Esempio n. 1
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  // The problem is defined on a 2D grid, global size is nx * nx.
  int nx = 30;
  Teuchos::ParameterList GaleriList;
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  // I wanna test funky values to be sure that they have the same
  // influence on the algorithms, both old and new
  int    LevelFill = 2;
  double DropTol = 0.3333;
  double Condest;
  
  Teuchos::RefCountPtr<Ifpack_CrsIct> ICT;
  ICT = Teuchos::rcp( new Ifpack_CrsIct(*A,DropTol,LevelFill) );
  ICT->SetAbsoluteThreshold(0.00123);
  ICT->SetRelativeThreshold(0.9876);
  // Init values from A
  ICT->InitValues(*A);
  // compute the factors
  ICT->Factor();
  // and now estimate the condition number
  ICT->Condest(false,Condest);
  
  if( Comm.MyPID() == 0 ) {
    cout << "Condition number estimate (level-of-fill = "
	 << LevelFill <<  ") = " << Condest << endl;
  }

  // Define label for printing out during the solve phase
  string label = "Ifpack_CrsIct Preconditioner: LevelFill = " + toString(LevelFill) + 
                                                 " Overlap = 0"; 
  ICT->SetLabel(label.c_str());
  
  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  int Niters = 1200;

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*ICT);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

  int OldIters = solver.NumIters();

  // now rebuild the same preconditioner using ICT, we expect the same
  // number of iterations

  Ifpack Factory;
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec = Teuchos::rcp( Factory.Create("IC", &*A) );

  Teuchos::ParameterList List;
  List.get("fact: level-of-fill", 2);
  List.get("fact: drop tolerance", 0.3333);
  List.get("fact: absolute threshold", 0.00123);
  List.get("fact: relative threshold", 0.9876);
  List.get("fact: relaxation value", 0.0);

  IFPACK_CHK_ERR(Prec->SetParameters(List));
  IFPACK_CHK_ERR(Prec->Compute());

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*Prec);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

  int NewIters = solver.NumIters();

  if (OldIters != NewIters)
    IFPACK_CHK_ERR(-1);

#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}
Esempio n. 2
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  // The problem is defined on a 2D grid, global size is nx * nx.
  int nx = 30;
  Teuchos::ParameterList GaleriList;
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ========================================= //
  // Compare IC preconditioners to no precond. //
  // ----------------------------------------- //

  const double tol = 1e-5;
  const int maxIter = 500;

  // Baseline: No preconditioning
  // Compute number of iterations, to compare to IC later.

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  //solver.SetPrecOperator(&*PrecDiag);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  int Iters = solver.NumIters();
  //cout << "No preconditioner iterations: " << Iters << endl;

#if 0 
  // Not sure how to use Ifpack_CrsRick - leave out for now.
  //
  // I wanna test funky values to be sure that they have the same
  // influence on the algorithms, both old and new
  int    LevelFill = 2;
  double DropTol = 0.3333;
  double Condest;
  
  Teuchos::RefCountPtr<Ifpack_CrsRick> IC;
  Ifpack_IlukGraph mygraph (A->Graph(), 0, 0);
  IC = Teuchos::rcp( new Ifpack_CrsRick(*A, mygraph) );
  IC->SetAbsoluteThreshold(0.00123);
  IC->SetRelativeThreshold(0.9876);
  // Init values from A
  IC->InitValues(*A);
  // compute the factors
  IC->Factor();
  // and now estimate the condition number
  IC->Condest(false,Condest);
  
  if( Comm.MyPID() == 0 ) {
    cout << "Condition number estimate (level-of-fill = "
	 << LevelFill <<  ") = " << Condest << endl;
  }

  // Define label for printing out during the solve phase
  std::string label = "Ifpack_CrsRick Preconditioner: LevelFill = " + toString(LevelFill) + 
                                                 " Overlap = 0"; 
  IC->SetLabel(label.c_str());
  
  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*IC);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  int RickIters = solver.NumIters();
  //cout << "Ifpack_Rick iterations: " << RickIters << endl;

  // Compare to no preconditioning
  if (RickIters > Iters/2)
    IFPACK_CHK_ERR(-1);

#endif

  //////////////////////////////////////////////////////
  // Same test with Ifpack_IC
  // This is Crout threshold Cholesky, so different than IC(0)

  Ifpack Factory;
  Teuchos::RefCountPtr<Ifpack_Preconditioner> PrecIC = Teuchos::rcp( Factory.Create("IC", &*A) );

