Implementation of the Block GCRO-DR (Block Recycling GMRES) iteration. More...

#include <BelosBlockGCRODRIter.hpp>

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

Public Types
typedef MultiVecTraits < ScalarType, MV >	MVT

typedef OperatorTraits < ScalarType, MV, OP >	OPT

typedef Teuchos::ScalarTraits < ScalarType >	SCT

typedef SCT::magnitudeType	MagnitudeType

typedef Teuchos::SerialDenseMatrix < int, ScalarType >	SDM

typedef Teuchos::SerialDenseVector < int, ScalarType >	SDV

Public Member Functions
Constructors/Destructor
	BlockGCRODRIter (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)
	BlockGCRODRIter constructor with linear problem, solver utilities, and parameter list of solver options. More...

virtual	~BlockGCRODRIter ()
	Destructor. More...

Solver methods
void	iterate ()
	This method performs block GCRODR 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 ()
	Initialize the solver to an iterate, providing a complete state. More...

void	initialize (BlockGCRODRIterState< ScalarType, MV > &newstate)
	Initialize the solver with empty data. Calling this method will result in error, as GCRODRIter must be initialized with a valid state. More...

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

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

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

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

int	getRecycledBlocks () const
	Set the maximum number of recycled blocks used by the iterative solver. More...

Set methods
void	updateLSQR (int dim=-1)

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

void	setRecycledBlocks (int recycledBlocks)
	Set the maximum number of recycled blocks used by the iterative solver. More...

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

void	setSize (int recycledBlocks, int numBlocks)
	Set the maximum number of blocks used by the iterative solver and the number of recycled vectors. 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::BlockGCRODRIter< ScalarType, MV, OP >

Implementation of the Block GCRO-DR (Block Recycling GMRES) iteration.

This class implements the Block GCRODR (block GMRES with recycling) iteration, wherein a block-vector Krylov subspace is constructed. The QR decomposition of a block upper Hessenberg matrix is performed each iteration to update the least squares system and give the current linear system residuals.

Author: Kirk M. Soodhalter and Michael Parks

Definition at line 167 of file BelosBlockGCRODRIter.hpp.

Member Typedef Documentation

template<class ScalarType , class MV , class OP >

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

Definition at line 173 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 174 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 175 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 176 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

typedef Teuchos::SerialDenseMatrix<int,ScalarType> Belos::BlockGCRODRIter< ScalarType, MV, OP >::SDM

Definition at line 177 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

typedef Teuchos::SerialDenseVector<int,ScalarType> Belos::BlockGCRODRIter< ScalarType, MV, OP >::SDV

Definition at line 178 of file BelosBlockGCRODRIter.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP >

Belos::BlockGCRODRIter< ScalarType, MV, OP >::BlockGCRODRIter	(	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
	)

BlockGCRODRIter 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:

"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 463 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Destructor.

Definition at line 198 of file BelosBlockGCRODRIter.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP >

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

virtual

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

The block GCRODR 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 GCRODRIterOrthoFailure.

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

Definition at line 526 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

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

The BlockGCRODRIter 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.

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

Definition at line 249 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::BlockGCRODRIter< ScalarType, MV, OP >::initialize ( BlockGCRODRIterState< ScalarType, MV > & newstate )

Initialize the solver with empty data. Calling this method will result in error, as GCRODRIter must be initialized with a valid state.

Definition at line 651 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

BlockGCRODRIterState<ScalarType,MV> Belos::BlockGCRODRIter< ScalarType, MV, OP >::getState ( ) const

inline

Get the current state of the linear solver.

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

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

Definition at line 266 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

States whether the solver has been initialized or not.

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

Definition at line 282 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get the current iteration count.

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

Definition at line 285 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Reset the iteration count.

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

Definition at line 288 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Get the norms of the residuals native to the solver.

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

Definition at line 688 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

Teuchos::RCP< MV > Belos::BlockGCRODRIter< 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 716 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Get a constant reference to the linear problem.

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

Definition at line 311 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::BlockGCRODRIter< 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 314 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::BlockGCRODRIter< 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 317 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::BlockGCRODRIter< 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 320 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inline

Get the maximum dimension allocated for the search subspace.

Definition at line 326 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

int Belos::BlockGCRODRIter< ScalarType, MV, OP >::getRecycledBlocks ( ) const

inline

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

Definition at line 329 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

Definition at line 787 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inlinevirtual

Set the blocksize.

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

Definition at line 340 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::BlockGCRODRIter< ScalarType, MV, OP >::setRecycledBlocks ( int recycledBlocks )

inline

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

Definition at line 343 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

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

inline

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

Definition at line 346 of file BelosBlockGCRODRIter.hpp.

template<class ScalarType , class MV , class OP >

void Belos::BlockGCRODRIter< ScalarType, MV, OP >::setSize	(	int	recycledBlocks,
		int	numBlocks
	)

inline

Set the maximum number of blocks used by the iterative solver and the number of recycled vectors.

Definition at line 349 of file BelosBlockGCRODRIter.hpp.

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

BelosBlockGCRODRIter.hpp

Public Types

Public Member Functions

Detailed Description

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

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

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