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Belos::TsqrMatOrthoManager< Scalar, MV, OP > Class Template Reference

MatOrthoManager subclass using TSQR or DGKS. More...

#include <BelosTsqrOrthoManager.hpp>

Inheritance diagram for Belos::TsqrMatOrthoManager< Scalar, MV, OP >:
Inheritance graph
[legend]

Public Types

typedef Scalar scalar_type
 
typedef Teuchos::ScalarTraits
< Scalar >::magnitudeType 
magnitude_type
 
typedef MV multivector_type
 Multivector type with which this class was specialized. More...
 
typedef OP operator_type
 Operator type with which this class was specialized. More...
 
typedef
Teuchos::SerialDenseMatrix
< int, Scalar > 
mat_type
 
typedef Teuchos::RCP< mat_typemat_ptr
 
- Public Types inherited from Belos::OutOfPlaceNormalizerMixin< Scalar, MV >
typedef Scalar scalar_type
 
typedef Teuchos::ScalarTraits
< Scalar >::magnitudeType 
magnitude_type
 
typedef MV multivector_type
 Multivector type with which this class was specialized. More...
 
typedef
Teuchos::SerialDenseMatrix
< int, Scalar > 
mat_type
 
typedef Teuchos::RCP< mat_typemat_ptr
 

Public Member Functions

 TsqrMatOrthoManager (const Teuchos::RCP< Teuchos::ParameterList > &params, const std::string &label="Belos", Teuchos::RCP< const OP > Op=Teuchos::null)
 Constructor (that sets user-specified parameters). More...
 
 TsqrMatOrthoManager (const std::string &label="Belos", Teuchos::RCP< const OP > Op=Teuchos::null)
 Constructor (that sets default parameters). More...
 
virtual ~TsqrMatOrthoManager ()
 Destructor (declared virtual for memory safety of derived classes). More...
 
Teuchos::RCP< const
Teuchos::ParameterList
getValidParameters () const
 Get default parameters for TsqrMatOrthoManager. More...
 
Teuchos::RCP< const
Teuchos::ParameterList
getFastParameters ()
 Get "fast" parameters for TsqrMatOrthoManager. More...
 
void setParameterList (const Teuchos::RCP< Teuchos::ParameterList > &params)
 
const std::string & getLabel () const
 This method returns the label being used by the timers in the orthogonalization manager. More...
 
void setOp (Teuchos::RCP< const OP > Op)
 
Teuchos::RCP< const OP > getOp () const
 
void project (MV &X, Teuchos::RCP< MV > MX, Teuchos::Array< mat_ptr > C, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 
void project (MV &X, Teuchos::Array< mat_ptr > C, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 
int normalize (MV &X, Teuchos::RCP< MV > MX, mat_ptr B) const
 
int normalize (MV &X, mat_ptr B) const
 
int normalizeOutOfPlace (MV &X, MV &Q, mat_ptr B) const
 Normalize X into Q*B. More...
 
int projectAndNormalizeOutOfPlace (MV &X_in, MV &X_out, Teuchos::Array< mat_ptr > C, mat_ptr B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 Project and normalize X_in into X_out. More...
 
magnitude_type orthonormError (const MV &X, Teuchos::RCP< const MV > MX) const
 This method computes the error in orthonormality of a multivector. The method has the option of exploiting a caller-provided MX. More...
 
magnitude_type orthonormError (const MV &X) const
 This method computes the error in orthonormality of a multivector. More...
 
magnitude_type orthogError (const MV &X1, const MV &X2) const
 This method computes the error in orthogonality of two multivectors. This method. More...
 
magnitude_type orthogError (const MV &X1, Teuchos::RCP< const MV > MX1, const MV &X2) const
 This method computes the error in orthogonality of two multivectors. The method has the option of exploiting a caller-provided MX. More...
 
void setLabel (const std::string &label)
 This method sets the label used by the timers in the orthogonalization manager. More...
 
- Public Member Functions inherited from Belos::MatOrthoManager< Scalar, MV, OP >
 MatOrthoManager (Teuchos::RCP< const OP > Op=Teuchos::null)
 Default constructor. More...
 
virtual ~MatOrthoManager ()
 Destructor. More...
 
void setOp (Teuchos::RCP< const OP > Op)
 Set operator. More...
 