  Teuchos::ParameterList List;
  //List.get("fact: ict level-of-fill", 2.);
  //List.get("fact: drop tolerance", 0.3333);
  //List.get("fact: absolute threshold", 0.00123);
  //List.get("fact: relative threshold", 0.9876);
  //List.get("fact: relaxation value", 0.0);

  IFPACK_CHK_ERR(PrecIC->SetParameters(List));
  IFPACK_CHK_ERR(PrecIC->Compute());

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  //AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*PrecIC);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  int ICIters = solver.NumIters();
  //cout << "Ifpack_IC iterations: " << ICIters << endl;

  // Compare to no preconditioning
  if (ICIters > Iters/2)
    IFPACK_CHK_ERR(-1);

#if 0
  //////////////////////////////////////////////////////
  // Same test with Ifpack_ICT 
  // This is another threshold Cholesky

  Teuchos::RefCountPtr<Ifpack_Preconditioner> PrecICT = Teuchos::rcp( Factory.Create("ICT", &*A) );

  //Teuchos::ParameterList List;
  //List.get("fact: level-of-fill", 2);
  //List.get("fact: drop tolerance", 0.3333);
  //List.get("fact: absolute threshold", 0.00123);
  //List.get("fact: relative threshold", 0.9876);
  //List.get("fact: relaxation value", 0.0);

  IFPACK_CHK_ERR(PrecICT->SetParameters(List));
  IFPACK_CHK_ERR(PrecICT->Compute());

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*PrecICT);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  int ICTIters = solver.NumIters();
  //cout << "Ifpack_ICT iterations: " << ICTIters << endl;

  // Compare to no preconditioning
  if (ICTIters > Iters/2)
    IFPACK_CHK_ERR(-1);
#endif

#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}
Esempio n. 3
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int ierr=HIPS_Initialize(1);
  HIPS_ExitOnError(ierr);

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  Teuchos::ParameterList GaleriList;
  int nx = 100; 
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  //  GaleriList.set("ny", nx);
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
                 
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  Teuchos::RefCountPtr<Ifpack_HIPS> RILU;

  RILU = Teuchos::rcp( new Ifpack_HIPS(&*A) );

  Teuchos::ParameterList List;
  List.set("hips: id",0);
  List.set("hips: setup output",2);
  List.set("hips: iteration output",0);
  List.set("hips: drop tolerance",5e-3);
  List.set("hips: graph symmetric",1);
  RILU->SetParameters(List);

  
  RILU->Initialize();
  RILU->Compute();

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  int Niters = 50;

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_gmres);
  solver.SetPrecOperator(&*RILU);
  solver.SetAztecOption(AZ_output, 1); 
  solver.Iterate(Niters, 1.0e-8);

  int OldIters = solver.NumIters();


  HIPS_Finalize();
  
#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}
Esempio n. 4
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif
  
  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  
  /*int npRows = -1;
  int npCols = -1;
  bool useTwoD = false;
  int randomize = 1;
  std::string matrix = "Laplacian";
  
  Epetra_CrsMatrix *AK = NULL;
    std::string filename = "email.mtx";
  read_matrixmarket_file((char*) filename.c_str(), Comm, AK,
			 useTwoD, npRows, npCols,
			 randomize, false,
			 (matrix.find("Laplacian")!=std::string::npos));
  Teuchos::RCP<Epetra_CrsMatrix> A(AK);
  const Epetra_Map *AMap = &(AK->DomainMap());
  Teuchos::RCP<const Epetra_Map> Map(AMap, false);*/

  int nx = 30;
  Teuchos::ParameterList GaleriList;
  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );

  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );


  LHS->PutScalar(0.0); RHS->Random();

  // ==================================================== //
  // Compare support graph preconditioners to no precond. //
  // ---------------------------------------------------- //

  const double tol = 1e-5;
  const int maxIter = 500;

  // Baseline: No preconditioning
  // Compute number of iterations, to compare to IC later.

