libtrilinos-nox-dev 12.4.2-2 / usr / include / trilinos / LOCA_Epetra_LowRankUpdateRowMatrix.H

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#ifndef LOCA_EPETRA_LOWRANKUPDATEROWMATRIX_H
#define LOCA_EPETRA_LOWRANKUPDATEROWMATRIX_H

#include "Teuchos_RCP.hpp"

#include "LOCA_Epetra_LowRankUpdateOp.H" // base class
#include "Epetra_RowMatrix.h"        // base class

namespace LOCA {

  namespace Epetra {

    /*!
     * \brief An Epetra row matrix for implementing the operator
     * \f$P = J + U V^T\f$.
     */
    /*!
     * This class implements the Epetra_RowMatrix interface for
     * \f$P = J + U V^T\f$ where \f$J\f$ is an Epetra_RowMatrix and
     * \f$U\f$ and \f$V\f$ are Epetra_MultiVectors.  It is derived
     * from LOCA::Epetra::LowRankUpdateOp to implement the Epetra_Operator
     * interface.  The interface here implements the Epetra_RowMatrix
     * interface when the matrix \f$J\f$ is itself a row matrix.  This
     * allows preconditioners to be computed and scaling in linear systems
     * to be performed when using this operator.  The implementation
     * here merely adds the corresponding entries for \f$U V^T\f$ to the
     * rows of \f$J\f$.  Note however this is only an approximation to the
     * true matrix \f$J + U V^T\f$.
     *
     * This class assumes \f$U\f$ and \f$V\f$ have the same distribution
     * as the rows of \f$J\f$.
     */
    class LowRankUpdateRowMatrix :
      public LOCA::Epetra::LowRankUpdateOp,
      public virtual Epetra_RowMatrix {

    public:

      //! Constructor
      /*!
       * \param global_data [in] The global data object
       * \param jacRowMatrix [in] Jacobian operator J as a row matrix
       * \param U_multiVec [in] Multivector representing U
       * \param V_multiVec [in] Multivector representing V
       * \param setup_for_solve [in] Setup data structures for ApplyInverse()
       * \param include_UV_terms [in] Include \f$U V^T\f$ terms in RowMatrix
       *        routines ExtractRowCopy(), ExtactDiagonalCopy(), InvRowSums(),
       *        InvColSums(), NormInf() and NormOne().
       */
      LowRankUpdateRowMatrix(
        const Teuchos::RCP<LOCA::GlobalData>& global_data,
    const Teuchos::RCP<Epetra_RowMatrix>& jacRowMatrix,
    const Teuchos::RCP<Epetra_MultiVector>& U_multiVec,
    const Teuchos::RCP<Epetra_MultiVector>& V_multiVec,
    bool setup_for_solve,
    bool include_UV_terms);

      //! Destructor
      virtual ~LowRankUpdateRowMatrix();

      //! Returns a reference to the Epetra_BlockMap for this object.
      virtual const Epetra_BlockMap & Map() const;

      //@{ \name Matrix data extraction routines

      //! Returns the number of nonzero entries in MyRow.
      virtual int NumMyRowEntries(int MyRow, int & NumEntries) const;


      //! Returns the maximum of NumMyRowEntries() over all rows.
      virtual int MaxNumEntries() const;

      //! Returns a copy of the specified local row in user-provided arrays.
      virtual int ExtractMyRowCopy(int MyRow, int Length, int & NumEntries,
                   double *Values, int * Indices) const;

      //! Returns a copy of the main diagonal in a user-provided vector.
      virtual int ExtractDiagonalCopy(Epetra_Vector & Diagonal) const;

      //@}

      //@{ \name Mathematical functions.

