static char help[] = "Demonstrates the use of fast Richardson for SOR. And tests\n\
the MatSOR() routines.\n\n";

#include <petscpc.h>

int main(int argc, char **args)
{
  Mat         mat;
  Vec         b, u;
  PC          pc;
  PetscInt    n = 5, i, col[3];
  PetscScalar value[3];

  PetscFunctionBeginUser;
  PetscCall(PetscInitialize(&argc, &args, NULL, help));
  /* Create vectors */
  PetscCall(VecCreateSeq(PETSC_COMM_SELF, n, &b));
  PetscCall(VecCreateSeq(PETSC_COMM_SELF, n, &u));

  /* Create and assemble matrix */
  PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n, n, NULL, &mat));
  value[0] = -1.0;
  value[1] = 2.0;
  value[2] = -1.0;
  for (i = 1; i < n - 1; i++) {
    col[0] = i - 1;
    col[1] = i;
    col[2] = i + 1;
    PetscCall(MatSetValues(mat, 1, &i, 3, col, value, INSERT_VALUES));
  }
  i      = n - 1;
  col[0] = n - 2;
  col[1] = n - 1;
  PetscCall(MatSetValues(mat, 1, &i, 2, col, value, INSERT_VALUES));
  i        = 0;
  col[0]   = 0;
  col[1]   = 1;
  value[0] = 2.0;
  value[1] = -1.0;
  PetscCall(MatSetValues(mat, 1, &i, 2, col, value, INSERT_VALUES));
  PetscCall(MatAssemblyBegin(mat, MAT_FINAL_ASSEMBLY));
  PetscCall(MatAssemblyEnd(mat, MAT_FINAL_ASSEMBLY));

  /* Create PC context and set up data structures */
  PetscCall(PCCreate(PETSC_COMM_WORLD, &pc));
  PetscCall(PCSetType(pc, PCSOR));
  PetscCall(PCSetFromOptions(pc));
  PetscCall(PCSetOperators(pc, mat, mat));
  PetscCall(PCSetUp(pc));

  value[0] = 1.0;
  for (i = 0; i < n; i++) {
    PetscCall(VecSet(u, 0.0));
    PetscCall(VecSetValues(u, 1, &i, value, INSERT_VALUES));
    PetscCall(VecAssemblyBegin(u));
    PetscCall(VecAssemblyEnd(u));
    PetscCall(PCApply(pc, u, b));
    PetscCall(VecView(b, PETSC_VIEWER_STDOUT_SELF));
  }

  /* Free data structures */
  PetscCall(MatDestroy(&mat));
  PetscCall(PCDestroy(&pc));
  PetscCall(VecDestroy(&u));
  PetscCall(VecDestroy(&b));
  PetscCall(PetscFinalize());
  return 0;
}

/*TEST

   test:

TEST*/