| 基于目标流线的曲线方向寻优 |
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| 引用本文： | 隋允康,覃新川,王希诚.基于目标流线的曲线方向寻优[J].数学研究及应用,1991,11(2):285-289. |
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| 作者姓名： | 隋允康 覃新川 王希诚 |
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| 作者单位： | 大连理工大学工程力学研究所;大连理工大学工程力学研究所;大连理工大学工程力学研究所 |
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| 摘 要： | 本文对于无约束问题提出了沿曲线寻优的思想,推导了确定寻优曲线的常微分方程组。对该常微分方程组研制了近似解析和数值的实用算法.借助对偶规划,这一方法由无约束问题推广到约束问题.
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| 关 键 词： | 无约速优化 曲线寻优 常微分组 |
| 收稿时间： | 6/7/1989 12:00:00 AM |
An Optimization Method of Curve Direction Based on Stream-Line of Objective Function |
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| Sui Yunkang,Qin Xinchuan and Wang Xicheng.An Optimization Method of Curve Direction Based on Stream-Line of Objective Function[J].Journal of Mathematical Research with Applications,1991,11(2):285-289. |
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| Authors: | Sui Yunkang Qin Xinchuan and Wang Xicheng |
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| Institution: | Research Institute of Engineering Mehanics; Dalian University of Technology;Research Institute of Engineering Mehanics; Dalian University of Technology;Research Institute of Engineering Mehanics; Dalian University of Technology |
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| Abstract: | An idea of searching along curve lines for the optimum point of an uncon-strained problem is proposed and ordinary differential equations determining search curves are derived in this paper. Both approximately analytical and numerical so-lutions of the ordinary differential equations are developed to be used in practical algorithms . Then our method is extended from unconstrained problems to const-rained ones by means of dual programming. |
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