The H-differentiability and calmness of circular cone functions

Jinchuan Zhou, Yu Lin Chang, Jein Shan Chen*


研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)


Let (Formula presented.) be the circular cone in (Formula presented.) which includes second-order cone as a special case. For any function f from (Formula presented.), one can define a corresponding vector-valued function (Formula presented.) on v by applying f to the spectral values of the spectral decomposition of (Formula presented.) with respect to (Formula presented.). The main results of this paper are regarding the H-differentiability and calmness of circular cone function (Formula presented.). Specifically, we investigate the relations of H-differentiability and calmness between f and (Formula presented.). In addition, we propose a merit function approach for solving the circular cone complementarity problems under H-differentiability. These results are crucial to subsequent study regarding various analysis towards optimizations associated with circular cone.

頁(從 - 到)811-833
期刊Journal of Global Optimization
出版狀態已發佈 - 2015 12月 1

ASJC Scopus subject areas

  • 電腦科學應用
  • 管理科學與經營研究
  • 控制和優化
  • 應用數學


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