  The purpose of this work is to give a first approach to the dynamical
behavior of Schr\"oder's method, a well known iterative process for solving
nonlinear equations. In this context we consider equations defined in the
complex plane. By using topological conjugations, we characterize the basins of
attraction of Schr\"oder's method applied to polynomials with two roots and
different multiplicities. Actually, we show that these basins are half-planes
or circles, depending on the multiplicities of the roots. We finish our study
with a graphical gallery that allow us to compare the basins of attraction of
Newton's and Schr\"ooder's method applied to some given polynomials.
  Key: Schr\"oder's method; basin of attraction; nonlinear equation.
