Tpetra parallel linear algebra: Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node > Class Template Reference

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Abstract interface for operators (e.g., matrices and preconditioners). More...

#include <Tpetra_Operator.hpp>

Inheritance diagram for Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >:

Inheritance graph

Public Types
Typedefs that give access to the template parameters.
typedef Scalar	scalar_type
	The type of the entries of the input and output multivectors. More...

typedef LocalOrdinal	local_ordinal_type
	The local index type. More...

typedef GlobalOrdinal	global_ordinal_type
	The global index type. More...

typedef Node	node_type
	The Kokkos Node type. More...

Public Member Functions
Pure virtual functions to be overridden by subclasses.
virtual Teuchos::RCP< const Map< LocalOrdinal, GlobalOrdinal, Node > >	getDomainMap () const =0
	The Map associated with the domain of this operator, which must be compatible with X.getMap(). More...

virtual Teuchos::RCP< const Map< LocalOrdinal, GlobalOrdinal, Node > >	getRangeMap () const =0
	The Map associated with the range of this operator, which must be compatible with Y.getMap(). More...

virtual void	apply (const MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &X, MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &Y, Teuchos::ETransp mode=Teuchos::NO_TRANS, Scalar alpha=Teuchos::ScalarTraits< Scalar >::one(), Scalar beta=Teuchos::ScalarTraits< Scalar >::zero()) const =0
	Computes the operator-multivector application. More...

virtual bool	hasTransposeApply () const
	Whether this operator supports applying the transpose or conjugate transpose. More...

Detailed Description

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>
class Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >

Abstract interface for operators (e.g., matrices and preconditioners).

Template Parameters

Scalar	The type of the entries of the input and output MultiVector objects. See the documentation of MultiVector for details and requirements.
LocalOrdinal	The type of local indices. See the documentation of Map for requirements.
GlobalOrdinal	The type of global indices. See the documentation of Map for requirements.
Node	The Kokkos Node type. See the documentation of Map for requirements.

An Operator takes a MultiVector as input, and fills a given output MultiVector with the result. The input and output MultiVector objects must have the same number of columns (vectors). However, they need not have the same numbers of rows or the same parallel distributions. The domain of the Operator describes the parallel distribution of valid input MultiVector objects, and the range of the Operator describes the parallel distribution of valid output MultiVector objects.

Operator is just an interface, not an implementation. Many different classes implement this interface, including sparse matrices, direct solvers, iterative solvers, and preconditioners.

Definition at line 86 of file Tpetra_Operator.hpp.

Member Typedef Documentation

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

typedef Scalar Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::scalar_type

The type of the entries of the input and output multivectors.

Definition at line 92 of file Tpetra_Operator.hpp.

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

typedef LocalOrdinal Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::local_ordinal_type

The local index type.

Definition at line 95 of file Tpetra_Operator.hpp.

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

typedef GlobalOrdinal Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::global_ordinal_type

The global index type.

Definition at line 98 of file Tpetra_Operator.hpp.

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

typedef Node Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::node_type

The Kokkos Node type.

Definition at line 101 of file Tpetra_Operator.hpp.

Member Function Documentation

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

virtual Teuchos::RCP<const Map<LocalOrdinal,GlobalOrdinal,Node> > Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getDomainMap ( ) const

pure virtual

The Map associated with the domain of this operator, which must be compatible with X.getMap().

Implemented in Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::CrsMatrixMultiplyOp< Scalar, MatScalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::BlockCrsMatrix< Scalar, LO, GO, Node >, and Tpetra::details::ApplyOp< Scalar, OperatorType >.

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

virtual Teuchos::RCP<const Map<LocalOrdinal,GlobalOrdinal,Node> > Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::getRangeMap ( ) const

pure virtual

The Map associated with the range of this operator, which must be compatible with Y.getMap().

Implemented in Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::CrsMatrixMultiplyOp< Scalar, MatScalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::BlockCrsMatrix< Scalar, LO, GO, Node >, and Tpetra::details::ApplyOp< Scalar, OperatorType >.

template<class Scalar, class LocalOrdinal, class GlobalOrdinal, class Node>

virtual void Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::apply	(	const MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &	X,
		MultiVector< Scalar, LocalOrdinal, GlobalOrdinal, Node > &	Y,
		Teuchos::ETransp	mode = `Teuchos::NO_TRANS`,
		Scalar	alpha = `Teuchos::ScalarTraits< Scalar >::one()`,
		Scalar	beta = `Teuchos::ScalarTraits< Scalar >::zero()`
	)		const

pure virtual

Computes the operator-multivector application.

Loosely, performs $Y = \alpha \cdot A^{\textrm{mode}} \cdot X + \beta \cdot Y$ . However, the details of operation vary according to the values of alpha and beta. Specifically

if beta == 0, apply() must overwrite Y, so that any values in Y (including NaNs) are ignored.
if alpha == 0, apply() may short-circuit the operator, so that any values in X (including NaNs) are ignored.

Implemented in Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::CrsMatrixMultiplyOp< Scalar, MatScalar, LocalOrdinal, GlobalOrdinal, Node >, and Tpetra::details::ApplyOp< Scalar, OperatorType >.

template<class Scalar , class LocalOrdinal , class GlobalOrdinal , class Node >

bool Tpetra::Operator< Scalar, LocalOrdinal, GlobalOrdinal, Node >::hasTransposeApply ( ) const

virtual

Whether this operator supports applying the transpose or conjugate transpose.

By default, this returns false. Subclasses must override this method if they can support apply() with mode=Teuchos::TRANS or mode=Teuchos::CONJ_TRANS.

Reimplemented in Tpetra::CrsMatrix< Scalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::CrsMatrixMultiplyOp< Scalar, MatScalar, LocalOrdinal, GlobalOrdinal, Node >, Tpetra::BlockCrsMatrix< Scalar, LO, GO, Node >, and Tpetra::details::ApplyOp< Scalar, OperatorType >.

Definition at line 138 of file Tpetra_Operator.hpp.

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

Tpetra_Operator.hpp