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// LOCA: Library of Continuation Algorithms Package
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#ifndef LOCA_EPETRA_LOWRANKUPDATEOP_H
#define LOCA_EPETRA_LOWRANKUPDATEOP_H
#include "Teuchos_RCP.hpp"
#include "Teuchos_LAPACK.hpp"
#include "Epetra_Operator.h" // base class
#include "Epetra_LocalMap.h" // class data element
#include "Epetra_MultiVector.h" // class data element
#include "NOX_Common.H" // for std::string data member
// forward declarations
namespace LOCA {
class GlobalData;
}
namespace LOCA {
namespace Epetra {
/*!
* \brief An Epetra operator for implementing the operator
* \f$P = J + U V^T\f$.
*/
/*!
* This class implements the Epetra_Operator interface for
* \f$P = J + U V^T\f$ where \f$J\f$ is an Epetra_Operator and
* \f$U\f$ and \f$V\f$ are Epetra_MultiVectors.
*/
class LowRankUpdateOp : public virtual Epetra_Operator {
public:
//! Constructor
/*!
* \param global_data [in] The global data object
* \param jacOperator [in] Jacobian operator J
* \param U_multiVec [in] Multivector representing U
* \param V_multiVec [in] Multivector representing V
*/
LowRankUpdateOp(
const Teuchos::RCP<LOCA::GlobalData>& global_data,
const Teuchos::RCP<Epetra_Operator>& jacOperator,
const Teuchos::RCP<const Epetra_MultiVector>& U_multiVec,
const Teuchos::RCP<const Epetra_MultiVector>& V_multiVec,
bool setup_for_solve);
//! Destructor
virtual ~LowRankUpdateOp();
//! Set to true if the transpose of the operator is requested
virtual int SetUseTranspose(bool UseTranspose);
/*!
* \brief Returns the result of a Epetra_Operator applied to a
* Epetra_MultiVector Input in Result as described above.
*/
virtual int Apply(const Epetra_MultiVector& Input,
Epetra_MultiVector& Result) const;
/*!
* \brief This method does nothing.
*/
virtual int ApplyInverse(const Epetra_MultiVector& X,
Epetra_MultiVector& Y) const;
//! Returns an approximate infinity norm of the operator matrix.
/*!
* This is defined only if %NormInf() of the underlying operator \f$J\f$
* is defined and is given by
* \f$\|J\|_\infty+\|U\|_\infty\|V\|_\infty\f$.
*/
virtual double NormInf() const;
//! Returns a character std::string describing the operator
virtual const char* Label () const;
//! Returns the current UseTranspose setting. Always returns false.
virtual bool UseTranspose() const;
/*!
* \brief Returns true if the \e this object can provide an
* approximate Inf-norm, false otherwise.
*/
virtual bool HasNormInf() const;
/*!
* \brief Returns a reference to the Epetra_Comm communicator
* associated with this operator.
*/
virtual const Epetra_Comm & Comm() const;
/*!
* \brief Returns the Epetra_Map object associated with the
* domain of this matrix operator.
*/
virtual const Epetra_Map& OperatorDomainMap () const;
/*!
* \brief Returns the Epetra_Map object associated with the
* range of this matrix operator.
*/
virtual const Epetra_Map& OperatorRangeMap () const;
private:
//! Private to prohibit copying
LowRankUpdateOp(const LowRankUpdateOp&);
//! Private to prohibit copying
LowRankUpdateOp& operator=(const LowRankUpdateOp&);
protected:
//! Global data object
Teuchos::RCP<LOCA::GlobalData> globalData;
//! Label for operator
std::string label;
//! Local map for generating temporary matrices
Epetra_LocalMap localMap;
//! Stores operator representing J
Teuchos::RCP<Epetra_Operator> J;
//! Stores multivector representing U
Teuchos::RCP<const Epetra_MultiVector> U;
//! Stores multivector representing V
Teuchos::RCP<const Epetra_MultiVector> V;
//! Flag indicating whether to use the transpose
bool useTranspose;
//! Temporary matrix
mutable Teuchos::RCP<Epetra_MultiVector> tmpMat;
//! Stores J^{-1}*U
Teuchos::RCP<Epetra_MultiVector> JinvU;
//! Stores LU factorization of I + V^T*J^{-1}*U
Teuchos::RCP<Epetra_MultiVector> lu;
//! Stores pivots for LU factorization
std::vector<int> ipiv;
//! Lapack wrappers
Teuchos::LAPACK<int,double> lapack;
};
} // namespace Epetra
} // namespace LOCA
#endif
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