广义单纯形上投影的b -次微分

Asia Pac. J. Oper. Res. Pub Date : 2021-04-17 DOI:10.1142/S0217595921500202

Youyicun Lin, Shenglong Hu

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引用次数: 1

摘要

本文给出了广义单纯形上投影的b -子微分的一个完整刻划。这项工作是在汉-孙雅可比矩阵的帮助下完成的，在这种情况下也给出了雅可比矩阵的完整表征。利用投影的活动指标集给出了简单而明确的表征公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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B-Subdifferentials of the Projection onto the Generalized Simplex

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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Asia Pac. J. Oper. Res.

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