Variational analysis of circular cone programs

Jinchuan Zhou, Jein Shah Chen, Boris S. Mordukhovich

研究成果: 雜誌貢獻期刊論文同行評審

14 引文 斯高帕斯(Scopus)

摘要

This paper conducts variational analysis of circular programs, which form a new class of optimization problems in nonsymmetric conic programming, important for optimization theory and its applications. First, we derive explicit formulas in terms of the initial problem data to calculate various generalized derivatives/co-derivatives of the projection operator associated with the circular cone. Then we apply generalized differentiation and other tools of variational analysis to establish complete characterizations of full and tilt stability of locally optimal solutions to parameterized circular programs.

原文英語
頁(從 - 到)113-147
頁數35
期刊Optimization
64
發行號1
DOIs
出版狀態已發佈 - 2015 一月 2
對外發佈

ASJC Scopus subject areas

  • 控制和優化
  • 管理科學與經營研究
  • 應用數學

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