A decomposition method with redistributed subroutine for constrained nonconvex optimization
type: Item
instance of: scholarly article
title: A decomposition method with redistributed subroutine for constrained nonconvex optimization
zbMATH Open document ID: 1270.90050
DOI: 10.1155/2013/376403
author: Yuan Lu
author: Wei Wang
author: Li-Ping Pang
author: Dan Li
published in: Abstract and Applied Analysis
publication date: 2013-05-08T00:00:00Z
review text: Summary: A class of constrained nonsmooth nonconvex optimization problems, that is, piecewise \(C^2\) objectives with smooth inequality constraints are discussed in this paper. Based on the \(\mathcal{VU}\)-theory, a superlinear convergent \(\mathcal{VU}\)-algorithm, which uses a nonconvex redistributed proximal bundle subroutine, is designed to solve these optimization problems. An illustrative example is given to show how this convergent method works on a second-order cone programming problem.
Mathematics Subject Classification ID: 90C26
zbMATH DE Number: 6161327
zbMATH Keywords: piecewise \(C^2\) objectives
zbMATH Keywords: smooth inequality constraints
zbMATH Keywords: superlinear convergent \(\mathcal{VU}\)-algorithm
Wikidata QID: Q58916088
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/376403
OpenAlex ID: W2003277551
cites work: A superlinear space decomposition algorithm for constrained nonsmooth convex program
cites work: The 𝒰-Lagrangian of a convex function
cites work: Q4945775
cites work: Q4338510
cites work: On \(\mathcal{VU}\)-theory for functions with primal-dual gradient structure
cites work: Q4762521
cites work: Primal-Dual Gradient Structured Functions: Second-Order Results; Links to Epi-Derivatives and Partly Smooth Functions
cites work: A \(\mathcal{VU}\)-algorithm for convex minimization
cites work: A \(\mathcal{UV}\)-decomposed method for solving an MPEC problem
cites work: A decomposition algorithm for convex nondifferentiable minimization with errors
cites work: Identifying Structure of Nonsmooth Convex Functions by the Bundle Technique
cites work: A proximal method for identifying active manifolds
cites work: Functions and sets of smooth substructure: relationships and examples
cites work: Properties of the Moreau-Yosida regularization of a piecewise \(C^2\) convex function
cites work: Variational Analysis
cites work: 𝒱𝒰-smoothness and proximal point results for some nonconvex functions
cites work: Q4695311
cites work: Computing proximal points of nonconvex functions
cites work: A Redistributed Proximal Bundle Method for Nonconvex Optimization
description: scientific article; zbMATH DE number 6161327