  The standard Regge poles are considered as inputs for two unitarization
methods: eikonal and U-matrix. It is shown that only models with three input
pomerons and two input odderons can describe the high energy data on $pp$ and
$\bar pp$ elastic scattering including the new data from Tevatron and LHC.
However, it seems that the both considered models (eikonal and U-matrix)
require a further modification (e.g., to explore nonlinear reggeon trajectories
and/or nonexponential vertex functions) for a more satisfactory description of
the data at 19.0 GeV$\leq \sqrt{s}\leq$ 7 TeV and 0.01 $\leq |t|\leq $14.2
GeV$^{2}$.
