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Belos::MatOrthoManager< ScalarType, MV, OP > Class Template Referenceabstract

Belos's templated virtual class for providing routines for orthogonalization and orthonormzalition of multivectors using matrix-based inner products. More...

#include <BelosIteration.hpp>

Inheritance diagram for Belos::MatOrthoManager< ScalarType, MV, OP >:
Inheritance graph
[legend]

Public Member Functions

Constructor/Destructor
 MatOrthoManager (Teuchos::RCP< const OP > Op=Teuchos::null)
 Default constructor. More...
 
virtual ~MatOrthoManager ()
 Destructor. More...
 
Accessor routines
void setOp (Teuchos::RCP< const OP > Op)
 Set operator. More...
 
Teuchos::RCP< const OP > getOp () const
 Get operator. More...
 
Error methods
virtual Teuchos::ScalarTraits
< ScalarType >::magnitudeType 
orthonormError (const MV &X) const
 This method computes the error in orthonormality of a multivector. More...
 
virtual Teuchos::ScalarTraits
< ScalarType >::magnitudeType 
orthonormError (const MV &X, Teuchos::RCP< const MV > MX) const =0
 This method computes the error in orthonormality of a multivector. The method has the option of exploiting a caller-provided MX. More...
 
virtual Teuchos::ScalarTraits
< ScalarType >::magnitudeType 
orthogError (const MV &X1, const MV &X2) const
 This method computes the error in orthogonality of two multivectors. This method. More...
 
virtual Teuchos::ScalarTraits
< ScalarType >::magnitudeType 
orthogError (const MV &X1, Teuchos::RCP< const MV > MX1, const MV &X2) const =0
 This method computes the error in orthogonality of two multivectors. The method has the option of exploiting a caller-provided MX. More...
 
- Public Member Functions inherited from Belos::OrthoManager< ScalarType, MV >
 OrthoManager ()
 Default constructor. More...
 
virtual ~OrthoManager ()
 Destructor. More...
 
virtual void setLabel (const std::string &label)=0
 This method sets the label used by the timers in the orthogonalization manager. More...
 
virtual const std::string & getLabel () const =0
 This method returns the label being used by the timers in the orthogonalization manager. 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 Teuchos::ParameterListAcceptor
virtual void setParameterList (const RCP< ParameterList > &paramList)=0
 
virtual RCP< const ParameterListgetValidParameters () const
 

Protected Attributes

Teuchos::RCP< const OP > _Op
 
bool _hasOp
 

Orthogonalization methods

void innerProd (const MV &X, const MV &Y, Teuchos::SerialDenseMatrix< int, ScalarType > &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, ScalarType > &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< ScalarType >::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< ScalarType >::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, ScalarType > > > 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, ScalarType > > > 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, 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...
 
virtual int normalize (MV &X, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > 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, ScalarType > > > C, Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > 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...
 
virtual int projectAndNormalizeWithMxImpl (MV &X, Teuchos::RCP< MV > MX, 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
 
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
 

Additional Inherited Members

- Protected Member Functions inherited from Belos::OrthoManager< ScalarType, MV >
- Protected Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase
void setMyParamList (const RCP< ParameterList > &paramList)
 
RCP< ParameterListgetMyNonconstParamList ()
 
RCP< const ParameterListgetMyParamList () const
 

Detailed Description

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

Belos's templated virtual class for providing routines for orthogonalization and orthonormzalition of multivectors using matrix-based inner products.

This class extends Belos::OrthoManager by providing extra calling arguments to orthogonalization routines, to reduce the cost of applying the inner product in cases where the user already has the image of the source multivector under the inner product matrix.

A concrete implementation of this class is necessary. The user can create their own implementation if those supplied are not suitable for their needs.

Note: The base class OrthoManager now inherits from Teuchos::ParameterListAcceptorDefaultBase. New derived classes of MatOrthoManager must implement setParameterList() and getValidParameters().

Author
Chris Baker, Teri Barth, and Heidi Thornquist

Definition at line 38 of file BelosIteration.hpp.

Constructor & Destructor Documentation

template<class ScalarType, class MV, class OP>
Belos::MatOrthoManager< ScalarType, MV, OP >::MatOrthoManager ( Teuchos::RCP< const OP >  Op = Teuchos::null)
inline

Default constructor.

Definition at line 55 of file BelosMatOrthoManager.hpp.

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

Destructor.

Definition at line 58 of file BelosMatOrthoManager.hpp.

Member Function Documentation

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

Set operator.

Definition at line 65 of file BelosMatOrthoManager.hpp.

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

Get operator.

Definition at line 71 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
void Belos::MatOrthoManager< ScalarType, MV, OP >::innerProd ( const MV &  X,
const MV &  Y,
Teuchos::SerialDenseMatrix< int, ScalarType > &  Z 
) const
inlinevirtual

Provides the inner product defining the orthogonality concepts, using the provided operator.

All concepts of orthogonality discussed in this class are with respect to this inner product.

Implements Belos::OrthoManager< ScalarType, MV >.

