokhos::Sparse3Tensor < int, double >	Cijk_type
	Short-hand for Cijk. More...

Protected Attributes
std::string	label
	Label for operator. More...

Teuchos::RCP< const EpetraExt::MultiComm >	sg_comm
	Stores SG parallel communicator. More...

Teuchos::RCP< const Stokhos::OrthogPolyBasis< int, double > >	sg_basis
	Stochastic Galerking basis. More...

Teuchos::RCP< const Stokhos::EpetraSparse3Tensor >	epetraCijk
	Stores Epetra Cijk tensor. More...

Teuchos::RCP< const Epetra_Map >	base_map
	Stores base map. More...

Teuchos::RCP< const Epetra_Map >	sg_map
	Stores SG map. More...

Teuchos::RCP < Stokhos::AbstractPreconditionerFactory >	prec_factory
	Stores factory for building mean preconditioner. More...

Teuchos::RCP< Epetra_Operator >	mean_prec
	Stores mean preconditioner. More...

bool	useTranspose
	Flag indicating whether transpose was selected. More...

Teuchos::RCP< Stokhos::SGOperator >	sg_op
	Pointer to the SG operator. More...

Teuchos::RCP < Stokhos::EpetraOperatorOrthogPoly >	sg_poly
	Pointer to the PCE expansion of Jacobian. More...

Teuchos::RCP< const Cijk_type >	Cijk
	Pointer to triple product. More...

bool	scale_op
	Flag indicating whether operator be scaled with <^2> More...

bool	symmetric
	Use symmetric Gauss-Seidel. More...

bool	only_use_linear
	Limit Gauss-Seidel loop to linear terms. More...

Teuchos::RCP< Epetra_MultiVector >	mat_vec_tmp
	Temporary vector for storing matrix-vector products. More...

Teuchos::RCP < EpetraExt::BlockMultiVector >	rhs_block
	Temporary vector for storing rhs in Gauss-Seidel loop. More...

Private Member Functions
	ApproxGaussSeidelPreconditioner (const ApproxGaussSeidelPreconditioner &)
	Private to prohibit copying. More...

ApproxGaussSeidelPreconditioner &	operator= (const ApproxGaussSeidelPreconditioner &)
	Private to prohibit copying. More...

Stokhos::SGPreconditioner methods
virtual void	setupPreconditioner (const Teuchos::RCP< Stokhos::SGOperator > &sg_op, const Epetra_Vector &x)
	Setup preconditioner. More...

Epetra_Operator methods
virtual int	SetUseTranspose (bool UseTranspose)
	Set to true if the transpose of the operator is requested. More...

virtual int	Apply (const Epetra_MultiVector &Input, Epetra_MultiVector &Result) const
	Returns the result of a Epetra_Operator applied to a Epetra_MultiVector Input in Result as described above. More...

virtual int	ApplyInverse (const Epetra_MultiVector &X, Epetra_MultiVector &Y) const
	Returns the result of the inverse of the operator applied to a Epetra_MultiVector Input in Result as described above. More...

virtual double	NormInf () const
	Returns an approximate infinity norm of the operator matrix. More...

virtual const char *	Label () const
	Returns a character string describing the operator. More...

virtual bool	UseTranspose () const
	Returns the current UseTranspose setting. More...

virtual bool	HasNormInf () const
	Returns true if the this object can provide an approximate Inf-norm, false otherwise. More...

virtual const Epetra_Comm &	Comm () const
	Returns a reference to the Epetra_Comm communicator associated with this operator. More...

virtual const Epetra_Map &	OperatorDomainMap () const
	Returns the Epetra_Map object associated with the domain of this matrix operator. More...

virtual const Epetra_Map &	OperatorRangeMap () const
	Returns the Epetra_Map object associated with the range of this matrix operator. More...

Detailed Description

A stochastic preconditioner based on applying one iteration of approximate Gauss-Seidel.

Definition at line 30 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Member Typedef Documentation

typedef Stokhos::Sparse3Tensor<int,double> Stokhos::ApproxGaussSeidelPreconditioner::Cijk_type

protected

Short-hand for Cijk.

Definition at line 156 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Constructor & Destructor Documentation

Stokhos::ApproxGaussSeidelPreconditioner::ApproxGaussSeidelPreconditioner	(	const Teuchos::RCP< const EpetraExt::MultiComm > &	sg_comm,
		const Teuchos::RCP< const Stokhos::OrthogPolyBasis< int, double > > &	sg_basis,
		const Teuchos::RCP< const Stokhos::EpetraSparse3Tensor > &	epetraCijk,
		const Teuchos::RCP< const Epetra_Map > &	base_map,
		const Teuchos::RCP< const Epetra_Map > &	sg_map,
		const Teuchos::RCP< Stokhos::AbstractPreconditionerFactory > &	prec_factory,
		const Teuchos::RCP< Teuchos::ParameterList > &	params
	)

Constructor.

Definition at line 14 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

Stokhos::ApproxGaussSeidelPreconditioner::~ApproxGaussSeidelPreconditioner ( )

virtual

Destructor.

Definition at line 46 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

Stokhos::ApproxGaussSeidelPreconditioner::ApproxGaussSeidelPreconditioner ( const ApproxGaussSeidelPreconditioner & )

private

Private to prohibit copying.

Member Function Documentation

void Stokhos::ApproxGaussSeidelPreconditioner::setupPreconditioner	(	const Teuchos::RCP< Stokhos::SGOperator > &	sg_op,
		const Epetra_Vector &	x
	)

virtual

Setup preconditioner.

Implements Stokhos::SGPreconditioner.