      /*!
       * \brief Returns the result of a Epetra_RowMatrix multiplied by a
       * Epetra_MultiVector X in Y.
       */
      virtual int Multiply(bool TransA, const Epetra_MultiVector& X,
               Epetra_MultiVector& Y) const;

      /*!
       * \brief Returns result of a local-only solve using a triangular
       * Epetra_RowMatrix with Epetra_MultiVectors X and Y.
       */
      virtual int Solve(bool Upper, bool Trans, bool UnitDiagonal,
            const Epetra_MultiVector& X,
            Epetra_MultiVector& Y) const;

      /*!
       * \brief Computes the sum of absolute values of the rows of the
       * Epetra_RowMatrix, results returned in x.
       */
      virtual int InvRowSums(Epetra_Vector& x) const;

      //! Scales the Epetra_RowMatrix on the left with a Epetra_Vector x.
      virtual int LeftScale(const Epetra_Vector& x);

      /*!
       * \brief Computes the sum of absolute values of the columns of the
       * Epetra_RowMatrix, results returned in x.
       */
      virtual int InvColSums(Epetra_Vector& x) const;

      //! Scales the Epetra_RowMatrix on the right with a Epetra_Vector x.
      virtual int RightScale(const Epetra_Vector& x);

      //@}

      //@{ \name Attribute access functions

      /*!
       * \brief If FillComplete() has been called, this query returns true,
       * otherwise it returns false.
       */
      virtual bool Filled() const;

      //! Returns the infinity norm of the global matrix.
      virtual double NormInf() const;

      //! Returns the one norm of the global matrix.
      virtual double NormOne() const;

      //! Returns the number of nonzero entries in the global matrix.
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
      virtual int NumGlobalNonzeros() const;
#endif
      virtual long long NumGlobalNonzeros64() const;

      //! Returns the number of global matrix rows.
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
      virtual int NumGlobalRows() const;
#endif
      virtual long long NumGlobalRows64() const;

      //! Returns the number of global matrix columns.
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
      virtual int NumGlobalCols() const;
#endif
      virtual long long NumGlobalCols64() const;

      /*!
       * \brief Returns the number of global nonzero diagonal entries,
       * based on global row/column index comparisons.
       */
#ifndef EPETRA_NO_32BIT_GLOBAL_INDICES
      virtual int NumGlobalDiagonals() const;
#endif
      virtual long long NumGlobalDiagonals64() const;

      /*!
       * \brief Returns the number of nonzero entries in the calling
       * processor's portion of the matrix.
       */
      virtual int NumMyNonzeros() const;

      //! Returns the number of matrix rows owned by the calling processor.
      virtual int NumMyRows() const;

      //! Returns the number of matrix columns owned by the calling processor.
      virtual int NumMyCols() const;

      /*!
       * \brief Returns the number of local nonzero diagonal entries, based
       * on global row/column index comparisons.
       */
      virtual int NumMyDiagonals() const;

      /*!
       * \brief If matrix is lower triangular in local index space,
       * this query returns true, otherwise it returns false.
       */
      virtual bool LowerTriangular() const;

      /*!
       * \brief If matrix is upper triangular in local index space, this
       * query returns true, otherwise it returns false.
       */
      virtual bool UpperTriangular() const;

      /*!
       * \brief Returns the Epetra_Map object associated with the rows of
       * this matrix.
       */
      virtual const Epetra_Map & RowMatrixRowMap() const;

      /*!
       * \brief Returns the Epetra_Map object associated with the columns of
       * this matrix.
       */
      virtual const Epetra_Map & RowMatrixColMap() const;

      /*!
       * \brief Returns the Epetra_Import object that contains the import
       * operations for distributed operations.
       */
      virtual const Epetra_Import * RowMatrixImporter() const;

      //@}

    protected:

      //! Compute \c MyRow, \c MyCol entry of \f$U V^T\f$.
      double computeUV(int MyRow, int MyCol) const;

    private:

      //! Private to prohibit copying
      LowRankUpdateRowMatrix(const LowRankUpdateRowMatrix&);

      //! Private to prohibit copying
      LowRankUpdateRowMatrix& operator=(const LowRankUpdateRowMatrix&);

    protected:

      //! Stores row matrix representing J
      Teuchos::RCP<Epetra_RowMatrix> J_rowMatrix;

      //! Stores pointer to non-const U
      Teuchos::RCP<Epetra_MultiVector> nonconst_U;

      //! Stores pointer to non-const V
      Teuchos::RCP<Epetra_MultiVector> nonconst_V;

      //! Flag indicating whether to include U*V^T terms
      bool includeUV;

      //! Number of columns in U and V
      int m;

      //! Map for U
      const Epetra_BlockMap& U_map;

      //! Map for V
      const Epetra_BlockMap& V_map;

      //! Row map for J
      const Epetra_BlockMap& row_map;

    };
  } // namespace Epetra
} // namespace LOCA

#endif