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

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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.

Original languageEnglish
Pages (from-to)372-377
Number of pages6
JournalOperations Research Letters
Issue number5
Publication statusPublished - 2010 Sep 1



  • FischerBurmeister merit function
  • Stationary points
  • Symmetric cones

ASJC Scopus subject areas

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

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