A penalty function method based on smoothing lower order penalty function
type: Item
instance of: scholarly article
title: A penalty function method based on smoothing lower order penalty function
zbMATH Open document ID: 1221.65150
author: Zhiqing Meng
author: Jianwu Sun
author: R. Shen
author: Xinsheng Xu
published in: Journal of Computational and Applied Mathematics
publication date: 2011-06-28T00:00:00Z
review text: The authors consider the following constrained optimization problem: \[ \min_x f(x)\text{ s.t. }g_i(x)\leq 0,\quad i= 1,2,\dots, m. \] For this problem, the authors introduce a penalty function method based on smoothing lower order penalty function. Some numerical examples are presented.
reviewed by: Hans Benker
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 90C35
zbMATH DE Number: 5914071
zbMATH Keywords: constrained optimization
zbMATH Keywords: penalty function
zbMATH Keywords: smoothing technique
MaRDI profile type: Publication
full work available at URL: j.cam.2011.02.031
OpenAlex ID: W1980629276
cites work: Non-Linear Programming Via Penalty Functions
cites work: Exact penalty functions in nonlinear programming
cites work: Duality and exact penalization for vector optimization via augmented Lagrangian
cites work: Extended Lagrange And Penalty Functions in Continuous Optimization*
cites work: Decreasing Functions with Applications to Penalization
cites work: A nonlinear Lagrangian approach to constrained optimization problems
cites work: Q4163968
cites work: On Smoothing Exact Penalty Functions for Convex Constrained Optimization
cites work: Smoothing methods for convex inequalities and linear complementarity problems
cites work: Smoothing Nonlinear Penalty Functions for Constrained Optimization Problems
cites work: On the smoothing of the square-root exact penalty function for inequality constrained optimization
cites work: On smoothing exact penalty functions for nonlinear constrained optimization problems
cites work: An exact lower order penalty function and its smoothing in nonlinear programming
cites work: A robust SQP method based on a smoothing lower order penalty function†
DOI: 10.1016/J.CAM.2011.02.031
description: scientific article; zbMATH DE number 5914071