Definition at line 83 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
void Belos::MatOrthoManager< ScalarType, MV, OP >::innerProd ( const MV &  X,
const MV &  Y,
Teuchos::RCP< const MV >  MY,
Teuchos::SerialDenseMatrix< int, ScalarType > &  Z 
) const
inline

Provides the inner product defining the orthogonality concepts, using the provided operator. The method has the options of exploiting a caller-provided MX.

If pointer MY is null, then this routine calls innerProd(X,Y,Z). Otherwise, it forgoes the operator application and uses *MY in the computation of the inner product.

Definition at line 121 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
void Belos::MatOrthoManager< ScalarType, MV, OP >::norm ( const MV &  X,
std::vector< typename Teuchos::ScalarTraits< ScalarType >::magnitudeType > &  normvec 
) const
inlinevirtual

Provides the norm induced by innerProd().

Implements Belos::OrthoManager< ScalarType, MV >.

Definition at line 143 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
void Belos::MatOrthoManager< ScalarType, MV, OP >::norm ( const MV &  X,
Teuchos::RCP< const MV >  MX,
std::vector< typename Teuchos::ScalarTraits< ScalarType >::magnitudeType > &  normvec 
) const
inline

Compute norm of each column of X.

Compute the norm of each column of X; where the norm is that induced by innerProd(). If you already have MX = M*X (where M is the operator defining the inner product), you may pass it in to avoid applying the operator again.

Parameters
X[in] Multivector for which to compute the norm of each column
MX[in] If not null and the inner product operator M is not the identity, MX is assumed to be M*X (the result of applying the operator M to X). MX may be null, in which case if M is not the identity, it is applied to X.
normvec[out] On output, normvec[j] is the norm of column j of X. normvec is resized if it has fewer entries than the number of columns in X.

Definition at line 165 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
virtual void Belos::MatOrthoManager< ScalarType, MV, OP >::project ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > >  C,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
pure virtual

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().

After calling this routine, X will be orthogonal to each of the Q[i].

Parameters
X[in/out] The multivector to be modified. On output, X will be orthogonal to Q[i] with respect to innerProd().
MX[in] The image of the multivector under the specified operator. If MX is null, it is not used.
C[out] The coefficients of X in the *Q[i], with respect to innerProd(). If C[i] is a non-null pointer and *C[i] matches the dimensions of X and *Q[i], then the coefficients computed during the orthogonalization routine will be stored in the matrix *C[i]. If C[i] is a non-null pointer whose size does not match the dimensions of X and *Q[i], then a std::invalid_argument std::exception will be thrown. Otherwise, if C.size() < i or C[i] is a null pointer, then the orthogonalization manager will declare storage for the coefficients and the user will not have access to them.
Q[in] A list of multivector bases specifying the subspaces to be orthogonalized against. Each Q[i] is assumed to have orthonormal columns, and the Q[i] are assumed to be mutually orthogonal.

Implemented in Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::IMGSOrthoManager< ScalarType, MV, OP >, and Belos::DGKSOrthoManager< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>
virtual void Belos::MatOrthoManager< ScalarType, MV, OP >::project ( MV &  X,
Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > >  C,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inlinevirtual

This method calls project(X,Teuchos::null,C,Q); see documentation for that function.

Implements Belos::OrthoManager< ScalarType, MV >.

Reimplemented in Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::IMGSOrthoManager< ScalarType, MV, OP >, and Belos::DGKSOrthoManager< ScalarType, MV, OP >.

Definition at line 247 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
virtual int Belos::MatOrthoManager< ScalarType, MV, OP >::normalize ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > >  B 
) const
pure virtual

This method takes a multivector X and attempts to compute an orthonormal basis for $colspan(X)$, with respect to innerProd().

This routine returns an integer rank stating the rank of the computed basis. If X does not have full rank and the normalize() routine does not attempt to augment the subspace, then rank may be smaller than the number of columns in X. In this case, only the first rank columns of output X and first rank rows of B will be valid.

Parameters
X[in/out] The multivector to the modified. On output, X will have some number of orthonormal columns (with respect to innerProd()).
MX[in/out] The image of the multivector under the specified operator. If MX is null, it is not used. On output, it returns the image of the valid basis vectors under the specified operator.
B[out] The coefficients of X in the computed basis. If B is a non-null pointer and *B has appropriate dimensions, then the coefficients computed during the orthogonalization routine will be stored in the matrix *B. If B is a non-null pointer whose size does not match the dimensions of X, then a std::invalid_argument std::exception will be thrown. Otherwise, the orthogonalization manager will declare storage for the coefficients and the user will not have access to them. This matrix may or may not be triangular; see documentation for individual orthogonalization managers.
Returns
Rank of the basis computed by this method.

Implemented in Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::IMGSOrthoManager< ScalarType, MV, OP >, and Belos::DGKSOrthoManager< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>
virtual int Belos::MatOrthoManager< ScalarType, MV, OP >::normalize ( MV &  X,
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > >  B 
) const
inlinevirtual

This method calls normalize(X,Teuchos::null,B); see documentation for that function.

Implements Belos::OrthoManager< ScalarType, MV >.

