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求全局极小的“塌方”方法
引用本文:石建川,李慎. 求全局极小的“塌方”方法[J]. 电子科技大学学报(社会科学版), 1995, 0(3)
作者姓名:石建川  李慎
作者单位:成都电子科技大学高能电子所
摘    要:
对求全局极小的方法进行了研究,构造出寻优算法,把寻找全局极小的过程分解为局部寻优过程和突破过程的反复。局部寻优过程可采用一般寻局部极小的任一种优化算法,突破过程通过引入广义实力势函数和寻优过程的结合而实现,实例计算结果表明算法有效可行。

关 键 词:局部极小  全局极小  多峰函数  寻优过程  势函数  势函数变换  广义势函数

A"Landslip"Method for Finding A Global Minimum of Multimodal Functions
Shi Jianchuan,Li Shen. A"Landslip"Method for Finding A Global Minimum of Multimodal Functions[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 1995, 0(3)
Authors:Shi Jianchuan  Li Shen
Abstract:
This paper studies one of the most important problems in nonlinear programing to find cutglobal minimum of a given objective function.In this paper,a new"landslip"method is proposed.The"landslip"method is composed of two algorithms.One is the local optopmization algorithm.The other isalgorithm which breaks through local minimum point.The global minimum point can be obtained by usingthetwo algorithms repeatedly.In former algorithm Broyden-Fletcher-Goldfarb-Shanno(BFGS)orDavidon-Fletcher-Powell(DPF)method can be used.In later algorithm,the general potential function (notobjective function-potentail function)is minimized,The Results obtained imply the"landslip"method iseffective and stable.
Keywords:lacl miminm  globa minmum  multimodal function  minimization program  potential function  potential function transformation  general potential function
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