The competition between resolution and the imaging field of view is a long-standing problem
in traditional imaging systems—they can produce either an image of a small area with fine …

Recently, several convergence rate results for Douglas-Rachford splitting and the
alternating direction method of multipliers (ADMM) have been presented in the literature. In …

Abstract We adapt the Douglas–Rachford (DR) splitting method to solve nonconvex
feasibility problems by studying this method for a class of nonconvex optimization problem …

Although originally designed and analyzed for convex problems, the alternating direction
method of multipliers (ADMM) and its close relatives, Douglas--Rachford splitting (DRS) and …

We survey optimization problems that involve the cardinality of variable vectors in
constraints or the objective function. We provide a unified viewpoint on the general problem …

Abstract The Douglas–Rachford splitting algorithm is a classical optimization method that
has found many applications. When specialized to two normal cone operators, it yields an …

Recently, several authors have shown local and global convergence rate results for Douglas–
Rachford splitting under strong monotonicity, Lipschitz continuity, and cocoercivity …

In this paper, we investigate the Douglas–Rachford method (DR) for two closed (possibly
nonconvex) sets in Euclidean spaces. We show that under certain regularity conditions, the …

We consider the recovery of a finite stream of Dirac pulses at nonuniform locations, from
noisy lowpass-filtered samples. We show that maximum-likelihood estimation of the …

We develop a framework for quantitative convergence analysis of Picard iterations of
expansive set-valued fixed point mappings. There are two key components of the analysis …