{"title":"A Smoothing Penalty Function Method for the Constrained Optimization Problem","authors":"Bingzhuang Liu","doi":"10.4236/ojop.2019.84010","DOIUrl":null,"url":null,"abstract":"In this paper, an approximate smoothing approach to the non-differentiable exact penalty function is proposed for the constrained optimization problem. A simple smoothed penalty algorithm is given, and its convergence is discussed. A practical algorithm to compute approximate optimal solution is given as well as computational experiments to demonstrate its efficiency.","PeriodicalId":66387,"journal":{"name":"最优化(英文)","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"最优化(英文)","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.4236/ojop.2019.84010","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In this paper, an approximate smoothing approach to the non-differentiable exact penalty function is proposed for the constrained optimization problem. A simple smoothed penalty algorithm is given, and its convergence is discussed. A practical algorithm to compute approximate optimal solution is given as well as computational experiments to demonstrate its efficiency.
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