  In this work we calculate the Cram\'{e}r-Rao, the Fisher-Shannon and the
L\'{o}pez-Ruiz-Mancini-Calbert (LMC) complexity measures for eigenstates of a
deformed Schr\"{o}dinger equation, being this intrinsically linked with
position-dependent mass (PDM) systems. The formalism presented is illustrated
with a particle confined in an infinite potential well. Abrupt variation of the
complexity near to the asymptotic value of the PDM-function $m(x)$ and erasure
of its asymmetry along with negative values of the entropy density in the
position space, are reported as a consequence of the interplay between the
deformation and the complexity.
