The exponential parameterization of Pontecorvo-Maki-Nakagawa-Sakata mixing
matrix for neutrino is used for comparative analysis of different neutrino
mixing data. The UPMNS matrix is considered as the element of the SU(3) group
and the second order matrix polynomial is constructed for it. The inverse
problem of constructing the logarithm of the mixing matrix is addressed. In
this way the standard parameterization is related to the exponential
parameterization exactly. The exponential form allows easy factorization and
separate analysis of the rotation and the CP violation. With the most recent
experimental data on the neutrino mixing (May 2016), we calculate the values of
the exponential parameterization matrix for neutrinos with account for the CP
violation. The complementarity hypothesis for quarks and neutrinos is
demonstrated to hold, despite significant change in the neutrino mixing data.
The values of the entries of the exponential mixing matrix are evaluated with
account for the actual degree of the CP violation in neutrino mixing and
without it. Various factorizations of the CP violating term are investigated in
the framework of the exponential parameterization
