Belos::OutOfPlaceNormalizerMixin< Scalar, MV > Class Template Reference

Mixin for out-of-place orthogonalization. More...

#include <BelosTsqrOrthoManager.hpp>

Inheritance diagram for Belos::OutOfPlaceNormalizerMixin< Scalar, MV >:

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 Teuchos::SerialDenseMatrix < int, Scalar >	mat_type
typedef Teuchos::RCP< mat_type >	mat_ptr

Public Member Functions
virtual int	normalizeOutOfPlace (MV &X, MV &Q, mat_ptr B) const =0
	Normalize X into Q*B. More...
virtual int	projectAndNormalizeOutOfPlace (MV &X_in, MV &X_out, Teuchos::Array< mat_ptr > C, mat_ptr B, Teuchos::ArrayView< Teuchos::RCP< const MV > > Q) const =0
	Project and normalize X_in into X_out. More...
virtual	~OutOfPlaceNormalizerMixin ()
	Trivial virtual destructor, to silence compiler warnings. More...

Detailed Description

template<class Scalar, class MV>
class Belos::OutOfPlaceNormalizerMixin< Scalar, MV >

Mixin for out-of-place orthogonalization.

Author

Mark Hoemmen

This class presents an abstract interface for multiple inheritance ("mixin") for special orthogonalization methods that normalize "out-of-place." OrthoManager and MatOrthoManager both normalize (and projectAndNormalize) multivectors "in place," meaning that the input and output multivectors are the same (X, in both cases). Gram-Schmidt (modified or classical) is an example of an orthogonalization method that can normalize (and projectAndNormalize) in place. TSQR (the Tall Skinny QR factorization, see TsqrOrthoManager.hpp for references) is an orthogonalization method which cannot normalize (or projectAndNormalize) in place.

Tsqr(Mat)OrthoManager implements (Mat)OrthoManager's normalize() and projectAndNormalize() methods with scratch space and copying. However, if you handle Tsqr(Mat)OrthoManager through this mixin, you can exploit TSQR's unique interface to avoid copying back and forth between scratch space.

Definition at line 79 of file BelosTsqrOrthoManager.hpp.

Member Typedef Documentation

template<class Scalar , class MV >

typedef Scalar Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::scalar_type

Definition at line 81 of file BelosTsqrOrthoManager.hpp.

template<class Scalar , class MV >

typedef Teuchos::ScalarTraits<Scalar>::magnitudeType Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::magnitude_type

Definition at line 82 of file BelosTsqrOrthoManager.hpp.

template<class Scalar , class MV >

Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::multivector_type

Multivector type with which this class was specialized.

Definition at line 85 of file BelosTsqrOrthoManager.hpp.

template<class Scalar , class MV >

typedef Teuchos::SerialDenseMatrix<int, Scalar> Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::mat_type

Definition at line 87 of file BelosTsqrOrthoManager.hpp.

template<class Scalar , class MV >

typedef Teuchos::RCP<mat_type> Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::mat_ptr

Definition at line 88 of file BelosTsqrOrthoManager.hpp.

Constructor & Destructor Documentation

template<class Scalar , class MV >

virtual Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::~OutOfPlaceNormalizerMixin ( )

inlinevirtual

Trivial virtual destructor, to silence compiler warnings.

Definition at line 127 of file BelosTsqrOrthoManager.hpp.

Member Function Documentation

template<class Scalar , class MV >

virtual int Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::normalizeOutOfPlace ( MV &  X, MV &  Q, mat_ptr  B  ) const

pure virtual

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.

Implemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, and Belos::TsqrOrthoManager< Scalar, MV >.

template<class Scalar , class MV >

virtual int Belos::OutOfPlaceNormalizerMixin< Scalar, MV >::projectAndNormalizeOutOfPlace ( MV &  X_in, MV &  X_out, Teuchos::Array< mat_ptr >  C, mat_ptr  B, Teuchos::ArrayView< Teuchos::RCP< const MV > >  Q  ) const

pure virtual

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

Implemented in Belos::TsqrMatOrthoManager< Scalar, MV, OP >, and Belos::TsqrOrthoManager< Scalar, MV >.

---

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

• BelosTsqrOrthoManager.hpp