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| 用于全局优化的一种新辅助函数及其性质 | |
| 引用本文： | 张玉芬,张群峰,王永军,郭占欣.用于全局优化的一种新辅助函数及其性质[J].河北大学学报(自然科学版),2011,31(1):7-11. |
| 作者姓名： | 张玉芬 张群峰 王永军 郭占欣 |
| 作者单位： | 1. 河北大学,数学与计算机学院,河北,保定,071002 2. 东方地球物理公司研究院,数据处理中心,河北,涿州,072751 3. 河北大学,新闻中心,河北,保定,071002 |
| 基金项目： | 河北省社会科学基金，国家自然科学基金 |
| 摘 要： | 从填充函数法的思想出发,基于启发式想法,提出了一种基于两阶段变换目标函数,进而用于全局优化的新辅助函数法,对新辅助函数的性质和其中的参数进行了理论分析.数值实验表明,与其他辅助函数优化方法相比,新方法放松了对参数的约束,收敛速度更快,解的精度更高. |
| 关 键 词： | 全局优化 新辅助函数 填充函数 |
A Novel Auxiliary Function and Its Properties for Global Optimization |
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| ZHANG Yu-fen,ZHANG Qun-feng,WANG Yong-jun,GUO Zhan-xin.A Novel Auxiliary Function and Its Properties for Global Optimization[J].Journal of Hebei University (Natural Science Edition),2011,31(1):7-11. | |
| Authors: | ZHANG Yu-fen ZHANG Qun-feng WANG Yong-jun GUO Zhan-xin |
| Institution: | 1.College of Mathematics and Computer Science,Hebei University,Baoding 071002,China; 2.Date Processing Center Bureau,Geophysical Prospecting Ceophysical Research Institute, Zhuozhou 072751,China;3.Media Center,Hebei University,Baoding 071002,China) |
| Abstract: | Starting from the thought of filled function and basing on the heuristic idea,a kind of objective functions based on two-phase transformation is proposed.Furthermore,a novel auxiliary function for global optimization is put forward.The properties and the parameters of the presented function are analyzed theoretically.In comparison with the other optimization methods for auxiliary function,the proposed approach relaxes the constraint for parameters.Moreover,numerical experiments show that proposed method can achieve faster convergence speed and higher accuracy of the solutions. |
| Keywords: | global optimization novel auxiliary function filled function |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |