The vector-valued functions associated with circular cones

Jinchuan Zhou, Jein-Shan Chen

研究成果: 雜誌貢獻期刊論文同行評審

7 引文 斯高帕斯(Scopus)

摘要

The circular cone is a pointed closed convex cone having hyperspherical sections orthogonal to its axis of revolution about which the cone is invariant to rotation, which includes second-order cone as a special case when the rotation angle is 45 degrees. Let Lθ denote the circular cone in Rn. For a function f from R to R, one can define a corresponding vector-valued function fLθ on Rn by applying f to the spectral values of the spectral decomposition of x Rn with respect to Lθ. In this paper, we study properties that this vector-valued function inherits from f, including Hölder continuity, B-subdifferentiability, ρ-order semismoothness, and positive homogeneity. These results will play crucial role in designing solution methods for optimization problem involved in circular cone constraints.

原文英語
文章編號603542
期刊Abstract and Applied Analysis
2014
DOIs
出版狀態已發佈 - 2014

ASJC Scopus subject areas

  • 分析
  • 應用數學

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