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Belos's templated virtual class for providing routines for orthogonalization and orthonormzalition of multivectors using matrix-based inner products. More...
#include <BelosIteration.hpp>
Protected Attributes | |
| Teuchos::RCP< const OP > | _Op |
| bool | _hasOp |
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... | |
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  , 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 ![$colspan(X) - \sum_i colspan(Q[i])$](form_7.png) . 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 |
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... | |
Additional Inherited Members | |
 Public Member Functions inherited from Belos::OrthoManager< ScalarType, MV > | |
| OrthoManager () | |
| Default constructor. More... | |
| virtual | ~OrthoManager () |
| Destructor. 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... | |
| 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... | |
| Public Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase | |
| RCP< ParameterList > | getNonconstParameterList () |
| RCP< ParameterList > | unsetParameterList () |
| RCP< const ParameterList > | getParameterList () const |
| Public Member Functions inherited from Teuchos::ParameterListAcceptor | |
| virtual void | setParameterList (const RCP< ParameterList > ¶mList)=0 |
| virtual RCP< const ParameterList > | getValidParameters () const |
| Protected Member Functions inherited from Belos::OrthoManager< ScalarType, MV > | |
| Protected Member Functions inherited from Teuchos::ParameterListAcceptorDefaultBase | |
| void | setMyParamList (const RCP< ParameterList > ¶mList) |
| RCP< ParameterList > | getMyNonconstParamList () |
| RCP< const ParameterList > | getMyParamList () const |
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().
Definition at line 70 of file BelosIteration.hpp.
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Default constructor.
Definition at line 87 of file BelosMatOrthoManager.hpp.
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Destructor.
Definition at line 90 of file BelosMatOrthoManager.hpp.
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Set operator.
Definition at line 97 of file BelosMatOrthoManager.hpp.
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Get operator.
Definition at line 103 of file BelosMatOrthoManager.hpp.
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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 115 of file BelosMatOrthoManager.hpp.
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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 153 of file BelosMatOrthoManager.hpp.
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Provides the norm induced by innerProd().
Implements Belos::OrthoManager< ScalarType, MV >.
Definition at line 175 of file BelosMatOrthoManager.hpp.
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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.
| 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 197 of file BelosMatOrthoManager.hpp.
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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].
| 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 >.
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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 279 of file BelosMatOrthoManager.hpp.
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This method takes a multivector X and attempts to compute an orthonormal basis for , 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.
| 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. |
Implemented in Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::IMGSOrthoManager< ScalarType, MV, OP >, and Belos::DGKSOrthoManager< ScalarType, MV, OP >.
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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 312 of file BelosMatOrthoManager.hpp.
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Implements Belos::OrthoManager< ScalarType, MV >.
Definition at line 326 of file BelosMatOrthoManager.hpp.
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Given a set of bases Q[i] and a multivector X, this method computes an orthonormal basis for .
This routine returns an integer rank stating the rank of the computed basis. If the subspace 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.
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.| 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. |
Definition at line 371 of file BelosMatOrthoManager.hpp.
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This method computes the error in orthonormality of a multivector.
Implements Belos::OrthoManager< ScalarType, MV >.
Reimplemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::DGKSOrthoManager< ScalarType, MV, OP >, and Belos::IMGSOrthoManager< ScalarType, MV, OP >.
Definition at line 387 of file BelosMatOrthoManager.hpp.
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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 >.
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This method computes the error in orthogonality of two multivectors. This method.
Implements Belos::OrthoManager< ScalarType, MV >.
Reimplemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, Belos::ICGSOrthoManager< ScalarType, MV, OP >, Belos::DGKSOrthoManager< ScalarType, MV, OP >, and Belos::IMGSOrthoManager< ScalarType, MV, OP >.
Definition at line 400 of file BelosMatOrthoManager.hpp.
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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 >.
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Definition at line 80 of file BelosMatOrthoManager.hpp.
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Definition at line 81 of file BelosMatOrthoManager.hpp.
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