  We calculate numerically the quasinormal frequencies of the Klein-Gordon and
Dirac fields moving in the two-dimensional dimensionally reduced BTZ black
hole. Our work extends results previously published on the damped oscillations
of this black hole. First, we compute the quasinormal frequencies of the
minimally coupled Klein-Gordon field for a range of the dimensionally reduced
BTZ black hole physical parameters that is not previously analyzed. Furthermore
we determine, for the first time, the quasinormal frequencies of the Dirac
field propagating in the dimensionally reduced BTZ black hole. For the Dirac
field we use the Horowitz-Hubeny method and the asymptotic iteration method,
while for the Klein-Gordon field the extension of the previous results is based
on the asymptotic iteration method. Finally we discuss our main results.