Definition at line 52 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

int Stokhos::ApproxGaussSeidelPreconditioner::SetUseTranspose ( bool UseTranspose )

virtual

Set to true if the transpose of the operator is requested.

Implements Epetra_Operator.

Definition at line 65 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

int Stokhos::ApproxGaussSeidelPreconditioner::Apply	(	const Epetra_MultiVector &	Input,
		Epetra_MultiVector &	Result
	)		const

virtual

Returns the result of a Epetra_Operator applied to a Epetra_MultiVector Input in Result as described above.

Implements Epetra_Operator.

Definition at line 76 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

int Stokhos::ApproxGaussSeidelPreconditioner::ApplyInverse	(	const Epetra_MultiVector &	X,
		Epetra_MultiVector &	Y
	)		const

virtual

Returns the result of the inverse of the operator applied to a Epetra_MultiVector Input in Result as described above.

Implements Epetra_Operator.

Definition at line 83 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

double Stokhos::ApproxGaussSeidelPreconditioner::NormInf ( ) const

virtual

Returns an approximate infinity norm of the operator matrix.

Implements Epetra_Operator.

Definition at line 238 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

const char * Stokhos::ApproxGaussSeidelPreconditioner::Label ( ) const

virtual

Returns a character string describing the operator.

Implements Epetra_Operator.

Definition at line 246 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::UseTranspose ( ) const

virtual

Returns the current UseTranspose setting.

Implements Epetra_Operator.

Definition at line 253 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::HasNormInf ( ) const

virtual

Returns true if the this object can provide an approximate Inf-norm, false otherwise.

Implements Epetra_Operator.

Definition at line 260 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

const Epetra_Comm & Stokhos::ApproxGaussSeidelPreconditioner::Comm ( ) const

virtual

Returns a reference to the Epetra_Comm communicator associated with this operator.

Implements Epetra_Operator.

Definition at line 267 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

const Epetra_Map & Stokhos::ApproxGaussSeidelPreconditioner::OperatorDomainMap ( ) const

virtual

Returns the Epetra_Map object associated with the domain of this matrix operator.

Implements Epetra_Operator.

Definition at line 273 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

const Epetra_Map & Stokhos::ApproxGaussSeidelPreconditioner::OperatorRangeMap ( ) const

virtual

Returns the Epetra_Map object associated with the range of this matrix operator.

Implements Epetra_Operator.

Definition at line 280 of file Stokhos_ApproxGaussSeidelPreconditioner.cpp.

ApproxGaussSeidelPreconditioner& Stokhos::ApproxGaussSeidelPreconditioner::operator= ( const ApproxGaussSeidelPreconditioner & )

private

Private to prohibit copying.

Member Data Documentation

std::string Stokhos::ApproxGaussSeidelPreconditioner::label

protected

Label for operator.

Definition at line 123 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const EpetraExt::MultiComm> Stokhos::ApproxGaussSeidelPreconditioner::sg_comm

protected

Stores SG parallel communicator.

Definition at line 126 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const Stokhos::OrthogPolyBasis<int,double> > Stokhos::ApproxGaussSeidelPreconditioner::sg_basis

protected

Stochastic Galerking basis.

Definition at line 129 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const Stokhos::EpetraSparse3Tensor> Stokhos::ApproxGaussSeidelPreconditioner::epetraCijk

protected

Stores Epetra Cijk tensor.

Definition at line 132 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const Epetra_Map> Stokhos::ApproxGaussSeidelPreconditioner::base_map

protected

Stores base map.

Definition at line 135 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const Epetra_Map> Stokhos::ApproxGaussSeidelPreconditioner::sg_map

protected

Stores SG map.

Definition at line 138 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<Stokhos::AbstractPreconditionerFactory> Stokhos::ApproxGaussSeidelPreconditioner::prec_factory

protected

Stores factory for building mean preconditioner.

Definition at line 141 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<Epetra_Operator> Stokhos::ApproxGaussSeidelPreconditioner::mean_prec

protected

Stores mean preconditioner.

Definition at line 144 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::useTranspose

protected

Flag indicating whether transpose was selected.

Definition at line 147 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<Stokhos::SGOperator> Stokhos::ApproxGaussSeidelPreconditioner::sg_op

protected

Pointer to the SG operator.

Definition at line 150 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<Stokhos::EpetraOperatorOrthogPoly > Stokhos::ApproxGaussSeidelPreconditioner::sg_poly

protected

Pointer to the PCE expansion of Jacobian.

Definition at line 153 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<const Cijk_type > Stokhos::ApproxGaussSeidelPreconditioner::Cijk

protected

Pointer to triple product.

Definition at line 159 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::scale_op

protected

Flag indicating whether operator be scaled with <^2>

Definition at line 162 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::symmetric

protected

Use symmetric Gauss-Seidel.

Definition at line 165 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

bool Stokhos::ApproxGaussSeidelPreconditioner::only_use_linear

protected

Limit Gauss-Seidel loop to linear terms.

Definition at line 168 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<Epetra_MultiVector> Stokhos::ApproxGaussSeidelPreconditioner::mat_vec_tmp

mutableprotected

Temporary vector for storing matrix-vector products.

Definition at line 171 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

Teuchos::RCP<EpetraExt::BlockMultiVector> Stokhos::ApproxGaussSeidelPreconditioner::rhs_block

mutableprotected

Temporary vector for storing rhs in Gauss-Seidel loop.

Definition at line 174 of file Stokhos_ApproxGaussSeidelPreconditioner.hpp.

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

Public Member Functions

Protected Types

Protected Attributes

Private Member Functions

Stokhos::SGPreconditioner methods

Epetra_Operator methods

Detailed Description

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation