期刊文献+

Filter方法在不等式约束优化问题中的应用

The Application of A Filter Method in Solving Inequality Constrained Optimization Problem
下载PDF
导出
摘要 用filter方法取代罚函数进行线性搜索,又利用序列线性方程组获得搜索方向,使得迭代点能够保证目标函数或约束函数充分下降,在一定假设条件下可以收敛到原问题的最优解。 A filter method has been developed which advoids using a penalty parameter to perform linear search. The search direction has been got by Sequential Systems of Linear Equations. The aim is allows a step to be accepted if it reduces either the objective function or the constraint violation function.It proved to be converged to a KKT point under mild conditions.
作者 郑雪莲
出处 《科技视界》 2015年第24期30-30,共1页 Science & Technology Vision
基金 山东工商学院青年科研基金(2013QN053)
关键词 序列线性方程组 罚函数 收敛性 Sequential Systems of Linear Equations Penalty function Convergence
  • 相关文献

参考文献4

  • 1R.Fletcher and S.Leyfer.Nonlinear programming without a penalty function[J].Technical Report NA/171,Department of Mathematics,University of Dundee,Scotland,to appear in Mathematical Programming,1997.
  • 2C.M.Chin.A local convergence theory of a filter line search method for nonlinear programming[J].Numerical Optimization Report,Department of Statistics,University of Oxford,England,2002.
  • 3L.T.Biegler and A.Wachter.Global and local convergence of line search filter methods for nonlinear programming[J].CAPD Technical Report B-01-09,Department of Chemical Engineering,Carnegie Mellon University,Pittsburgh,PA,2001.
  • 4高自友,贺国平,吴方.任意初始点下的序列线性方程组方法[J].中国科学(A辑),1997,27(1):24-33. 被引量:12

二级参考文献5

  • 1高自友,吴方,赖炎连.非线性最优化一个超线性收敛的序列方程组方法[J].科学通报,1994,39(9):774-777. 被引量:8
  • 2J. F. A. De O. Pantoja,D. Q. Mayne. Exact penalty function algorithm with simple updating of the penalty parameter[J] 1991,Journal of Optimization Theory and Applications(3):441~467
  • 3J. V. Burke,S-P. Han. A robust sequential quadratic programming method[J] 1989,Mathematical Programming(1-3):277~303
  • 4Masao Fukushima. A successive quadratic programming algorithm with global and superlinear convergence properties[J] 1986,Mathematical Programming(3):253~264
  • 5Shih-Ping Han. Superlinearly convergent variable metric algorithms for general nonlinear programming problems[J] 1976,Mathematical Programming(1):263~282

共引文献11

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