@unpublished{eprints2273,
            year = {2014},
     institution = {IMT Institute for Advanced Studies Lucca},
          author = {Panagiotis Patrinos and Lorenzo Stella and Alberto Bemporad},
           title = {Douglas-Rachford splitting: complexity estimates and accelerated variants},
           month = {July},
            type = {Working Paper},
       publisher = {ArXiv},
             url = {http://eprints.imtlucca.it/2273/},
        abstract = {We propose a new approach for analyzing convergence of the Douglas-Rachford splitting method for solving convex composite optimization problems. The approach is based on a continuously differentiable function, the Douglas-Rachford Envelope (DRE), whose stationary points correspond to the solutions of the original (possibly nonsmooth) problem. The Douglas-Rachford splitting method is shown to be equivalent to a scaled gradient method on the DRE, and so results from smooth unconstrained optimization are employed to analyze its convergence and optimally choose parameter \{{$\backslash$}gamma\} and to derive an accelerated variant of Douglas-Rachford splitting. }
}