  Two and three dimensional random Ising models with a Gaussian distribution of
couplings with variance $J$ and non-vanishing mean value $J_0$ are studied
using the zero-temperature domain-wall renormalization group (DWRG). The DWRG
trajectories in the ($J_0,J$) plane after rescaling can be collapsed on two
curves: one for $J_0/J > r_c$ and other for $J_0/J < r_c$. In the first case
the DWRG flows are toward the ferromagnetic fixed point both in two and three
dimensions while in the second case flows are towards a paramagnetic fixed
point and spin-glass fixed point in two and three dimensions respectively. No
evidence for an extra phase is found.

Condensed Matter