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Belos::PCPGIter< ScalarType, MV, OP > Class Template Reference

This class implements the PCPG iteration, where a single-std::vector Krylov subspace is constructed. The documentation refers to blocks, but note that at this point, all blocks have unit dimension. More...

#include <BelosPCPGIter.hpp>

Inheritance diagram for Belos::PCPGIter< ScalarType, MV, OP >:
Inheritance graph
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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 Member Functions

void setStateSize ()
 Method for initalizing the state storage needed by PCPG. More...
 

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 savedBlocks_
 
bool initialized_
 
bool stateStorageInitialized_
 
bool keepDiagonal_
 
bool initDiagonal_
 
int curDim_
 
int prevUdim_
 
int iter_
 
Teuchos::RCP< MV > R_
 
Teuchos::RCP< MV > Z_
 
Teuchos::RCP< MV > P_
 
Teuchos::RCP< MV > AP_
 
Teuchos::RCP< MV > U_
 
Teuchos::RCP< MV > C_
 
Teuchos::RCP
< Teuchos::SerialDenseMatrix
< int, ScalarType > > 		D_
 

Constructors/Destructor

 PCPGIter (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)
 PCPGIter constructor with linear problem, solver utilities, and parameter list of solver options. More...
 
virtual ~PCPGIter ()
 Destructor. More...
 

Solver methods

void iterate ()
 PCPGIter iterates CG until the status test either requests a stop or detects an error. In the latter case, std::exception is thrown. More...
 
void initialize (PCPGIterState< 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. An exception is thrown if initialzed is called and newstate.R is null. More...
 
PCPGIterState< 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 > *) 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 solution?. More...
 
int getCurSubspaceDim () const
 Get the current dimension of the whole seed subspace. More...
 
int getPrevSubspaceDim () const
 Get the dimension of the search subspace used to solve the current solution to the linear problem. More...
 

Accessor methods

const LinearProblem
< ScalarType, MV, OP > & 		getProblem () const
 Get a constant reference to the linear problem. More...
 
int getBlockSize () const
 Get the maximum number of blocks used by the iterative solver in solving this linear problem. More...
 
int getNumRecycledBlocks () const
 Get the maximum number of recycled blocks used by the iterative solver in solving this linear problem. More...
 
void setBlockSize (int blockSize)
 Get the blocksize to be used by the iterative solver in solving this linear problem. More...
 
void setSize (int savedBlocks)
 Set the maximum number of saved or recycled blocks used by the iterative solver. More...
 
bool isInitialized ()
 States whether the solver has been initialized or not. More...
 
void resetState ()
 tell the Iterator to "reset" itself; delete and rebuild the seed space. More...
 

Detailed Description

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

This class implements the PCPG iteration, where a single-std::vector Krylov subspace is constructed. The documentation refers to blocks, but note that at this point, all blocks have unit dimension.

Author
David Day

Definition at line 185 of file BelosPCPGIter.hpp.

Member Typedef Documentation

template<class ScalarType , class MV , class OP >
typedef MultiVecTraits<ScalarType,MV> Belos::PCPGIter< ScalarType, MV, OP >::MVT

Definition at line 192 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
typedef OperatorTraits<ScalarType,MV,OP> Belos::PCPGIter< ScalarType, MV, OP >::OPT

Definition at line 193 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
typedef Teuchos::ScalarTraits<ScalarType> Belos::PCPGIter< ScalarType, MV, OP >::SCT

Definition at line 194 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
typedef SCT::magnitudeType Belos::PCPGIter< ScalarType, MV, OP >::MagnitudeType

Definition at line 195 of file BelosPCPGIter.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP >
Belos::PCPGIter< ScalarType, MV, OP >::PCPGIter ( 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 
)

PCPGIter 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:

  • "Restart Timers" = a bool specifying whether the timers should be restarted each time iterate() is called. Default: false
  • "Keep Diagonal" = a bool specifying whether the upper Hessenberg should be stored separately from the least squares system. Default: false

Definition at line 437 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
virtual Belos::PCPGIter< ScalarType, MV, OP >::~PCPGIter ( )
inlinevirtual

Destructor.

Definition at line 214 of file BelosPCPGIter.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::iterate ( )
virtual

PCPGIter iterates CG until the status test either requests a stop or detects an error. In the latter case, std::exception is thrown.

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

The PCPG iteration proceeds as follows:

  1. the operator problem->applyOp() is applied to the newest vector in the Krylov basis,
  2. the result is (approximately) A-orthogonalized to the previous basis vectors,
  3. the coupled two-term recurrence is iterated,
  4. the search direction P is projected into a complement of the seed space U.

