Nonconvex Lagrangian-Based Optimization: Monitoring Schemes and Global Convergence-Reference-Cited by-同舟云学术

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Nonconvex Lagrangian-Based Optimization: Monitoring Schemes and Global Convergence

Published:2018-11 Issue:4 Volume:43 Page:1210-1232
ISSN:0364-765X
Container-title:Mathematics of Operations Research
language:en
Short-container-title:Mathematics of OR

Author:

Bolte Jérôme¹,Sabach Shoham²,Teboulle Marc³^ORCID

Affiliation:

1. Toulouse School of Economics, Université Toulouse Capitole, 31015 Toulouse, France

2. Faculty of Industrial Engineering and Management, Technion—Israel Institute of Technology, Haifa 3200003, Israel

3. School of Mathematical Sciences, Tel-Aviv University, Ramat-Aviv 69978, Israel

Publisher

Institute for Operations Research and the Management Sciences (INFORMS)

Subject

Management Science and Operations Research,Computer Science Applications,General Mathematics

Reference32 articles.

1. On the convergence of the proximal algorithm for nonsmooth functions involving analytic features

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

3. An Exact Penalty Method for Nonconvex Problems Covering, in Particular, Nonlinear Programming, Semidefinite Programming, and Second-Order Cone Programming

4. Sparsity Constrained Nonlinear Optimization: Optimality Conditions and Algorithms

5. On the Minimization Over Sparse Symmetric Sets: Projections, Optimality Conditions, and Algorithms

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1. An inertial ADMM for a class of nonconvex composite optimization with nonlinear coupling constraints;Journal of Global Optimization;2024-03-19

2. Alternating and Parallel Proximal Gradient Methods for Nonsmooth, Nonconvex Minimax: A Unified Convergence Analysis;Mathematics of Operations Research;2024-02-08

3. Zero-One Composite Optimization: Lyapunov Exact Penalty and a Globally Convergent Inexact Augmented Lagrangian Method;Mathematics of Operations Research;2023-12-22

4. The backtrack Hölder gradient method with application to min-max and min-min problems;Open Journal of Mathematical Optimization;2023-12-21

5. An augmented Lagrangian method for nonconvex composite optimization problems with nonlinear constraints;Optimization and Engineering;2023-11-18

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