Stationary point conditions for the FB merit function associated with symmetric cones

研究成果: 雜誌貢獻文章

6 引文 (Scopus)

摘要

For the symmetric cone complementarity problem, we show that each stationary point of the unconstrained minimization reformulation based on the FischerBurmeister merit function is a solution to the problem, provided that the gradient operators of the mappings involved in the problem satisfy column monotonicity or have the Cartesian P0-property. These results answer the open question proposed in the article that appeared in Journal of Mathematical Analysis and Applications 355 (2009) 195215.

原文英語
頁(從 - 到)372-377
頁數6
期刊Operations Research Letters
38
發行號5
DOIs
出版狀態已發佈 - 2010 九月 1

指紋

Symmetric Cone
Merit Function
Stationary point
Cones
Unconstrained Minimization
Complementarity Problem
Reformulation
Mathematical Analysis
Cartesian
Monotonicity
Gradient
Operator
Mathematical analysis
Complementarity

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

引用此文

Stationary point conditions for the FB merit function associated with symmetric cones. / Pan, Shaohua; Chang, Yu-Lin; Chen, Jein-Shan.

於: Operations Research Letters, 卷 38, 編號 5, 01.09.2010, p. 372-377.

研究成果: 雜誌貢獻文章

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