Teuchos::RCP< const OP > getOp () const
 Get operator. More...
 
void innerProd (const MV &X, const MV &Y, Teuchos::SerialDenseMatrix< int, Scalar > &Z) const
 Provides the inner product defining the orthogonality concepts, using the provided operator. More...
 
void innerProd (const MV &X, const MV &Y, Teuchos::RCP< const MV > MY, Teuchos::SerialDenseMatrix< int, Scalar > &Z) const
 Provides the inner product defining the orthogonality concepts, using the provided operator. The method has the options of exploiting a caller-provided MX. More...
 
void norm (const MV &X, std::vector< typename Teuchos::ScalarTraits< Scalar >::magnitudeType > &normvec) const
 Provides the norm induced by innerProd(). More...
 
void norm (const MV &X, Teuchos::RCP< const MV > MX, std::vector< typename Teuchos::ScalarTraits< Scalar >::magnitudeType > &normvec) const
 Compute norm of each column of X. More...
 
virtual void project (MV &X, Teuchos::RCP< MV > MX, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > > C, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const =0
 Given a list of (mutually and internally) orthonormal bases Q, this method takes a multivector X and projects it onto the space orthogonal to the individual Q[i], optionally returning the coefficients of X for the individual Q[i]. All of this is done with respect to the inner product innerProd(). More...
 
virtual void project (MV &X, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > > C, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 This method calls project(X,Teuchos::null,C,Q); see documentation for that function. More...
 
virtual int normalize (MV &X, Teuchos::RCP< MV > MX, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > B) const =0
 This method takes a multivector X and attempts to compute an orthonormal basis for $colspan(X)$, with respect to innerProd(). More...
 
virtual int normalize (MV &X, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > B) const
 This method calls normalize(X,Teuchos::null,B); see documentation for that function. More...
 
int projectAndNormalize (MV &X, Teuchos::RCP< MV > MX, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 Given a set of bases Q[i] and a multivector X, this method computes an orthonormal basis for $colspan(X) - \sum_i colspan(Q[i])$. More...
 
- Public Member Functions inherited from Belos::OrthoManager< ScalarType, MV >
 OrthoManager ()
 Default constructor. More...
 
virtual ~OrthoManager ()
 Destructor. More...
 
virtual void innerProd (const MV &X, const MV &Y, Teuchos::SerialDenseMatrix< int, ScalarType > &Z) const =0
 Provides the inner product defining the orthogonality concepts. More...
 
virtual void norm (const MV &X, std::vector< typename Teuchos::ScalarTraits< ScalarType >::magnitudeType > &normvec) const =0
 Compute the norm(s) of the column(s) of X. More...
 
virtual void project (MV &X, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > > C, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const =0
 Project X against the (orthogonal) entries of Q. More...
 
virtual int normalize (MV &X, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > B) const =0
 This method takes a multivector X and attempts to compute an orthonormal basis for $colspan(X)$, with respect to innerProd(). More...
 
int projectAndNormalize (MV &X, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 Project X against the Q[i] and normalize X. More...
 
- Public Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase
RCP< ParameterListgetNonconstParameterList ()
 
RCP< ParameterListunsetParameterList ()
 
RCP< const ParameterListgetParameterList () const
 
- Public Member Functions inherited from Belos::OutOfPlaceNormalizerMixin< Scalar, MV >
virtual ~OutOfPlaceNormalizerMixin ()
 Trivial virtual destructor, to silence compiler warnings. More...
 

Protected Member Functions

virtual int projectAndNormalizeWithMxImpl (MV &X, Teuchos::RCP< MV > MX, Teuchos::Array< mat_ptr > C, mat_ptr B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 
- Protected Member Functions inherited from Belos::MatOrthoManager< Scalar, MV, OP >
virtual int projectAndNormalizeWithMxImpl (MV &X, Teuchos::RCP< MV > MX, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const =0
 
virtual int projectAndNormalizeImpl (MV &X, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, Scalar > > B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const
 
- Protected Member Functions inherited from Belos::OrthoManager< ScalarType, MV >
virtual int projectAndNormalizeImpl (MV &X, Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const =0
 
- Protected Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase
void setMyParamList (const RCP< ParameterList > &paramList)
 
RCP< ParameterListgetMyNonconstParamList ()
 
RCP< const ParameterListgetMyParamList () const
 

Additional Inherited Members

- Protected Attributes inherited from Belos::MatOrthoManager< Scalar, MV, OP >
Teuchos::RCP< const OP > _Op
 
bool _hasOp
 

Detailed Description

template<class Scalar, class MV, class OP>
class Belos::TsqrMatOrthoManager< Scalar, MV, OP >

MatOrthoManager subclass using TSQR or DGKS.

Author
Mark Hoemmen

When the inner product matrix has not been set, this class uses TSQR + Block Gram-Schmidt (via TsqrOrthoManagerImpl). If the inner product matrix has been set, then this class uses classical Gram-Schmidt with reorthogonalization (via DGKSOrthoManager).

TSQR uses multivector scratch space. However, scratch space initialization is "lazy," so scratch space will not be allocated if TSQR is not used.

