Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …

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 …

In this paper, we provide a comprehensive convergence rate analysis of the Douglas-
Rachford splitting (DRS), Peaceman-Rachford splitting (PRS), and alternating direction …

In this paper, we present a convergence rate analysis for the inexact Krasnosel'skiĭ–Mann
iteration built from non-expansive operators. The presented results include two main parts …

We synthesize and unify notions of regularity, both of individual sets and of collections of
sets, as they appear in the convergence theory of projection methods for consistent …

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

The problem of finding a vector with the fewest nonzero elements that satisfies an
underdetermined system of linear equations is an NP-complete problem that is typically …

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 …