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结合非线性互补问题函数的滤子逐次二次规划算法
引用本文:金中,濮定国,张宇,蔡力.结合非线性互补问题函数的滤子逐次二次规划算法[J].上海大学学报(英文版),2008,12(2):97-101.
作者姓名:金中  濮定国  张宇  蔡力
作者单位:JIN Zhong(Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China)  PU Ding-guo(Department of Mathematics,Tongji University,Shanghai 200092,P.R.China)  ZHANG Yu(Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China)  CAI Li(Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China)
摘    要:

关 键 词:nonlinear  complementarity  problem(NCP)function  filter  sequence  of  quadratic  programming(SQP)  global  convergence.  结合  线性互补问题  函数  滤子  二次规划算法  NCP  function  complementarity  problem  nonlinear  optimization  problem  prove  superlinear  convergence  rates  mild  conditions  instead  penalty  parameter  adjustment  methods  characterized  dominance  concept
收稿时间:2006-07-18
修稿时间:2006年7月18日

Filter-sequence of quadratic programming method with nonlinear complementarity problem function
Zhong Jin,Ding-guo Pu,Yu Zhang,Li Cai.Filter-sequence of quadratic programming method with nonlinear complementarity problem function[J].Journal of Shanghai University(English Edition),2008,12(2):97-101.
Authors:Zhong Jin  Ding-guo Pu  Yu Zhang  Li Cai
Institution:1. Department of Mathematics,College of Sciences,Shanghai University,Shanghai 200444,P.R.China
2. Department of Mathematics,Tongji University,Shanghai 200092,P.R.China
Abstract:A mechanism for proving global convergence in filter-SQP(sequence of quadratic programming)method with the nonlinear complementarity problem(NCP)function is described for constrained nonlinear optimization problem.We introduce an NCP function into the filter and construct a new SQP-filter algorithm.Such methods are characterized by their use of the dominance concept of multi-objective optimization,instead of a penalty parameter whose adjustment can be problematic.We prove that the algorithm has global convergence and superlinear convergence rates under some mild conditions.
Keywords:nonlinear complementarity problem(NCP)function  filter  sequence of quadratic programming(SQP)  global convergence  
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