Definition at line 345 of file BelosTsqrOrthoManager.hpp.

Member Typedef Documentation

template<class Scalar, class MV, class OP>
typedef Scalar Belos::TsqrMatOrthoManager< Scalar, MV, OP >::scalar_type

Definition at line 350 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
typedef Teuchos::ScalarTraits<Scalar>::magnitudeType Belos::TsqrMatOrthoManager< Scalar, MV, OP >::magnitude_type

Definition at line 351 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
typedef MV Belos::TsqrMatOrthoManager< Scalar, MV, OP >::multivector_type

Multivector type with which this class was specialized.

Definition at line 353 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
typedef OP Belos::TsqrMatOrthoManager< Scalar, MV, OP >::operator_type

Operator type with which this class was specialized.

Definition at line 355 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
typedef Teuchos::SerialDenseMatrix<int, Scalar> Belos::TsqrMatOrthoManager< Scalar, MV, OP >::mat_type

Definition at line 357 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
typedef Teuchos::RCP<mat_type> Belos::TsqrMatOrthoManager< Scalar, MV, OP >::mat_ptr

Definition at line 358 of file BelosTsqrOrthoManager.hpp.

Constructor & Destructor Documentation

template<class Scalar, class MV, class OP>
Belos::TsqrMatOrthoManager< Scalar, MV, OP >::TsqrMatOrthoManager ( const Teuchos::RCP< Teuchos::ParameterList > &  params,
const std::string &  label = "Belos",
Teuchos::RCP< const OP >  Op = Teuchos::null 
)
inline

Constructor (that sets user-specified parameters).

Parameters
label[in] Label for timers. This only matters if the compile-time option for enabling timers is set.
params[in/out] Configuration parameters, both for this orthogonalization manager, and for TSQR itself (as the "TSQR implementation" sublist). This can be null, in which case default parameters will be set for now; you can always call setParameterList() later to change these.
Op[in] Inner product with respect to which to orthogonalize vectors. If Teuchos::null, use the Euclidean inner product.

Call getValidParameters() for default parameters and their documentation, including TSQR implementation parameters. Call getFastParameters() to get documented parameters for faster computation, possibly at the expense of accuracy and robustness.

Definition at line 404 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
Belos::TsqrMatOrthoManager< Scalar, MV, OP >::TsqrMatOrthoManager ( const std::string &  label = "Belos",
Teuchos::RCP< const OP >  Op = Teuchos::null 
)
inline

Constructor (that sets default parameters).

Parameters
Op[in] Inner product with respect to which to orthogonalize vectors. If Teuchos::null, use the Euclidean inner product.
label[in] Label for timers. This only matters if the compile-time option for enabling timers is set.

Definition at line 420 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
virtual Belos::TsqrMatOrthoManager< Scalar, MV, OP >::~TsqrMatOrthoManager ( )
inlinevirtual

Destructor (declared virtual for memory safety of derived classes).

Definition at line 428 of file BelosTsqrOrthoManager.hpp.

Member Function Documentation

template<class Scalar, class MV, class OP>
Teuchos::RCP<const Teuchos::ParameterList> Belos::TsqrMatOrthoManager< Scalar, MV, OP >::getValidParameters ( ) const
inlinevirtual

Get default parameters for TsqrMatOrthoManager.

Get a (pointer to a) default list of parameters for configuring a TsqrMatOrthoManager instance.

Note
TSQR implementation configuration options are stored under "TSQR implementation" as a sublist.

Reimplemented from Teuchos::ParameterListAcceptor.

Definition at line 437 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
Teuchos::RCP<const Teuchos::ParameterList> Belos::TsqrMatOrthoManager< Scalar, MV, OP >::getFastParameters ( )
inline

Get "fast" parameters for TsqrMatOrthoManager.

Get a (pointer to a) list of parameters for configuring a TsqrMatOrthoManager instance for maximum speed, at the cost of accuracy (no block reorthogonalization) and robustness to rank deficiency (no randomization of the null space basis).

Note
TSQR implementation configuration options are stored under "TSQR implementation" as a sublist.

Definition at line 450 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
void Belos::TsqrMatOrthoManager< Scalar, MV, OP >::setParameterList ( const Teuchos::RCP< Teuchos::ParameterList > &  params)
inlinevirtual

Implements Teuchos::ParameterListAcceptor.

Definition at line 454 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
const std::string& Belos::TsqrMatOrthoManager< Scalar, MV, OP >::getLabel ( ) const
inlinevirtual

This method returns the label being used by the timers in the orthogonalization manager.

Implements Belos::OrthoManager< ScalarType, MV >.

