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 <BelosPseudoBlockTFQMRIter.hpp>

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

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Public Types
typedef MultiVecTraits < ScalarType, MV >	MVT

typedef OperatorTraits < ScalarType, MV, OP >	OPT

typedef Teuchos::ScalarTraits < ScalarType >	SCT

typedef SCT::magnitudeType	MagnitudeType

Private Attributes
const Teuchos::RCP < LinearProblem< ScalarType, MV, OP > >	lp_

const Teuchos::RCP < OutputManager< ScalarType > >	om_

const Teuchos::RCP< StatusTest < ScalarType, MV, OP > >	stest_

int	numRHS_

std::vector< ScalarType >	alpha_

std::vector< ScalarType >	eta_

std::vector< ScalarType >	rho_

std::vector< ScalarType >	rho_old_

std::vector< MagnitudeType >	tau_

std::vector< MagnitudeType >	theta_

bool	initialized_

int	iter_

Teuchos::RCP< MV >	W_

Teuchos::RCP< MV >	U_

Teuchos::RCP< MV >	AU_

Teuchos::RCP< MV >	Rtilde_

Teuchos::RCP< MV >	D_

Teuchos::RCP< MV >	V_

Teuchos::RCP< MV >	solnUpdate_

Constructor/Destructor.
	PseudoBlockTFQMRIter (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::PseudoBlockTFQMRIter constructor. More...

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

Solver methods
void	iterate ()
	This method performs pseudo-block 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 PseudoBlockTFQMRIterState< 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...

PseudoBlockTFQMRIterState < 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...

Detailed Description

template<class ScalarType, class MV, class OP>
class Belos::PseudoBlockTFQMRIter< 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 147 of file BelosPseudoBlockTFQMRIter.hpp.

Member Typedef Documentation

template<class ScalarType , class MV , class OP >

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

Definition at line 152 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 153 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 154 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 155 of file BelosPseudoBlockTFQMRIter.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP >

Belos::PseudoBlockTFQMRIter< ScalarType, MV, OP >::PseudoBlockTFQMRIter	(	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::PseudoBlockTFQMRIter constructor.

Definition at line 343 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Belos::PseudoBlockTFQMRIter destructor.

Definition at line 167 of file BelosPseudoBlockTFQMRIter.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP >

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

virtual

This method performs pseudo-block 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 inintialized; if not, it will call initialize() using default arguments. After initialization, the solver performs pseudo-block 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 464 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockTFQMRIter< ScalarType, MV, OP >::initializeTFQMR ( const PseudoBlockTFQMRIterState< ScalarType, MV > & newstate )

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

The PseudoBlockTFQMRIter 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 381 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockTFQMRIter< 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 212 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

PseudoBlockTFQMRIterState<ScalarType,MV> Belos::PseudoBlockTFQMRIter< ScalarType, MV, OP >::getState ( ) const

inline

Get the current state of the linear solver.

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

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

Definition at line 225 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get the current iteration count.

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

Definition at line 253 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Reset the iteration count.

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

Definition at line 256 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< const MV > Belos::PseudoBlockTFQMRIter< 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 361 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::PseudoBlockTFQMRIter< 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 266 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get a constant reference to the linear problem.

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

Definition at line 275 of file BelosPseudoBlockTFQMRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

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