A globally and superlinearly convergent modified SQP-filter method

被引:0
作者
Ke Su
机构
[1] Tongji University,Department of Mathematics
[2] Hebei University,College of Mathematics and Computer
来源
Journal of Global Optimization | 2008年 / 41卷
关键词
Constrained optimization; KKT point; Sequential quadratic programming; Global convergence; Superlinear convergence;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we presented a modified SQP-filter method based on the modified quadratic subproblem proposed by Zhou (J. Global Optim. 11, 193–2005, 1997). In contrast with the SQP methods, each iteration this algorithm only needs to solve one quadratic programming subproblems and it is always feasible. Moreover, it has no demand on the initial point. With the filter technique, the algorithm shows good numerical results. Under some conditions, the globally and superlinearly convergent properties are given.
引用
收藏
页码:203 / 217
页数:14
相关论文
共 31 条
[1]  
Boggs P.T.(1982)On the local convergence of quasi-newton methods for constrained optimization. SIAM J Control Optim. 20 161-171
[2]  
Tolle J.W.(1992)Avoiding the Maratos effect by means of nonmontone linesearch, Inequality constrained problems-feasible iterates SIAM J. Numer. Anal. 29 1187-1202
[3]  
Wang P.(1989)A robust SQP method Math. Program. 43 277-303
[4]  
Bonnons J.F.(1995)Quadraticly and superlinearly convergent for the solution of inequality constrained optimization problem J. Optim. Theory Appl. 85 265-289
[5]  
Painer E.R.(2002)Nonlinear programming without a penalty function Math. Program. 91 239-269
[6]  
Titts A.L.(2002)On the global convergence of a filter-SQP algorithm SIAM J. Optim. 13 44-59
[7]  
Zhou J.L.(2002)Global convergence of a trust region SQP-filter algorithm for general nonlinear programming SIAM J. Optim. 13 635-660
[8]  
Burke J.V.(1976)Superlinearly convergence variable metric algorithm for general nonlinear programming problems Math. Program. 11 263-282
[9]  
Han S.P.(2006)A trust region filter mehtod for general nonlinear programming Appl. Math. Comput. 172 1000-1017
[10]  
Facchinei F.(2001)A modified SQP method with nonmonotone linesearch technique J. Global Optim. 21 201-218