Definition at line 458 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
void Belos::TsqrMatOrthoManager< Scalar, MV, OP >::setOp ( Teuchos::RCP< const OP >  Op)
inline

Definition at line 461 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
Teuchos::RCP<const OP> Belos::TsqrMatOrthoManager< Scalar, MV, OP >::getOp ( ) const
inline

Definition at line 476 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
void Belos::TsqrMatOrthoManager< Scalar, MV, OP >::project ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::Array< mat_ptr C,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inline

Definition at line 483 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
void Belos::TsqrMatOrthoManager< Scalar, MV, OP >::project ( MV &  X,
Teuchos::Array< mat_ptr C,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inline

Definition at line 501 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
int Belos::TsqrMatOrthoManager< Scalar, MV, OP >::normalize ( MV &  X,
Teuchos::RCP< MV >  MX,
mat_ptr  B 
) const
inline

Definition at line 509 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
int Belos::TsqrMatOrthoManager< Scalar, MV, OP >::normalize ( MV &  X,
mat_ptr  B 
) const
inline

Definition at line 524 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
virtual int Belos::TsqrMatOrthoManager< Scalar, MV, OP >::projectAndNormalizeWithMxImpl ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::Array< mat_ptr C,
mat_ptr  B,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inlineprotectedvirtual

Definition at line 536 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
int Belos::TsqrMatOrthoManager< Scalar, MV, OP >::normalizeOutOfPlace ( MV &  X,
MV &  Q,
mat_ptr  B 
) const
inlinevirtual

Normalize X into Q*B.

Parameters
X[in/out] On input: Multivector to normalize. On output: Possibly overwritten with invalid values.
Q[out] On output: Normalized multivector.
B[out] On output: Normalization coefficients.
Returns
Rank of the input multivector X.

Implements Belos::OutOfPlaceNormalizerMixin< Scalar, MV >.

Definition at line 557 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
int Belos::TsqrMatOrthoManager< Scalar, MV, OP >::projectAndNormalizeOutOfPlace ( MV &  X_in,
MV &  X_out,
Teuchos::Array< mat_ptr C,
mat_ptr  B,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inlinevirtual

Project and normalize X_in into X_out.

Project X_in against Q, storing projection coefficients in C, and normalize X_in into X_out, storing normalization coefficients in B. On output, X_out has the resulting orthogonal vectors. X_in may be overwritten with invalid values.

Parameters
X_in[in/out] On input: The vectors to project against Q and normalize. On output: possibly overwritten with invalid values.
X_out[out] The normalized input vectors after projection against Q.
C[out] Projection coefficients
B[out] Normalization coefficients
Q[in] The orthogonal basis against which to project
Returns
Rank of X_in after projection

Implements Belos::OutOfPlaceNormalizerMixin< Scalar, MV >.

Definition at line 571 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
magnitude_type Belos::TsqrMatOrthoManager< Scalar, MV, OP >::orthonormError ( const MV &  X,
Teuchos::RCP< const MV >  MX 
) const
inlinevirtual

This method computes the error in orthonormality of a multivector. The method has the option of exploiting a caller-provided MX.

Implements Belos::MatOrthoManager< Scalar, MV, OP >.

Definition at line 591 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
magnitude_type Belos::TsqrMatOrthoManager< Scalar, MV, OP >::orthonormError ( const MV &  X) const
inlinevirtual

This method computes the error in orthonormality of a multivector.

Reimplemented from Belos::MatOrthoManager< Scalar, MV, OP >.

Definition at line 601 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
magnitude_type Belos::TsqrMatOrthoManager< Scalar, MV, OP >::orthogError ( const MV &  X1,
const MV &  X2 
) const
inlinevirtual

This method computes the error in orthogonality of two multivectors. This method.

Reimplemented from Belos::MatOrthoManager< Scalar, MV, OP >.

Definition at line 605 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
magnitude_type Belos::TsqrMatOrthoManager< Scalar, MV, OP >::orthogError ( const MV &  X1,
Teuchos::RCP< const MV >  MX1,
const MV &  X2 
) const
inlinevirtual

This method computes the error in orthogonality of two multivectors. The method has the option of exploiting a caller-provided MX.

Implements Belos::MatOrthoManager< Scalar, MV, OP >.

Definition at line 610 of file BelosTsqrOrthoManager.hpp.

template<class Scalar, class MV, class OP>
void Belos::TsqrMatOrthoManager< Scalar, MV, OP >::setLabel ( const std::string &  label)
inlinevirtual

This method sets the label used by the timers in the orthogonalization manager.

Implements Belos::OrthoManager< ScalarType, MV >.

Definition at line 624 of file BelosTsqrOrthoManager.hpp.


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

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