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  int Iters = solver.NumIters();


  int SupportIters;
  Ifpack Factory;
  Teuchos::ParameterList List;

#ifdef HAVE_IFPACK_AMESOS
  //////////////////////////////////////////////////////
  // Same test with Ifpack_SupportGraph
  // Factored with Amesos

  
  Teuchos::RefCountPtr<Ifpack_Preconditioner> PrecSupportAmesos = Teuchos::rcp( Factory.Create("MSF Amesos", &*A) );
  List.set("amesos: solver type","Klu");
  List.set("MST: keep diagonal", 1.0);
  List.set("MST: randomize", 1);
  //List.set("fact: absolute threshold", 3.0);
  
  IFPACK_CHK_ERR(PrecSupportAmesos->SetParameters(List));
  IFPACK_CHK_ERR(PrecSupportAmesos->Initialize());
  IFPACK_CHK_ERR(PrecSupportAmesos->Compute());


  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  //AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*PrecSupportAmesos);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(maxIter, tol);

  SupportIters = solver.NumIters();




  
  // Compare to no preconditioning
  if (SupportIters > 2*Iters)
    IFPACK_CHK_ERR(-1);

#endif

  //////////////////////////////////////////////////////
  // Same test with Ifpack_SupportGraph
  // Factored with IC
  

  
  Teuchos::RefCountPtr<Ifpack_Preconditioner> PrecSupportIC = Teuchos::rcp( Factory.Create("MSF IC", &*A) );

  

  IFPACK_CHK_ERR(PrecSupportIC->SetParameters(List));
  IFPACK_CHK_ERR(PrecSupportIC->Compute());


  // Here we create an AztecOO object                                                                                                                                                                                                        
  LHS->PutScalar(0.0);

  //AztecOO solver;                                                                                                                                                                                                                          
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_cg);
  solver.SetPrecOperator(&*PrecSupportIC);
  solver.SetAztecOption(AZ_output, 16);
  solver.Iterate(maxIter, tol);

  SupportIters = solver.NumIters();

  // Compare to no preconditioning                                                                                                                                                                                                           
  if (SupportIters > 2*Iters)
    IFPACK_CHK_ERR(-1);
  




#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}
Esempio n. 5
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  Teuchos::ParameterList GaleriList;
  int nx = 30; 

  GaleriList.set("nx", nx);
  //  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("ny", nx);
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  GaleriList.set("alpha", .0);
  GaleriList.set("diff", 1.0);
  GaleriList.set("conv", 100.0);

  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap64("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("UniFlow2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();
  Ifpack Factory;  
  int Niters = 100;

  // ============================= //
  // Construct IHSS preconditioner //
  // ============================= //
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec = Teuchos::rcp( Factory.Create("IHSS", &*A,0) );
  Teuchos::ParameterList List;
  List.set("ihss: hermetian type","ILU");
  List.set("ihss: skew hermetian type","ILU");
  List.set("ihss: ratio eigenvalue",100.0);
  // Could set sublist values here to better control the ILU, but this isn't needed for this example.
  IFPACK_CHK_ERR(Prec->SetParameters(List));
  IFPACK_CHK_ERR(Prec->Compute());

  // ============================= //
  // Create solver Object          //
  // ============================= //

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_gmres);
  solver.SetPrecOperator(&*Prec);
  solver.SetAztecOption(AZ_output, 1); 
  solver.Iterate(Niters, 1e-8);

  // ============================= //
  // Construct SORa preconditioner //
  // ============================= //
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec2 = Teuchos::rcp( Factory.Create("SORa", &*A,0) );
  Teuchos::ParameterList List2;
  List2.set("sora: sweeps",1);
  // Could set sublist values here to better control the ILU, but this isn't needed for this example.
  IFPACK_CHK_ERR(Prec2->SetParameters(List2));
  IFPACK_CHK_ERR(Prec2->Compute());

  // ============================= //
  // Create solver Object          //
  // ============================= //
  AztecOO solver2;
  LHS->PutScalar(0.0);
  solver2.SetUserMatrix(&*A);
  solver2.SetLHS(&*LHS);
  solver2.SetRHS(&*RHS);
  solver2.SetAztecOption(AZ_solver,AZ_gmres);
  solver2.SetPrecOperator(&*Prec2);
  solver2.SetAztecOption(AZ_output, 1); 
  solver2.Iterate(Niters, 1e-8);

#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}
Esempio n. 6
0
int main(int argc, char *argv[]) {

#ifdef HAVE_MPI
  MPI_Init(&argc,&argv);
  Epetra_MpiComm Comm (MPI_COMM_WORLD);
#else
  Epetra_SerialComm Comm;
#endif

  int MyPID = Comm.MyPID();
  bool verbose = false; 
  if (MyPID==0) verbose = true;

  Teuchos::ParameterList GaleriList;
  int nx = 30; 

