Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems

A Convergent 3-Block SemiProximal Alternating Direction Method of Multipliers for Conic Programming with 4-Type Constraints

(2015) Defeng Sun et al.   SIAM JOURNAL ON OPTIMIZATION

On the local convergence of the Douglas–Rachford algorithm

(2014) H. H. Bauschke et al.   ARCHIV DER MATHEMATIK

Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility

(2014) Robert Hesse et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

$L_{1/2}$ Regularization: Convergence of Iterative Half Thresholding Algorithm

(2014) Jinshan Zeng et al.   IEEE TRANSACTIONS ON SIGNAL PROCESSING

New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors

(2014) G. Li et al.   MATHEMATICAL PROGRAMMING

Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets

(2014) Jonathan M. Borwein et al.   SIAM JOURNAL ON OPTIMIZATION

Recent Results on Douglas–Rachford Methods for Combinatorial Optimization Problems

(2013) Francisco J. Aragón Artacho et al.   JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS

Nonconvex Notions of Regularity and Convergence of Fundamental Algorithms for Feasibility Problems

(2013) Robert Hesse et al.   SIAM JOURNAL ON OPTIMIZATION

Sparse Approximation via Penalty Decomposition Methods

(2013) Zhaosong Lu et al.   SIAM JOURNAL ON OPTIMIZATION

On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method

(2012) Bingsheng He et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Tensor completion and low-n-rank tensor recovery via convex optimization

(2011) Silvia Gandy et al.   INVERSE PROBLEMS

Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized Gauss–Seidel methods

(2011) Hedy Attouch et al.   MATHEMATICAL PROGRAMMING

Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality

(2010) Hédy Attouch et al.   MATHEMATICS OF OPERATIONS RESEARCH

Local Linear Convergence for Alternating and Averaged Nonconvex Projections

(2008) A. S. Lewis et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Alternating Projections on Manifolds

(2008) Adrian S. Lewis et al.   MATHEMATICS OF OPERATIONS RESEARCH

Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space

(2008) D. Russell Luke   SIAM JOURNAL ON OPTIMIZATION