  The extrapolation of small-cluster exact-diagonalization calculations is used
to examine ferromagnetism in the one-dimensional Hubbard model with long-range
and correlated hopping. It is found that the correlated hopping term stabilizes
the ferromagnetic state for a wide range of electron interactions $U$ and
electron concentrations $n$. The critical value of the interaction strength
$U_c$ above which the ferromagnetic state becomes stable is calculated
numerically and the ground-state phase diagram of the model is presented for
physically the most interesting cases.
