| 基于Gauss-Newton法的L1数据拟合 |
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| 引用本文： | 田社平,颜德田,丁国清.基于Gauss-Newton法的L1数据拟合[J].航空计测技术,2000,20(5):11-12,26. |
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| 作者姓名： | 田社平 颜德田 丁国清 |
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| 作者单位： | 上海交通大学精密工程及智能微系统研究所,上海 |
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| 摘 要： | 在数据拟合中，当个别数据存在较大测量误差时，采用Ｌ１准则对数据进行拟合要优于最小二乘准则。本文通过建立Ｌ１准则与最小二乘准则之间的关系，给出了一种基于Ｇａｕｓｓ－Ｎｅｗｔｏｎ法的Ｌ１数据拟合自满。计算结果表明，该方法易于理解，便于编程，具有一定的理论意义和现实意义。
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| 关 键 词： | L1数据拟合 Gauss－Newton法 测量 数据处理 |
L1 Data Fitting Based on Gauss-Newton Method |
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| Tian Sheping,Yan Detian,Ding Guoqing.L1 Data Fitting Based on Gauss-Newton Method[J].Aviation Metrology & Measurement Technology,2000,20(5):11-12,26. |
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| Authors: | Tian Sheping Yan Detian Ding Guoqing |
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| Abstract: | It is a good choose to apply L\-1 Criterion other than least square criterion in data fitting when one or two large errors exist in the measuring data.This paper introduces a new algorithm for L\-1 data fitting based on Gauss\|Newton method through establishing the connection between L\-1 Criterion and least square criterion.Experimental results show that the method can be realised easily. |
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| Keywords: | L\-1 Data fitting Gauss\|Newton method Measurement |
| 本文献已被 CNKI 维普 等数据库收录！ |
