Operations Research Transactions ›› 2015, Vol. 19 ›› Issue (3): 96-107.doi: 10.15960/j.cnki.issn.1007-6093.2015.03.012

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 A pattern search filter method for linearly equality-constrained optimization problems

CHEN Ning1, SUN Wenyu1,*, YUAN Jinyun2   

  1. 1. School of Mathematical Sciences, Jiangsu Key Laboratory for NSLSCS, Nanjing Normal University, Nanjing 210023, China; 2. Department of Mathematics, The Federal University of Parana (UFPR), CEP 81531-990, Curitiba, Parana, Brazil
  • Received:2015-05-20 Online:2015-09-15 Published:2015-09-15
  • Contact: 孙文瑜 wysun@njnu.edu.cn

Abstract:

In this paper a pattern search filter algorithm for linearly equality-constrained derivative-free optimization is proposed. In this work we embed a filter technique in a derivative-free optimization algorithm which improves the efficiency of algorithms. The global convergence of new algorithm is established. Initial numerical results show that the new algorithm is efficient.

Key words: derivative-free optimization, pattern searchalgorithm, filter technique, constrained optimization, globalconvergence