This class implements the pseudo-block GMRES iteration, where a block Krylov subspace is constructed for all of the linear systems simultaneously. The QR decomposition of each block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals. More...

#include <BelosPseudoBlockGmresIter.hpp>

Inheritance diagram for Belos::PseudoBlockGmresIter< 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_

const Teuchos::RCP < OrthoManager< ScalarType, MV > >	ortho_

int	numRHS_

int	numBlocks_

std::vector< Teuchos::RCP < Teuchos::SerialDenseVector < int, ScalarType > > >	sn_

std::vector< Teuchos::RCP < Teuchos::SerialDenseVector < int, MagnitudeType > > >	cs_

Teuchos::RCP< MV >	U_vec_

Teuchos::RCP< MV >	AU_vec_

Teuchos::RCP< MV >	cur_block_rhs_

Teuchos::RCP< MV >	cur_block_sol_

bool	initialized_

int	curDim_

int	iter_

std::vector< Teuchos::RCP< MV > >	V_

std::vector< Teuchos::RCP < Teuchos::SerialDenseMatrix < int, ScalarType > > >	H_

std::vector< Teuchos::RCP < Teuchos::SerialDenseMatrix < int, ScalarType > > >	R_

std::vector< Teuchos::RCP < Teuchos::SerialDenseVector < int, ScalarType > > >	Z_

Constructors/Destructor
	PseudoBlockGmresIter (const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &problem, const Teuchos::RCP< OutputManager< ScalarType > > &printer, const Teuchos::RCP< StatusTest< ScalarType, MV, OP > > &tester, const Teuchos::RCP< MatOrthoManager< ScalarType, MV, OP > > &ortho, Teuchos::ParameterList &params)
	PseudoBlockGmresIter constructor with linear problem, solver utilities, and parameter list of solver options. More...

virtual	~PseudoBlockGmresIter ()
	Destructor. More...

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

void	initialize (const PseudoBlockGmresIterState< 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...

PseudoBlockGmresIterState < 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 "native" residual vectors. More...

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

void	updateLSQR (int dim=-1)
	Method for updating QR factorization of upper Hessenberg matrix. More...

int	getCurSubspaceDim () const
	Get the dimension of the search subspace used to generate the current solution to the linear problem. More...

int	getMaxSubspaceDim () const
	Get the maximum dimension allocated for the search subspace. 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...

int	getNumBlocks () const
	Get the maximum number of blocks used by the iterative solver in solving this linear problem. More...

void	setNumBlocks (int numBlocks)
	Set the maximum number of blocks used by the iterative solver. More...

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

Detailed Description

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

This class implements the pseudo-block GMRES iteration, where a block Krylov subspace is constructed for all of the linear systems simultaneously. The QR decomposition of each block, upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals.

Author: Heidi Thornquist

Definition at line 155 of file BelosPseudoBlockGmresIter.hpp.

Member Typedef Documentation

template<class ScalarType , class MV , class OP >

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

Definition at line 162 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 163 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 164 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 165 of file BelosPseudoBlockGmresIter.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP >

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

PseudoBlockGmresIter constructor with linear problem, solver utilities, and parameter list of solver options.

This constructor takes pointers required by the linear solver, in addition to a parameter list of options for the linear solver. These options include the following:

"Block Size" - an int specifying the block size used by the algorithm. This can also be specified using the setBlockSize() method. Default: 1
"Num Blocks" - an int specifying the maximum number of blocks allocated for the solver basis. Default: 25
"Restart Timers" = a bool specifying whether the timers should be restarted each time iterate() is called. Default: false

Definition at line 414 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Destructor.

Definition at line 185 of file BelosPseudoBlockGmresIter.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP >

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

virtual

This method performs block Gmres 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 block Gmres iterations until the status test evaluates as Passed, at which point the method returns to the caller.

The block Gmres iteration proceeds as follows:

The operator problem->applyOp() is applied to the newest blockSize vectors in the Krylov basis.
The resulting vectors are orthogonalized against the previous basis vectors, and made orthonormal.
The Hessenberg matrix is updated.
The least squares system is updated.

The status test is queried at the beginning of the iteration.

Possible exceptions thrown include the PseudoBlockGmresIterOrthoFailure.

