  In a transformation method, the numerical solution of a given boundary value
problem is obtained by solving one or more related initial value problems.
Therefore, a transformation method, like a shooting method, is an initial value
method. The main difference between a transformation and a shooting method is
that the former is conceived and derive its formulation from the scaling
invariance theory. This paper is concerned with the application of the
iterative transformation method to several problems in the boundary layer
theory. The iterative method is an extension of the T{\"o}pfer's non-iterative
algorithm developed as a simple way to solve the celebrated Blasius problem.
This iterative method provides a simple numerical test for the existence and
uniqueness of solutions. Here we show how the method can be applied to problems
with a homogeneous boundary conditions at infinity and in particular we solve
the Sakiadis problem of boundary layer theory. Moreover, we show how to couple
our method with Newton's root-finder. The obtained numerical results compare
well with those available in the literature. The main aim here is that any
method developed for the Blasius, or the Sakiadis, problem might be extended to
more challenging or interesting problems. In this context, the iterative
transformation method has been recently applied to compute the normal and
reverse flow solutions of Stewartson for the Falkner-Skan model [Comput. \&
Fluids, {\bf 73} (2013) pp. 202-209].
