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Perry-Shanno无记忆拟牛顿方法在非单调搜索下的收敛性
引用本文:于静静,焦宝聪.Perry-Shanno无记忆拟牛顿方法在非单调搜索下的收敛性[J].首都师范大学学报(自然科学版),2006,27(6):10-14.
作者姓名:于静静  焦宝聪
作者单位:1. 青岛海湾职业技术学院电气系,山东青岛,266500
2. 首都师范大学数学科学学院,北京,100037
摘    要:将Perry-Shanno无记忆拟牛顿方法与一类非单调搜索相结合,给出了一类求解无约束最优化问题的新算法.在目标函数为凸的条件下,证明了该算法的全局收敛性.

关 键 词:无记忆拟牛顿法  非单调线搜索  全局收敛性
收稿时间:2005-07-06
修稿时间:2005年7月6日

Convergence of Perry-Shanno's Memoryless Quasi-Newton Method with Nonmonotone Linesearch
Yu Jingjing,Jiao Baocong.Convergence of Perry-Shanno''''s Memoryless Quasi-Newton Method with Nonmonotone Linesearch[J].Journal of Capital Normal University(Natural Science Edition),2006,27(6):10-14.
Authors:Yu Jingjing  Jiao Baocong
Institution:Department of Electric, Qingdao Harbor Vodational Technical College;Department of Mathematics, Capital Normal University, Beijing
Abstract:In this paper,the Perry-Shanno's memoryless quasi-Newton method for unconstrained optimization is investigated.Nonmonotone Linesearch procedure is introduced,which is combined with Perry-Shanno's memoryless quasi-Newton method.Under the convexity assumption on objective function,the globle convergence of this method is proved.
Keywords:memoryless quasi-Newton method  nonmonotone linesearch  globle convergence    
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