The \(\mathcal{UV}\)-decomposition on a class of d.c. functions and optimality conditions
type: Item
instance of: scholarly article
title: The \(\mathcal{UV}\)-decomposition on a class of d.c. functions and optimality conditions
zbMATH Open document ID: 1119.90052
author: Wei Wang
author: Zun-Quan Xia
author: Li-Ping Pang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 2007-03-20T00:00:00Z
review text: From the point of view of optimization, the first and second order expansions are mainly used for studying some optimality conditions and constructing algorithms. In this paper, the authors use \(\mathcal{U}\mathcal{V}\)-theory and \(\text{P}\)-differential calculus to study second order expansion of a class of D.C. functions and minimization problems. A \(\mathcal{U}\)-Lagrangian of this function is presented and some properties are given. The authors also present some necessary optimality conditions for a class of constrained D.C. minimization with linear constraints.
reviewed by: Samir Kumar Neogy
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C25
zbMATH DE Number: 5134773
zbMATH Keywords: Nonlinear programming
zbMATH Keywords: D.C. functions
zbMATH Keywords: \(\mathcal{U}\)-Lagrangian
zbMATH Keywords: nonsmooth optimization
MaRDI profile type: Publication
full work available at URL: s10255-006-0346-z
OpenAlex ID: W351715460
cites work: Q4375488
cites work: Q4762480
cites work: The 𝒰-Lagrangian of a convex function
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cites work: Practical Aspects of the Moreau--Yosida Regularization: Theoretical Preliminaries
cites work: Extremal properties of the difference between convex functions
cites work: Convex Analysis
cites work: Q4936843
DOI: 10.1007/S10255-006-0346-Z
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description: scientific article; zbMATH DE number 5134773