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Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType > Class Template Reference

PCPG iterative linear solver. More...

#include <BelosPCPGSolMgr.hpp>

Inheritance diagram for Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >:
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Public Member Functions

 PCPGSolMgr ()
 
 PCPGSolMgr (const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &problem, const Teuchos::RCP< Teuchos::ParameterList > &pl)
 
virtual ~PCPGSolMgr ()
 
Teuchos::RCP< SolverManager
< ScalarType, MV, OP > > 
clone () const override
 clone for Inverted Injection (DII) More...
 

Detailed Description

template<class ScalarType, class MV, class OP, const bool supportsScalarType = Belos::Details::LapackSupportsScalar<ScalarType>::value && ! Teuchos::ScalarTraits<ScalarType>::isComplex>
class Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >

PCPG iterative linear solver.

Author
David Day

PCPG is a CG-based "seed solver." This means that it does preconditioned CG to build up a matrix polynomial, then can reuse that polynomial to compute solutions of successive linear systems, possibly with different right-hand sides. Belos also implements a Block GMRES - based seed solver, Belos::GmresPolySolMgr.

Users must ensure that each linear system has the same coefficient matrix. The seed space is invariant during an individual linear system solve. Finally, due to finite precision arithmetic, the off-diaognal "P'AP" terms grow.

One often sees PCPG in context with the FETI domain decomposition method.

Examples:
PCPG/PCPGEpetraExFile.cpp.

Definition at line 153 of file BelosPCPGSolMgr.hpp.

Constructor & Destructor Documentation

template<class ScalarType , class MV , class OP , const bool supportsScalarType = Belos::Details::LapackSupportsScalar<ScalarType>::value && ! Teuchos::ScalarTraits<ScalarType>::isComplex>
Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >::PCPGSolMgr ( )
inline

Definition at line 165 of file BelosPCPGSolMgr.hpp.

template<class ScalarType , class MV , class OP , const bool supportsScalarType = Belos::Details::LapackSupportsScalar<ScalarType>::value && ! Teuchos::ScalarTraits<ScalarType>::isComplex>
Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >::PCPGSolMgr ( const Teuchos::RCP< LinearProblem< ScalarType, MV, OP > > &  problem,
const Teuchos::RCP< Teuchos::ParameterList > &  pl 
)
inline

Definition at line 168 of file BelosPCPGSolMgr.hpp.

template<class ScalarType , class MV , class OP , const bool supportsScalarType = Belos::Details::LapackSupportsScalar<ScalarType>::value && ! Teuchos::ScalarTraits<ScalarType>::isComplex>
virtual Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >::~PCPGSolMgr ( )
inlinevirtual

Definition at line 172 of file BelosPCPGSolMgr.hpp.

Member Function Documentation

template<class ScalarType , class MV , class OP , const bool supportsScalarType = Belos::Details::LapackSupportsScalar<ScalarType>::value && ! Teuchos::ScalarTraits<ScalarType>::isComplex>
Teuchos::RCP<SolverManager<ScalarType, MV, OP> > Belos::PCPGSolMgr< ScalarType, MV, OP, supportsScalarType >::clone ( ) const
inlineoverride

clone for Inverted Injection (DII)

Definition at line 175 of file BelosPCPGSolMgr.hpp.


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

Generated on Wed Mar 27 2024 09:28:07 for Belos by doxygen 1.8.5