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

Definition at line 743 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::initialize ( const PseudoBlockGmresIterState< ScalarType, MV > & newstate )

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

The PseudoBlockGmresIter 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 528 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockGmresIter< 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 241 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

PseudoBlockGmresIterState<ScalarType,MV> Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::getState ( ) const

inline

Get the current state of the linear solver.

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

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

Definition at line 254 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get the current iteration count.

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

Definition at line 279 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Reset the iteration count.

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

Definition at line 282 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

Get the norms of the "native" residual vectors.

If norms != NULL, fill *norms with the native residual norms. There are numRHS_ of them. *norms will be resized if it has too few entries to hold the data.

For an explanation of "native" vs. "exact" (also known as "implicit" vs. "explicit") residuals, see the documentation of PseudoBlockGmresSolMgr::isLOADetected(). In brief: "Native" residuals are cheaper to compute than "exact" residuals, but the two may differ, especially when using a left preconditioner.

Returns: Teuchos::null (always, regardless whether norms == NULL). We only return something in order to satisfy the Iteration interface. PseudoBlockGmresSolMgr knows that this method always returns null.

Definition at line 503 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

virtual

Get the current update to the linear system.

Note: Some solvers, like GMRES, do not compute updates to the solution every iteration. This method forces its computation. Other solvers, like CG, update the solution each iteration, so this method will return a zero vector indicating that the linear problem contains the current solution.

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

Definition at line 456 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::updateLSQR ( int dim = -1 )

Method for updating QR factorization of upper Hessenberg matrix.

Note: If dim >= getCurSubspaceDim() and dim < getMaxSubspaceDim(), then the dim-th equations of the least squares problem will be updated.

Definition at line 876 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::getCurSubspaceDim ( ) const

inline

Get the dimension of the search subspace used to generate the current solution to the linear problem.

Definition at line 318 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::getMaxSubspaceDim ( ) const

inline

Get the maximum dimension allocated for the search subspace.

Definition at line 324 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get a constant reference to the linear problem.

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

Definition at line 333 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

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

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

Definition at line 336 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::setBlockSize ( int blockSize )

inlinevirtual

Set the blocksize.

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

Definition at line 339 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::getNumBlocks ( ) const

inline

Get the maximum number of blocks used by the iterative solver in solving this linear problem.

Definition at line 345 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::setNumBlocks ( int numBlocks )

Set the maximum number of blocks used by the iterative solver.

Definition at line 440 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

bool Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::isInitialized ( )

inlinevirtual

States whether the solver has been initialized or not.

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

Definition at line 351 of file BelosPseudoBlockGmresIter.hpp.

Member Data Documentation

template<class ScalarType , class MV , class OP >

const Teuchos::RCP<LinearProblem<ScalarType,MV,OP> > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::lp_

private

Definition at line 360 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

const Teuchos::RCP<OutputManager<ScalarType> > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::om_

private

Definition at line 361 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

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

private

Definition at line 362 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

const Teuchos::RCP<OrthoManager<ScalarType,MV> > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::ortho_

private

Definition at line 363 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::numRHS_

private

Definition at line 369 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::numBlocks_

private

Definition at line 371 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<Teuchos::SerialDenseVector<int,ScalarType> > > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::sn_

private

Definition at line 374 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<Teuchos::SerialDenseVector<int,MagnitudeType> > > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::cs_

private

Definition at line 375 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::U_vec_

private

Definition at line 378 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::AU_vec_

private

Definition at line 378 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::cur_block_rhs_

private

Definition at line 381 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP<MV> Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::cur_block_sol_

private

Definition at line 381 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

bool Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::initialized_

private

Definition at line 389 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::curDim_

private

Definition at line 392 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::iter_

private

Definition at line 392 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<MV> > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::V_

private

Definition at line 397 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::H_

private

Definition at line 402 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::R_

private

Definition at line 407 of file BelosPseudoBlockGmresIter.hpp.

template<class ScalarType , class MV , class OP >

std::vector<Teuchos::RCP<Teuchos::SerialDenseVector<int,ScalarType> > > Belos::PseudoBlockGmresIter< ScalarType, MV, OP >::Z_

private

Definition at line 408 of file BelosPseudoBlockGmresIter.hpp.

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

BelosPseudoBlockGmresIter.hpp

Public Types

Private Attributes

Constructors/Destructor

Solver methods

Status methods

Accessor methods

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

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