Reimplemented in Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::IMGSOrthoManager< ScalarType, MV, OP >, and Belos::DGKSOrthoManager< ScalarType, MV, OP >.

Definition at line 280 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
virtual int Belos::MatOrthoManager< ScalarType, MV, OP >::projectAndNormalizeWithMxImpl ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > >  C,
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > >  B,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
protectedpure virtual
template<class ScalarType, class MV, class OP>
virtual int Belos::MatOrthoManager< ScalarType, MV, OP >::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
inlineprotectedvirtual

Implements Belos::OrthoManager< ScalarType, MV >.

Definition at line 294 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
int Belos::MatOrthoManager< ScalarType, MV, OP >::projectAndNormalize ( MV &  X,
Teuchos::RCP< MV >  MX,
Teuchos::Array< Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > > >  C,
Teuchos::RCP< Teuchos::SerialDenseMatrix< int, ScalarType > >  B,
Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q 
) const
inline

Given a set of bases Q[i] and a multivector X, this method computes an orthonormal basis for $colspan(X) - \sum_i colspan(Q[i])$.

This routine returns an integer rank stating the rank of the computed basis. If the subspace $colspan(X) - \sum_i colspan(Q[i])$ does not have dimension as large as the number of columns of X and the orthogonalization manager doe not attempt to augment the subspace, then rank may be smaller than the number of columns of X. In this case, only the first rank columns of output X and first rank rows of B will be valid.

Note
This routine guarantees both the orthgonality constraints against the Q[i] as well as the orthonormality constraints. Therefore, this method is not necessarily equivalent to calling project() followed by a call to normalize(); see the documentation for specific orthogonalization managers.
Parameters
X[in/out] The multivector to the modified. On output, the relevant rows of X will be orthogonal to the Q[i] and will have orthonormal columns (with respect to innerProd()).
MX[in/out] The image of the multivector under the specified operator. If MX is null, it is not used. On output, it returns the image of the valid basis vectors under the specified operator.
C[out] The coefficients of the original X in the *Q[i], with respect to innerProd(). If C[i] is a non-null pointer and *C[i] matches the dimensions of X and *Q[i], then the coefficients computed during the orthogonalization routine will be stored in the matrix *C[i]. If C[i] is a non-null pointer whose size does not match the dimensions of X and *Q[i], then a std::invalid_argument std::exception will be thrown. Otherwise, if C.size() < i or C[i] is a null pointer, then the orthogonalization manager will declare storage for the coefficients and the user will not have access to them.
B[out] The coefficients of X in the computed basis. If B is a non-null pointer and *B has appropriate dimensions, then the coefficients computed during the orthogonalization routine will be stored in the matrix *B. If B is a non-null pointer whose size does not match the dimensions of X, then a std::invalid_argument std::exception will be thrown. Otherwise, the orthogonalization manager will declare storage for the coefficients and the user will not have access to them. This matrix may or may not be triangular; see documentation for individual orthogonalization managers.
Q[in] A list of multivector bases specifying the subspaces to be orthogonalized against. Each Q[i] is assumed to have orthonormal columns, and the Q[i] are assumed to be mutually orthogonal.
Returns
Rank of the basis computed by this method.

Definition at line 339 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
virtual Teuchos::ScalarTraits<ScalarType>::magnitudeType Belos::MatOrthoManager< ScalarType, MV, OP >::orthonormError ( const MV &  X) const
inlinevirtual
template<class ScalarType, class MV, class OP>
virtual Teuchos::ScalarTraits<ScalarType>::magnitudeType Belos::MatOrthoManager< ScalarType, MV, OP >::orthonormError ( const MV &  X,
Teuchos::RCP< const MV >  MX 
) const
pure virtual

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

Implemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::DGKSOrthoManager< ScalarType, MV, OP >, and Belos::IMGSOrthoManager< ScalarType, MV, OP >.

template<class ScalarType, class MV, class OP>
virtual Teuchos::ScalarTraits<ScalarType>::magnitudeType Belos::MatOrthoManager< ScalarType, MV, OP >::orthogError ( const MV &  X1,
const MV &  X2 
) const
inlinevirtual
template<class ScalarType, class MV, class OP>
virtual Teuchos::ScalarTraits<ScalarType>::magnitudeType Belos::MatOrthoManager< ScalarType, MV, OP >::orthogError ( const MV &  X1,
Teuchos::RCP< const MV >  MX1,
const MV &  X2 
) const
pure virtual

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

Implemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::DGKSOrthoManager< ScalarType, MV, OP >, and Belos::IMGSOrthoManager< ScalarType, MV, OP >.

Member Data Documentation

template<class ScalarType, class MV, class OP>
Teuchos::RCP<const OP> Belos::MatOrthoManager< ScalarType, MV, OP >::_Op
protected

Definition at line 48 of file BelosMatOrthoManager.hpp.

template<class ScalarType, class MV, class OP>
bool Belos::MatOrthoManager< ScalarType, MV, OP >::_hasOp
protected

Definition at line 49 of file BelosMatOrthoManager.hpp.


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

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