Simplicial algorithm to solve the nonlinear complementarity problem on Sn×R+m

M. W. Hofkes*

*Corresponding author for this work

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In this paper, a simplicial algorithm is developed to solve the nonlinear complementarity problem on Sn×R+m. Furthermore, a condition for convergence is formulated. The triangulation which underlies the algorithm is a combination of the V-triangulation of Sn and the K-triangulation of R+m. Therefore, we will call it the VK-triangulation.

Original languageEnglish
Pages (from-to)551-565
Number of pages15
JournalJournal of Optimization Theory and Applications
Issue number3
Publication statusPublished - Dec 1990



  • convergence
  • nonlinear complementarity problem
  • Simplicial algorithm
  • triangulation

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