  This paper proposes a multiblock alternating direction method of multipliers
for solving a class of multiblock nonsmooth nonconvex optimization problem with
nonlinear coupling constraints. We employ a majorization minimization procedure
in the update of each block of the primal variables. Subsequential and global
convergence of the generated sequence to a critical point of the augmented
Lagrangian are proved. We also establish iteration complexity and provide
preliminary numerical results for the proposed algorithm.
