  In this paper the temperature dependence of the $SU(3)$--gluodynamics bulk
viscosity is studied within lattice simulations. To carry out this study we
measure the correlation function of the trace of the energy-momentum tensor for
a set of temperatures within the range $T/T_c \in (0.9, 1.5)$. To extract the
bulk viscosity from the correlation function we apply the Backus-Gilbert method
and the Tikhonov regularization method. We show that the ratio $\zeta/s$ is
small in the region $T/T_c \geqslant 1.1-1.2$ and in the vicinity of the
transition $T/T_c \leqslant 1.1-1.2$ it quickly rises. Our results are in
agreement with previous lattice studies and in a reasonable agreement with
other phenomenological approaches. Obtained values of the bulk viscosity are
significantly larger than perturbative results, what confirms that QGP is a
strongly correlated system.
