  For radio interferometric arrays with a sufficient number of redundant
spacings the multiplicity of measurements of the same sky visibility can be
used to determine both the antenna gains as well as the true visibilities. Many
of the earlier approaches to this problem focused on linearized versions of the
relation between the measured and the true visibilities. Here we propose to use
a standard non-linear minimization algorithm to solve for both the antenna
gains as well as the true visibilities. We show through simulations done in the
context of the ongoing upgrade to the Ooty Radio Telescope that the non-linear
minimization algorithm is fast compared to the earlier approaches. Further,
unlike the most straightforward linearized approach, which works with the
logarithms of the visibilities and the gains, the non-linear minimization
algorithm leads to unbiased solutions. Finally we present error estimates for
the estimated gains and visibilities. Monte-Carlo simulations establish that
the estimator is indeed statistically efficient, achieving the Cramer-Rao
bound.
