| Fabonacci法应用于曲线拟合优化新算法 |
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| 引用本文： | 汪岚,金福江. Fabonacci法应用于曲线拟合优化新算法[J]. 华侨大学学报(自然科学版), 2006, 27(3): 313-316 |
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| 作者姓名： | 汪岚 金福江 |
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| 作者单位： | 华侨大学信息科学与工程学院,福建,泉州,362021;华侨大学信息科学与工程学院,福建,泉州,362021 |
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| 摘 要： | 由最小二乘法得到的曲线拟合的效果是较好的,但却不一定是最优的.文中提出将最小二乘法与Fa-bonacci法结合,得到一种曲线拟合的新优化算法.该算法的思路是在最小二乘法的基础之上,结合Fabonacci法优化已得到的拟合曲线的方程系数,使其更加合理化,从而获得最佳拟合曲线.该方法适用优化区间为单峰函数的任何数据,实例表明方法是切实可行的.
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| 关 键 词： | 曲线拟合 最小二乘法 Fabonacci优化法 Matlab |
| 文章编号： | 1000-5013（2006）03-0313-04 |
| 收稿时间： | 2005-12-03 |
| 修稿时间： | 2005-12-03 |
Research and Application of Optimum Curve-Fitting Method Based on Fabonacci Algorithm |
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| Wang Lan,Jin Fujiang. Research and Application of Optimum Curve-Fitting Method Based on Fabonacci Algorithm[J]. Journal of Huaqiao University(Natural Science), 2006, 27(3): 313-316 |
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| Authors: | Wang Lan Jin Fujiang |
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| Affiliation: | College of Information Science and Engineering, Huaqiao University, 362021, Quanzhou, China |
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| Abstract: | According to classic experiment,using the least-square,law,better fitting-curve can be obtained,but it isn't optimum.A new algorithm based on least-square law combined with Fabonacci optimum was proposed.To optimize the constant of imitative equation,it shows that this algorithm becomes more reasonable.Using this new algorithm,optimum fitting-curve can be obtained.This algorithm can be applied to all data of single-peak function and its applications are introduced.The feasibility and validity of this new algorithm have been verified by real examples. |
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| Keywords: | curve-fitting least-square law Fabonacci algorithm matlab |
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