B-Subdifferentials of the Projection onto the Generalized Simplex
-
Published:2021-05-11
Issue:
Volume:
Page:2150020
-
ISSN:0217-5959
-
Container-title:Asia-Pacific Journal of Operational Research
-
language:en
-
Short-container-title:Asia Pac. J. Oper. Res.
Author:
Lin Youyicun1,
Hu Shenglong1
Affiliation:
1. Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China
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.
Funder
National Science Foundation of China
Natural Science Foundation of Zhejiang Province, China
Publisher
World Scientific Pub Co Pte Lt
Subject
Management Science and Operations Research,Management Science and Operations Research
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献