{"title":"B-Subdifferentials of the Projection onto the Generalized Simplex","authors":"Youyicun Lin, Shenglong Hu","doi":"10.1142/S0217595921500202","DOIUrl":null,"url":null,"abstract":"In this paper, a complete characterization of the B-subdifferential of the projection onto the generalized simplex is given. This work is accomplished with the help of Han–Sun Jacobian, whose full characterization is also given in this case. The characterizations are given with simple and explicit formulae in terms of the active index set of the projection.","PeriodicalId":8478,"journal":{"name":"Asia Pac. J. Oper. Res.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asia Pac. J. Oper. Res.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S0217595921500202","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, a complete characterization of the B-subdifferential of the projection onto the generalized simplex is given. This work is accomplished with the help of Han–Sun Jacobian, whose full characterization is also given in this case. The characterizations are given with simple and explicit formulae in terms of the active index set of the projection.
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