期刊文献+

求解非线性P_0互补问题的填充函数法 被引量:1

A filled function method for nonlinear P_0 complementarity problems
下载PDF
导出
摘要 首先利用光滑Fischer-Burmeister函数,将非线性P_0互补问题转化成相应的约束优化问题;然后对此约束优化问题构造出一种新的无参数的填充函数,讨论了该填充函数的有关性质,并提出了求解非线性P0互补问题的填充函数算法。通过几个数值算例验证了该算法的有效性。 Firstly,the nonlinear P0 complementarity problem is converted into a corresponding constrained optimization problem by using the smoothing Fischer-Burmeister function.Subsequently,a novel parameter-free filled function is constructed for the constrained optimization problem,and the function's properties are also discussed.A filled function algorithm is proposed to solve the nonlinear P_0 complementarity problem,and its validity is verified by several numerical examples.
出处 《武汉科技大学学报》 CAS 北大核心 2016年第3期236-240,共5页 Journal of Wuhan University of Science and Technology
基金 国家自然科学基金青年科学基金项目(11401450 11401126) 国家自然科学基金面上项目(51275366)
关键词 非线性互补问题 P0函数 FISCHER-BURMEISTER函数 填充函数 局部极小点 全局极小点 nonlinear complementarity problem P0 function Fischer-Burmeister function filled function local minimizer global minimizer
  • 相关文献

参考文献11

  • 1HuangN,MaCF.ThenumericalstudyofaregularizedsmoothingNewton methodforsolvingP0-NCPbasedonthegeneralizedsmoothingFischer-Burmeisterfunction[J].Applied MathematicsandComputation,2012,218:7253-7269.
  • 2ZhangLP,WuS-Y,GaoTR.ImprovedsmoothingNewtonmethodsforP0nonlinearcomplementarityproblems[J].AppliedMathematicsandComputation,2009,215:324-332.
  • 3ZhuJG,LiuH W,LiXL.Aregularizedsmoothing-typealgorithmforsolvingasystemofinequalitieswithaP0-function[J].JournalofComputationalandApplied Mathematics,2010,233:2611-2619.
  • 4YangYJ,ShangYL.Anewfilledfunctionmeth-odforunconstrainedglobaloptimization[J].AppliedMathematicsand Computation,2006,173:501-512.
  • 5GeRP.Afilledfunctionmethodforfindingaglobalminimizerofafunctionofseveralvariables[J].MathematicalProgramming,1990,46:191-204.
  • 6YuanL Y,WanZP,ZhangJJ,etal.Afilledfunctionmethodforsolvingnonlinearcomplementarityproblem[J].JournalofIndustrialand ManagementOptimization,2009,5(4):911-928.
  • 7ZhangLS,NgC-K,LiD,etal.Anewfilledfunctionmethodforglobaloptimization[J].JournalofGlobalOptimization,2004,28:17-43.
  • 8XuZ,Huang H-X,PardalosP M,etal.Filledfunctionsforunconstrainedglobaloptimization[J].JournalofGlobalOptimization,2001,20:49-65.
  • 9LiuH W,GaoYL,WangYP.Acontinuouslydifferentiablefilledfunctionmethodforglobaloptimization[J].NumericalAlgorithms,2014,66:511-523.
  • 10WeiF,WangYP,LinH W.Anewfilledfunctionmethodwithtwoparametersforglobaloptimization[J].JournalofOptimizationTheoryandApplications,2014,163:510-527.

同被引文献7

引证文献1

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部