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 |
基于目标流线的曲线方向寻优 |
An Optimization Method of Curve Direction Based on Stream-Line of Objective Function |
投稿时间:1989-06-07 |
DOI:10.3770/j.issn:1000-341X.1991.02.030 |
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中文摘要: |
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. |
英文摘要: |
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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