/usr/include/trilinos/Teko_BlockLowerTriInverseOp.hpp

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#ifndef __Teko_BlockLowerTriInverseOp_hpp__
#define __Teko_BlockLowerTriInverseOp_hpp__

#include "Teko_Utilities.hpp"
#include "Teko_BlockImplicitLinearOp.hpp"

namespace Teko {

/** \brief This linear operator computes the inverse
  *        of a lower triangular matrix.
  *
  * This linear operator computes the inverse
  * of a lower triangular matrix. This requires,
  * the lower triangular blocks, as well as the 
  * inverse of the operators on the diagonal.
  */
class BlockLowerTriInverseOp : public BlockImplicitLinearOp {
public:
   using BlockImplicitLinearOp::implicitApply;

   /** \brief This constructor explicitly takes a lower triangular matrix
     *        and inverse diagonal operators and builds a forward substitution operator.
     *
     * This constructor explicitly takes a lower triangular matrix
     * and inverse diagonal operators and builds a forward substitution operator.
     *
     * @param[in] L Lower triangular matrix object
     * @param[in] invDiag Vector containing the inverse of the diagonal blocks
     */
   BlockLowerTriInverseOp(BlockedLinearOp & L,const std::vector<LinearOp> & invDiag);

   //! @name Inherited methods from Thyra::LinearOpBase
   //@{

   /** @brief Range space of this operator */
   virtual VectorSpace range() const { return productRange_; }

   /** @brief Domain space of this operator */
   virtual VectorSpace domain() const { return productDomain_; }

   /** @brief Perform a matrix vector multiply with this operator. 
     *
     * The <code>apply</code> function takes one vector as input 
     * and applies the inverse \f$ LDU \f$ decomposition. The result
     * is returned in \f$y\f$. If this operator is reprsented as \f$M\f$ then
     * \f$ y = \alpha M x + \beta y \f$ (ignoring conjugation!).
     *
     * @param[in]     x 
     * @param[in,out] y 
     * @param[in]     alpha (default=1)
     * @param[in]     beta  (default=0)
     */
   virtual void implicitApply(const BlockedMultiVector & x, BlockedMultiVector & y,
              const double alpha = 1.0, const double beta = 0.0) const;
   //@}

   virtual void describe(Teuchos::FancyOStream &out_arg,
                         const Teuchos::EVerbosityLevel verbLevel) const;

protected:
   // fundamental operators to use
   const BlockedLinearOp L_;  ///< operator \f$ L \f$
   std::vector<LinearOp> invDiag_; ///< (Approximate) Inverses of the diagonal operators

   Teuchos::RCP<const Thyra::ProductVectorSpaceBase<double> > productRange_; ///< Range vector space.
   Teuchos::RCP<const Thyra::ProductVectorSpaceBase<double> > productDomain_; ///< Domain vector space.

   // scratch space...so we don't have to reallocate
   mutable BlockedMultiVector srcScrap_;
   mutable BlockedMultiVector dstScrap_;

private:
   // hide me!
   BlockLowerTriInverseOp();
   BlockLowerTriInverseOp(const BlockLowerTriInverseOp &);
};

inline LinearOp createBlockLowerTriInverseOp(BlockedLinearOp & U,const std::vector<LinearOp> & invDiag)
{
   return Teuchos::rcp(new BlockLowerTriInverseOp(U,invDiag));
}

inline LinearOp createBlockLowerTriInverseOp(BlockedLinearOp & L,const std::vector<LinearOp> & invDiag,const std::string & str)
{
   Teuchos::RCP<Thyra::LinearOpBase<double> > result = Teuchos::rcp(new BlockLowerTriInverseOp(L,invDiag));
   result->setObjectLabel(str);

   return result;
}

} // end namespace Teko

#endif
libtrilinos-teko-dev 12.12.1-5 / usr / include / trilinos / Teko_BlockLowerTriInverseOp.hpp