  GaleriList.set("nx", nx);
  GaleriList.set("ny", nx * Comm.NumProc());
  GaleriList.set("mx", 1);
  GaleriList.set("my", Comm.NumProc());
  Teuchos::RefCountPtr<Epetra_Map> Map = Teuchos::rcp( Galeri::CreateMap("Cartesian2D", Comm, GaleriList) );
  Teuchos::RefCountPtr<Epetra_CrsMatrix> A = Teuchos::rcp( Galeri::CreateCrsMatrix("Laplace2D", &*Map, GaleriList) );
  Teuchos::RefCountPtr<Epetra_MultiVector> LHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  Teuchos::RefCountPtr<Epetra_MultiVector> RHS = Teuchos::rcp( new Epetra_MultiVector(*Map, 1) );
  LHS->PutScalar(0.0); RHS->Random();

  // ============================ //
  // Construct ILU preconditioner //
  // ---------------------------- //

  // I wanna test funky values to be sure that they have the same
  // influence on the algorithms, both old and new
  int    LevelFill = 2;
  double DropTol = 0.3333;
  double Athresh = 0.0123;
  double Rthresh = 0.9876;
  double Relax   = 0.1;
  int    Overlap = 2;
  
  Teuchos::RefCountPtr<Ifpack_IlukGraph> Graph;
  Teuchos::RefCountPtr<Ifpack_CrsRiluk> RILU;

  Graph = Teuchos::rcp( new Ifpack_IlukGraph(A->Graph(), LevelFill, Overlap) );
  int ierr;
  ierr = Graph->ConstructFilledGraph();
  IFPACK_CHK_ERR(ierr);

  RILU = Teuchos::rcp( new Ifpack_CrsRiluk(*Graph) );
  RILU->SetAbsoluteThreshold(Athresh);
  RILU->SetRelativeThreshold(Rthresh);
  RILU->SetRelaxValue(Relax);
  int initerr = RILU->InitValues(*A);
  if (initerr!=0) cout << Comm << "*ERR* InitValues = " << initerr;

  RILU->Factor();

  // Define label for printing out during the solve phase
  string label = "Ifpack_CrsRiluk Preconditioner: LevelFill = " + toString(LevelFill) +
                                                 " Overlap = " + toString(Overlap) +
                                                 " Athresh = " + toString(Athresh) +
                                                 " Rthresh = " + toString(Rthresh);
  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  int Niters = 1200;

  AztecOO solver;
  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_gmres);
  solver.SetPrecOperator(&*RILU);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

  int OldIters = solver.NumIters();

  // now rebuild the same preconditioner using RILU, we expect the same
  // number of iterations

  Ifpack Factory;
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec = Teuchos::rcp( Factory.Create("ILU", &*A, Overlap) );

  Teuchos::ParameterList List;
  List.get("fact: level-of-fill", LevelFill);
  List.get("fact: drop tolerance", DropTol);
  List.get("fact: absolute threshold", Athresh);
  List.get("fact: relative threshold", Rthresh);
  List.get("fact: relax value", Relax);

  IFPACK_CHK_ERR(Prec->SetParameters(List));
  IFPACK_CHK_ERR(Prec->Compute());

  // Here we create an AztecOO object
  LHS->PutScalar(0.0);

  solver.SetUserMatrix(&*A);
  solver.SetLHS(&*LHS);
  solver.SetRHS(&*RHS);
  solver.SetAztecOption(AZ_solver,AZ_gmres);
  solver.SetPrecOperator(&*Prec);
  solver.SetAztecOption(AZ_output, 16); 
  solver.Iterate(Niters, 5.0e-5);

  int NewIters = solver.NumIters();

  if (OldIters != NewIters)
    IFPACK_CHK_ERR(-1);


#ifdef HAVE_IFPACK_SUPERLU
  // Now test w/ SuperLU's ILU, if we've got it
  Teuchos::RefCountPtr<Ifpack_Preconditioner> Prec2 = Teuchos::rcp( Factory.Create("SILU", &*A,0) ); 
  Teuchos::ParameterList SList;
  SList.set("fact: drop tolerance",1e-4);
  SList.set("fact: zero pivot threshold",.1);
  SList.set("fact: maximum fill factor",10.0);
  // NOTE: There is a bug in SuperLU 4.0 which will crash the code if the maximum fill factor is set too low.
  // This bug was reported to Sherry Li on 4/8/10.
  SList.set("fact: silu drop rule",9);

  IFPACK_CHK_ERR(Prec2->SetParameters(SList));
  IFPACK_CHK_ERR(Prec2->Compute());

  LHS->PutScalar(0.0);
  solver.SetPrecOperator(&*Prec2);
  solver.Iterate(Niters, 5.0e-5);
  Prec2->Print(cout);

#endif


#ifdef HAVE_MPI
  MPI_Finalize() ;
#endif

  return(EXIT_SUCCESS);
}