  We examine whether the inverted hierarchical model of neutrinos is compatible
with the explanation of the large mixing angles (LMA)MSW solution of the solar
neutrino problem. The left-handed Majorana neutrino mass matrix for the
inverted hierarchical model, is generated through the seesaw mechanism using
the diagonal form of the Dirac neutrino mass matrix and the non-diagonal
texture of the right-handed Majorana mass matrix. In a model independent way,
we construct a specific form of the charged lepton mass matrix having a special
structure in 1-2 block, which contribution to the leptonic mixing (MNS) matrix
leads to the predictions $\sin^{2}2\theta_{12}=0.8517$,
$\sin^{2}2\theta_{23}=0.9494$, and $|V_{e3}|=0.159$ at the unification scale.
These predictions are found to be consistent with the LMA MSW solution of the
solar neutrino problem. The inverted hierarchical model is also found to be
stable against the quantum radiative corrections in the MSSM. A numerical
analysis of the renormalisation group equations (RGEs) in the MSSM shows a mild
decrease of the mixing angles with the decrease of energy scale and the
corresponding values of the neutrino mixings at the top-quark mass scale are
found as $\sin^{2}2\theta_{12}=0.8472$, $\sin^{2}2\theta_{23}=0.9399$,
$|V_{e3}|=0.1509$ respectively.