The status test is queried at the beginning of the iteration. Potential CG exceptions include IterationInit, Iterate and IterationLAPACKFailure

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

Definition at line 678 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::initialize ( PCPGIterState< ScalarType, MV > &  newstate)

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

The PCPGIter state consists of the CGIter state, the stored search directions and the seed space. The constructor calls setSize() which calls setStateSize().

initialize(IterState) also calls setStateSize(), passing the current seed space to Iterate. initialize(IterState) sets the state to the specified IterState and then initialized_ := true. Fundamental state changes cause initialized_ := false.

Postcondition
isInitialized() == true

Optionally, the user may specify any component of the state using initialize(). Any 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 (supposed to be) copied.

Definition at line 590 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::initialize ( )
inlinevirtual

Initialize the solver with the initial vectors from the linear problem. An exception is thrown if initialzed is called and newstate.R is null.

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

Definition at line 264 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
PCPGIterState<ScalarType,MV> Belos::PCPGIter< ScalarType, MV, OP >::getState ( ) const
inline

Get the current state of the linear solver.

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

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

Definition at line 277 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::getNumIters ( ) const
inlinevirtual

Get the current iteration count.

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

Definition at line 298 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::resetNumIters ( int  iter = 0)
inlinevirtual

Reset the iteration count.

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

Definition at line 301 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<const MV> Belos::PCPGIter< ScalarType, MV, OP >::getNativeResiduals ( std::vector< MagnitudeType > *  ) const
inline

Get the norms of the residuals native to the solver.

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

Definition at line 305 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::getCurrentUpdate ( ) const
inlinevirtual

Get the current update to the linear system solution?.

Note
getCurrentUpdate returns a null pointer indicating that the linear problem contains the current solution.

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

Definition at line 311 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::getCurSubspaceDim ( ) const
inline

Get the current dimension of the whole seed subspace.

Definition at line 314 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::getPrevSubspaceDim ( ) const
inline

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

Definition at line 320 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
const LinearProblem<ScalarType,MV,OP>& Belos::PCPGIter< ScalarType, MV, OP >::getProblem ( ) const
inlinevirtual

Get a constant reference to the linear problem.

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

Definition at line 332 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::getBlockSize ( ) const
inlinevirtual

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

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

Definition at line 335 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::getNumRecycledBlocks ( ) const
inline

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

Definition at line 338 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::setBlockSize ( int  blockSize)
inlinevirtual

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

Set the blocksize.

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

Definition at line 343 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::setSize ( int  savedBlocks)

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

Definition at line 474 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
bool Belos::PCPGIter< ScalarType, MV, OP >::isInitialized ( )
inlinevirtual

States whether the solver has been initialized or not.

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

Definition at line 352 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::resetState ( )

tell the Iterator to "reset" itself; delete and rebuild the seed space.

Definition at line 494 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
void Belos::PCPGIter< ScalarType, MV, OP >::setStateSize ( )
private

Method for initalizing the state storage needed by PCPG.

Definition at line 506 of file BelosPCPGIter.hpp.

Member Data Documentation

template<class ScalarType , class MV , class OP >
const Teuchos::RCP<LinearProblem<ScalarType,MV,OP> > Belos::PCPGIter< ScalarType, MV, OP >::lp_
private

Definition at line 370 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
const Teuchos::RCP<OutputManager<ScalarType> > Belos::PCPGIter< ScalarType, MV, OP >::om_
private

Definition at line 371 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
const Teuchos::RCP<StatusTest<ScalarType,MV,OP> > Belos::PCPGIter< ScalarType, MV, OP >::stest_
private

Definition at line 372 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
const Teuchos::RCP<OrthoManager<ScalarType,MV> > Belos::PCPGIter< ScalarType, MV, OP >::ortho_
private

Definition at line 373 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::savedBlocks_
private

Definition at line 378 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
bool Belos::PCPGIter< ScalarType, MV, OP >::initialized_
private

Definition at line 386 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
bool Belos::PCPGIter< ScalarType, MV, OP >::stateStorageInitialized_
private

Definition at line 391 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
bool Belos::PCPGIter< ScalarType, MV, OP >::keepDiagonal_
private

Definition at line 394 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
bool Belos::PCPGIter< ScalarType, MV, OP >::initDiagonal_
private

Definition at line 398 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::curDim_
private

Definition at line 401 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::prevUdim_
private

Definition at line 404 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
int Belos::PCPGIter< ScalarType, MV, OP >::iter_
private

Definition at line 407 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::R_
private

Definition at line 412 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::Z_
private

Definition at line 415 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::P_
private

Definition at line 418 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::AP_
private

Definition at line 421 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::U_
private

Definition at line 424 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<MV> Belos::PCPGIter< ScalarType, MV, OP >::C_
private

Definition at line 427 of file BelosPCPGIter.hpp.

template<class ScalarType , class MV , class OP >
Teuchos::RCP<Teuchos::SerialDenseMatrix<int,ScalarType> > Belos::PCPGIter< ScalarType, MV, OP >::D_
private

Definition at line 431 of file BelosPCPGIter.hpp.

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