B-Subdifferentials of the Projection onto the Generalized Simplex

Youyicun Lin () and Shenglong Hu
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Youyicun Lin: Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China
Shenglong Hu: Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2022, vol. 39, issue 02, 1-15

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.

Keywords: Generalized simplex; projection; B-subdifferential; Han–Sun Jacobian (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0217595921500202

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