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改进的无约束优化问题的过滤算法
引用本文:段凤奇,王川龙.改进的无约束优化问题的过滤算法[J].太原师范学院学报(自然科学版),2011,10(1):28-31.
作者姓名:段凤奇  王川龙
作者单位:太原理工大学数学系,山西太原,030024
基金项目:山西省自然科学基金资助(20051009)
摘    要:信赖域算法加入过滤技术可以加大试验点x+,被接受的几率.文章去除了信赖域子问题凸性的判断,同时对于信赖域半径采用自适应的选取办法,使信赖域半径与gk和Bk密切相关,以求对于信赖域算法的改进.

关 键 词:无约束  滤子  信赖域  自适应

A Improved Filter Method For Unconstrained Optimization
Duan Fengqi,Wang Chuanlong.A Improved Filter Method For Unconstrained Optimization[J].Journal of Taiyuan Normal University:Natural Science Edition,2011,10(1):28-31.
Authors:Duan Fengqi  Wang Chuanlong
Institution:Duan Fengqi Wang Chuanlong(Department of Mathematics,Taiyuan University of Technology,Taiyuan 030024,China)
Abstract:Trust-region methods join filter technology can increase the possibility of trial point x+k accepted.We leave out the judgement of the convexity of the trust-region subproblem,meanwhile use adaptive selection method,and make trust region radius closely related with gk and Bk in order to improve the traditional trust region algorithm.
Keywords:unconstrained optimization  filter  trust-region methods  self-adapting  
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