  We endeavor to constrain the neutrino mass matrix on the phenomenological
ground and procure model-independent textures by emphasizing on the simple
linear relationships among the mass matrix elements. These simple textures
predict the two Majorana phases. In this regard, two types of parametrization
of neutrino mass matrix: general and exponential are employed. We obtain
fifty-three predictive neutrino mass matrix textures, out of which twenty-eight
are associated with the general parametrization, and the rest belong to the
exponential one. Apart from Type-A/P textures, the rest deal with the
prediction of a few other oscillation parameters as well. We try to realize the
proposed textures in the light of $A_4$, $\Delta\,(27)$ and $T_7$ symmetry
groups.
