| 求一类多元多峰函数全局极小的区间斜率方法 |
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| 引用本文： | 申培萍,张可村. 求一类多元多峰函数全局极小的区间斜率方法[J]. 计算数学, 2003, 25(3): 333-346 |
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| 作者姓名： | 申培萍 张可村 |
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| 作者单位： | 1. 西安交通大学理学院,西安,710049;河南师范大学数学与信息科学学院,新乡,453002
2. 西安交通大学理学院,西安,710049 |
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| 基金项目： | 国家自然科学基金(69874010)，河南省高校青年骨干教师资助计划项目 |
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| 摘 要： | Based on the interval analysis, an interval slope method is proposed for finding all global minimizers of a several peaks function f on domain X^0包含于R^n, which is given by interval slope discard tests and interval extension of objective function.Numerical results of representative test functions show that this method is practical and effective.
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| 关 键 词： | 多峰函数 全局极小 区间斜率法 全局优化问题 区间扩展 |
| 修稿时间： | 2001-07-27 |
AN INTERVAL SLOPE METHOD FOR GLOBAL MINIMIZERS OF SEVERAL PEAKS FUNCTIONS OF SEVERAL VARIABLES |
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| Shen Peiping. AN INTERVAL SLOPE METHOD FOR GLOBAL MINIMIZERS OF SEVERAL PEAKS FUNCTIONS OF SEVERAL VARIABLES[J]. Mathematica Numerica Sinica, 2003, 25(3): 333-346 |
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| Authors: | Shen Peiping |
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| Affiliation: | Shen Peiping(Faculty of Science, Xi'an Jiaotong University, Xi'an, 710049; School of Mathematics and Information Science, Henan Normal University, Xinxiang, 453002)Zhang Kecun (Faculty of Science, Xi'an Jiaotong University, Xi'an, 710049) |
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| Abstract: | Based on the interval analysis, an interval slope method is proposed for finding all global minimizers of a several peaks function f on domain Xo Rn, which is given by interval slope discard tests and interval extension of objective function. Numerical results of representative test functions show that this method is practical and effective. |
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| Keywords: | global minimizer multivariate function interval slope. |
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