| 对分法在多元优化问题中的推广应用 |
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| 引用本文： | 史文谱,刘迎曦,李守巨,褚京莲. 对分法在多元优化问题中的推广应用[J]. 兰州理工大学学报, 2004, 30(2): 116-118 |
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| 作者姓名： | 史文谱 刘迎曦 李守巨 褚京莲 |
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| 作者单位： | 烟台大学,机电学院,山东,烟台,264005;大连理工大学,工程力学系,辽宁,大连,116023 |
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| 基金项目： | 国家自然科学基金(10072014)，高校博士点专项基金(200001707) |
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| 摘 要： | 将一维优化方法中的对分法推广应用于无约束多元优化问题的寻优求解中,基于对分法求解的优化问题必须具有有限边界搜索区域的考虑,讨论了问题初始搜索域的确定方法;并进一步给出了对分法推广应用的算法实施过程.最后通过算例与目前现有的几种确定性求导寻优法进行了比较.
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| 关 键 词： | 对分法 无约束多元优化问题 初始搜索域 求导寻优法 算法实施过程 |
| 文章编号： | 1000-5889(2004)02-0116-03 |
| 修稿时间： | 2003-05-28 |
Application of half-division method in solving multivariate optimization |
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| SHI Wen-pu,LIU Ying-xi,LI Shou-ju,CHU Jing-lian. Application of half-division method in solving multivariate optimization[J]. Journal of Lanzhou University of Technology, 2004, 30(2): 116-118 |
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| Authors: | SHI Wen-pu LIU Ying-xi LI Shou-ju CHU Jing-lian |
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| Affiliation: | SHI Wen-pu~1,LIU Ying-xi~2,LI Shou-ju~2,CHU Jing-lian~1 |
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| Abstract: | The half-division method for one-dimensional optimization is applied in the problems of unconstrained multivariate optimization. Considering the applicational limitation of the half-division method that there is to be a limited boundary searching area in such problems, a method of determination of initial searching region in these problems is discussed and, further, the implementation of an algorithm applying the half-division method is given. Finally, the method presented in this paper is compared to some methods available for optimization with definite derivation by means of an illustration. |
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| Keywords: | half-division method unconstrained multivariate optimization initial searching region derivation optimization algorithm implementation |
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