transpose()

Matrix * Matrix::transpose

(

)

const

Definition at line 566 of file matrix.cpp.

{
  const FreeModule *F = cols()->transpose();
  const FreeModule *G = rows()->transpose();
  const Ring *R = F->get_ring();
 
  MatrixConstructor mat(F, G, degree_shift());
 
  // The efficiency of this code relies on the way of ordering
  // the sparse vectors (lead term has largest component)
  iterator i(this);
  for (int c = 0; c < n_cols(); c++)
    {
      for (i.set(c); i.valid(); i.next())
        {
          ring_elem f = i.entry();
          mat.set_entry(c, i.row(), R->antipode(f));
        }
    }
  return mat.to_matrix();
}

References Ring::antipode(), cols(), degree_shift(), Matrix::iterator::entry(), FreeModule, G, FreeModule::get_ring(), Matrix(), MatrixConstructor, n_cols(), Matrix::iterator::next(), Matrix::iterator::row(), rows(), Matrix::iterator::set(), MatrixConstructor::set_entry(), MatrixConstructor::to_matrix(), transpose(), and Matrix::iterator::valid().

Referenced by IM2_Matrix_transpose(), and transpose().