A log-exponential smoothing method for mathematical programs with complementarity constraints
type: Item
instance of: scholarly article
title: A log-exponential smoothing method for mathematical programs with complementarity constraints
zbMATH Open document ID: 1248.65065
author: Tao Tan
author: Yanyan Li
author: Xingsi Li
published in: Applied Mathematics and Computation
publication date: 2012-07-16T00:00:00Z
review text: The authors consider the smoothing method that transforms the complementarity constraints of a mathematical program (MPCC) into a system of smoothing equations by some type of smoothing functions. A log-exponential smoothing method for MPCC is presented. The convergence and stability for the smoothing method are established. Several types of smoothing functions are compared from the aspect of the convergence conditions.
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 6056794
zbMATH Keywords: mathematical programs with complementarity constraints
zbMATH Keywords: optimality condition
zbMATH Keywords: asymptotically weak nondegenerate
zbMATH Keywords: upper level strict complementarity
zbMATH Keywords: smoothing equations
zbMATH Keywords: log-exponential smoothing method
zbMATH Keywords: convergence
zbMATH Keywords: stability
MaRDI profile type: Publication
full work available at URL: j.amc.2011.11.046
OpenAlex ID: W2081520455
cites work: Q4945771
cites work: A smoothing method for mathematical programs with equilibrium constraints
cites work: Smooth SQP Methods for Mathematical Programs with Nonlinear Complementarity Constraints
cites work: A Sequential Smooth Penalization Approach to Mathematical Programs with Complementarity Constraints
cites work: A globally convergent sequential quadratic programming algorithm for mathematical programs with linear complementarity constraints
cites work: Convergence properties of a regularization scheme for mathematical programs with complementarity constraints
cites work: On the convergence of general regularization and smoothing schemes for mathematical programs with complementarity constraints
cites work: Complementarity constraint qualifications and simplified \(B\)-stationary conditions for mathematical programs with equilibrium constraints
cites work: Mathematical programs with complementarity constraints: stationarity, optimality, and sensi\-tivity.
cites work: An efficient approach to a class of non-smooth optimization problems
cites work: On the continuity of the minimum set of a continuous function
DOI: 10.1016/J.AMC.2011.11.046
reviewed by: Hang Lau
description: scientific article; zbMATH DE number 6056794