scientific article; zbMATH DE number 7828130

DOI10.12386/a20210081MaRDI QIDQ6203708

Pengjie Liu, Jin-Bao Jian, JiaWei Xu, Guodong Ma

Publication date: 8 April 2024

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergence rateKurdyka-Łojasiewicz propertynonconvex nonseparable optimizationlinear approximate techniquePaceman-Rachford splitting method

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30)

Cites Work

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• On the convergence properties of a majorized alternating direction method of multipliers for linearly constrained convex optimization problems with coupled objective functions
• Proximal alternating linearized minimization for nonconvex and nonsmooth problems
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• First-order algorithms for convex optimization with nonseparable objective and coupled constraints
• Extended ADMM and BCD for nonseparable convex minimization models with quadratic coupling terms: convergence analysis and insights
• Structured nonconvex and nonsmooth optimization: algorithms and iteration complexity analysis
• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
• The convergence rate analysis of the symmetric ADMM for the nonconvex separable optimization problems
• Local linear convergence of the alternating direction method of multipliers for nonconvex separable optimization problems
• Convergence study on strictly contractive peaceman-Rachford splitting method for nonseparable convex minimization models with quadratic coupling terms
• An ADMM-based SQP method for separably smooth nonconvex optimization
• An inertial Bregman generalized alternating direction method of multipliers for nonconvex optimization
• A Gauss-Seidel type inertial proximal alternating linearized minimization for a class of nonconvex optimization problems
• A proximal alternating direction method for multi-block coupled convex optimization
• Inertial proximal alternating minimization for nonconvex and nonsmooth problems
• General inertial proximal gradient method for a class of nonconvex nonsmooth optimization problems
• Convergence of linear Bregman ADMM for nonconvex and nonsmooth problems with nonseparable structure
• Convergence Analysis of Alternating Direction Method of Multipliers for a Family of Nonconvex Problems
• Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
• Inertial Proximal Alternating Linearized Minimization (iPALM) for Nonconvex and Nonsmooth Problems
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Global Convergence of Splitting Methods for Nonconvex Composite Optimization
• A proximal block minimization method of multipliers with a substitution procedure
• A Symmetric Alternating Direction Method of Multipliers for Separable Nonconvex Minimization Problems
• Hybrid Jacobian and Gauss--Seidel Proximal Block Coordinate Update Methods for Linearly Constrained Convex Programming
• Convergence of alternating direction method for minimizing sum of two nonconvex functions with linear constraints
• Convergence of the Peaceman-Rachford Splitting Method for a Class of Nonconvex Programs
• An inertial proximal alternating direction method of multipliers for nonconvex optimization
• Comments on «Wavelets in statistics: A review» by A. Antoniadis
• Group variable selection via SCAD-L₂

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