Local linear convergence of the alternating direction method of multipliers for nonconvex separable optimization problems

A survey on some recent developments of alternating direction method of multipliers ⋮ General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems ⋮ A generalized inertial proximal alternating linearized minimization method for nonconvex nonsmooth problems ⋮ An optimization method to solve a fully intuitionistic fuzzy non-linear separable programming problem ⋮ Unnamed Item

BADMM

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Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems
Sparse solutions to random standard quadratic optimization problems
New and old bounds for standard quadratic optimization: dominance, equivalence and incomparability
A dual algorithm for the solution of nonlinear variational problems via finite element approximation
Error bounds and convergence analysis of feasible descent methods: A general approach
A test for copositive matrices
Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
Global convergence of ADMM in nonconvex nonsmooth optimization
Quadratic-programming criteria for copositive matrices
Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
Splitting methods with variable metric for Kurdyka-Łojasiewicz functions and general convergence rates
On the convergence of the direct extension of ADMM for three-block separable convex minimization models with one strongly convex function
On the global and linear convergence of the generalized alternating direction method of multipliers
Linear Convergence of the Alternating Direction Method of Multipliers for a Class of Convex Optimization Problems
A Block Coordinate Descent Method for Regularized Multiconvex Optimization with Applications to Nonnegative Tensor Factorization and Completion
On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
Linear Convergence of Proximal Gradient Algorithm with Extrapolation for a Class of Nonconvex Nonsmooth Minimization Problems
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
Global Convergence of Splitting Methods for Nonconvex Composite Optimization
Error Bound and Convergence Analysis of Matrix Splitting Algorithms for the Affine Variational Inequality Problem
Continuous Characterizations of the Maximum Clique Problem
A Symmetric Alternating Direction Method of Multipliers for Separable Nonconvex Minimization Problems
Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints
Iteration-Complexity of Block-Decomposition Algorithms and the Alternating Direction Method of Multipliers
Local Linear Convergence of the Alternating Direction Method of Multipliers for Quadratic Programs
Local Linear Convergence of the Alternating Direction Method of Multipliers on Quadratic or Linear Programs