  A general primal-dual splitting algorithm for solving systems of structured
coupled monotone inclusions in Hilbert spaces is introduced and its asymptotic
behavior is analyzed. Each inclusion in the primal system features compositions
with linear operators, parallel sums, and Lipschitzian operators. All the
operators involved in this structured model are used separately in the proposed
algorithm, most steps of which can be executed in parallel. This provides a
flexible solution method applicable to a variety of problems beyond the reach
of the state-of-the-art. Several applications are discussed to illustrate this
point.
