[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
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 …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Linear convergence and metric selection for Douglas-Rachford splitting and ADMM
P Giselsson, S Boyd - IEEE Transactions on Automatic Control, 2016 - ieeexplore.ieee.org
Recently, several convergence rate results for Douglas-Rachford splitting and the
alternating direction method of multipliers (ADMM) have been presented in the literature. In …
alternating direction method of multipliers (ADMM) have been presented in the literature. In …
Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems
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 …
feasibility problems by studying this method for a class of nonconvex optimization problem …
Faster convergence rates of relaxed Peaceman-Rachford and ADMM under regularity assumptions
In this paper, we provide a comprehensive convergence rate analysis of the Douglas-
Rachford splitting (DRS), Peaceman-Rachford splitting (PRS), and alternating direction …
Rachford splitting (DRS), Peaceman-Rachford splitting (PRS), and alternating direction …
Convergence rates with inexact non-expansive operators
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 …
iteration built from non-expansive operators. The presented results include two main parts …
Set regularities and feasibility problems
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 …
sets, as they appear in the convergence theory of projection methods for consistent …
Tight global linear convergence rate bounds for Douglas–Rachford splitting
P Giselsson - Journal of Fixed Point Theory and Applications, 2017 - Springer
Recently, several authors have shown local and global convergence rate results for Douglas–
Rachford splitting under strong monotonicity, Lipschitz continuity, and cocoercivity …
Rachford splitting under strong monotonicity, Lipschitz continuity, and cocoercivity …
Alternating projections and Douglas-Rachford for sparse affine feasibility
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 …
underdetermined system of linear equations is an NP-complete problem that is typically …
Cadzow denoising upgraded: A new projection method for the recovery of Dirac pulses from noisy linear measurements
L Condat, A Hirabayashi - Sampling Theory in Signal and Image …, 2015 - Springer
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 …
noisy lowpass-filtered samples. We show that maximum-likelihood estimation of the …
Quantitative convergence analysis of iterated expansive, set-valued mappings
D Russell Luke, NH Thao… - Mathematics of Operations …, 2018 - pubsonline.informs.org
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 …
expansive set-valued fixed point mappings. There are two key components of the analysis …