Two classes of merit functions for infinite-dimensional second order complimentary problems

Juhe Sun, Jein Shan Chen*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this article, we extend two classes of merit functions for the second-order complementarity problem (SOCP) to infinite-dimensional SOCP. These two classes of merit functions include several popular merit functions, which are used in nonlinear complementarity problem, (NCP)/(SDCP) semidefinite complementarity problem, and SOCP, as special cases. We give conditions under which the infinite-dimensional SOCP has a unique solution and show that all these merit functions provide an error bound for infinite-dimensional SOCP and have bounded level sets. These results are very useful for designing solution methods for infinite-dimensional SOCP.

原文英語
頁(從 - 到)387-413
頁數27
期刊Numerical Functional Analysis and Optimization
31
發行號4
DOIs
出版狀態已發佈 - 2010 四月

ASJC Scopus subject areas

  • 分析
  • 訊號處理
  • 電腦科學應用
  • 控制和優化

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