This class implements the preconditioned transpose-free QMR algorithm for solving non-Hermitian linear systems of equations Ax = b, where b is the right-hand side vector and x is the corresponding solution. More...

#include <BelosTFQMRIter.hpp>

Inheritance diagram for Belos::TFQMRIter< ScalarType, MV, OP >:

[legend]

Public Types
typedef MultiVecTraits < ScalarType, MV >	MVT

typedef OperatorTraits < ScalarType, MV, OP >	OPT

typedef Teuchos::ScalarTraits < ScalarType >	SCT

typedef SCT::magnitudeType	MagnitudeType

Public Member Functions
Constructor/Destructor.
	TFQMRIter (const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &problem, const Teuchos::RCP< OutputManager< ScalarType > > &printer, const Teuchos::RCP< StatusTest< ScalarType, MV, OP > > &tester, Teuchos::ParameterList &params)
	Belos::TFQMRIter constructor. More...

virtual	~TFQMRIter ()
	Belos::TFQMRIter destructor. More...

Solver methods
void	iterate ()
	This method performs TFQMR iterations until the status test indicates the need to stop or an error occurs (in which case, an std::exception is thrown). More...

void	initializeTFQMR (const TFQMRIterState< ScalarType, MV > &newstate)
	Initialize the solver to an iterate, providing a complete state. More...

void	initialize ()
	Initialize the solver with the initial vectors from the linear problem or random data. More...

TFQMRIterState< ScalarType, MV >	getState () const
	Get the current state of the linear solver. More...

Status methods
int	getNumIters () const
	Get the current iteration count. More...

void	resetNumIters (int iter=0)
	Reset the iteration count. More...

Teuchos::RCP< const MV >	getNativeResiduals (std::vector< MagnitudeType > *norms) const
	Get the norms of the residuals native to the solver. More...

Teuchos::RCP< MV >	getCurrentUpdate () const
	Get the current update to the linear system. More...

Accessor methods
const LinearProblem < ScalarType, MV, OP > &	getProblem () const
	Get a constant reference to the linear problem. More...

int	getBlockSize () const
	Get the blocksize to be used by the iterative solver in solving this linear problem. More...

void	setBlockSize (int blockSize)
	Set the blocksize. More...

bool	isInitialized ()
	States whether the solver has been initialized or not. More...

Public Member Functions inherited from Belos::Iteration< ScalarType, MV, OP >
	Iteration ()
	Default Constructor. More...

virtual	~Iteration ()
	Destructor. More...

virtual Teuchos::RCP< const MV >	getNativeResiduals (std::vector< typename Teuchos::ScalarTraits< ScalarType >::magnitudeType > *norms) const =0
	Get the residuals native to the solver. More...

Detailed Description

template<class ScalarType, class MV, class OP>
class Belos::TFQMRIter< ScalarType, MV, OP >

This class implements the preconditioned transpose-free QMR algorithm for solving non-Hermitian linear systems of equations Ax = b, where b is the right-hand side vector and x is the corresponding solution.

Author: Heidi Thornquist

Definition at line 143 of file BelosTFQMRIter.hpp.

Member Typedef Documentation

template<class ScalarType , class MV , class OP >

typedef MultiVecTraits<ScalarType,MV> Belos::TFQMRIter< ScalarType, MV, OP >::MVT

Definition at line 148 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

typedef OperatorTraits<ScalarType,MV,OP> Belos::TFQMRIter< ScalarType, MV, OP >::OPT

Definition at line 149 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

typedef Teuchos::ScalarTraits<ScalarType> Belos::TFQMRIter< ScalarType, MV, OP >::SCT

Definition at line 150 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

typedef SCT::magnitudeType Belos::TFQMRIter< ScalarType, MV, OP >::MagnitudeType

Definition at line 151 of file BelosTFQMRIter.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP >

Belos::TFQMRIter< ScalarType, MV, OP >::TFQMRIter	(	const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &	problem,
		const Teuchos::RCP< OutputManager< ScalarType > > &	printer,
		const Teuchos::RCP< StatusTest< ScalarType, MV, OP > > &	tester,
		Teuchos::ParameterList &	params
	)

Belos::TFQMRIter constructor.

Definition at line 339 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

virtual Belos::TFQMRIter< ScalarType, MV, OP >::~TFQMRIter ( )

inlinevirtual

Belos::TFQMRIter destructor.

Definition at line 163 of file BelosTFQMRIter.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP >

void Belos::TFQMRIter< ScalarType, MV, OP >::iterate ( )

virtual

This method performs TFQMR iterations until the status test indicates the need to stop or an error occurs (in which case, an std::exception is thrown).

iterate() will first determine whether the solver is initialized; if not, it will call initialize() using default arguments. After initialization, the solver performs TFQMR iterations until the status test evaluates as Passed, at which point the method returns to the caller.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 474 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::TFQMRIter< ScalarType, MV, OP >::initializeTFQMR ( const TFQMRIterState< ScalarType, MV > & newstate )

Initialize the solver to an iterate, providing a complete state.

The TFQMRIter contains a certain amount of state, consisting of the current Krylov basis and the associated Hessenberg matrix.

initialize() gives the user the opportunity to manually set these, although this must be done with caution, abiding by the rules given below. All notions of orthogonality and orthonormality are derived from the inner product specified by the orthogonalization manager.

Postcondition: isInitialized() == true (see post-conditions of isInitialize())

The user has the option of specifying any component of the state using initialize(). However, these arguments are assumed to match the post-conditions specified under isInitialized(). Any necessary component of the state not given to initialize() will be generated.

Note: For any pointer in newstate which directly points to the multivectors in the solver, the data is not copied.

Definition at line 411 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::TFQMRIter< ScalarType, MV, OP >::initialize ( )

inlinevirtual

Initialize the solver with the initial vectors from the linear problem or random data.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 208 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

TFQMRIterState<ScalarType,MV> Belos::TFQMRIter< ScalarType, MV, OP >::getState ( ) const

inline

Get the current state of the linear solver.

The data is only valid if isInitialized() == true.

Returns: A TFQMRIterState object containing const pointers to the current solver state.

Definition at line 221 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::TFQMRIter< ScalarType, MV, OP >::getNumIters ( ) const

inlinevirtual

Get the current iteration count.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 240 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::TFQMRIter< ScalarType, MV, OP >::resetNumIters ( int iter = 0 )

inlinevirtual

Reset the iteration count.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 243 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< const MV > Belos::TFQMRIter< ScalarType, MV, OP >::getNativeResiduals ( std::vector< MagnitudeType > * norms ) const

Get the norms of the residuals native to the solver.

Returns: A std::vector of length blockSize containing the native residuals.

Definition at line 363 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::TFQMRIter< ScalarType, MV, OP >::getCurrentUpdate ( ) const

inlinevirtual

Get the current update to the linear system.

Note: This method returns the accumulated update to the solution instead of updating the linear problem, since it may incur an additional preconditioner application each iteration.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 253 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

const LinearProblem<ScalarType,MV,OP>& Belos::TFQMRIter< ScalarType, MV, OP >::getProblem ( ) const

inlinevirtual

Get a constant reference to the linear problem.

Implements Belos::Iteration< ScalarType, MV, OP >.

Definition at line 262 of file BelosTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::TFQMRIter< ScalarType, MV, OP >::getBlockSize ( ) const

inlinevirtual

Get the blocksize to be used by the iterative solver in solving this linear problem.