| 曲线拟合的广义最小一乘法 |
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| 引用本文： | 顾乐民. 曲线拟合的广义最小一乘法[J]. 数学的实践与认识, 2011, 41(19) |
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| 作者姓名： | 顾乐民 |
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| 作者单位： | 上海同济大学材料科学与工程学院,上海,201804 |
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| 摘 要： | 介绍了最小一乘法的方程式解法;讨论了这种方程式解法与最小一乘逼近之间的关系;说明了它不仅适用于线性函数类也适用于非线性函数类的最佳逼近的实现;提出了零偏差点附近数据变化的两个重要特征;建立了一种具有"人为"因素的广义最小一乘法;并给出了该法在预测方面的几个应用实例.
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| 关 键 词： | 曲线拟合 最小一乘法 零偏差点 人为因素 |
The Least Absolute Value Method of Curve Fitting |
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| GU Le-min. The Least Absolute Value Method of Curve Fitting[J]. Mathematics in Practice and Theory, 2011, 41(19) |
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| Authors: | GU Le-min |
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| Affiliation: | GU Le-min (College of Materials Science and Engineering,Shanghai Tongji University,Shanghai 201804,China) |
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| Abstract: | In this paper,the formula solution of the Least Absolute Value method is introduced. The relationship between the formula solution and the Least Absolute Value's approximation are discussed.The realization of the best approximation that it is not only apply to linear functions also to nonlinear functions are explained.Two important characteristics of the data changes near the zero deviation point are put forward.A general Least Absolute Value method of human factors is established.Some examples of applicati... |
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| Keywords: | curve fitting least absolute value method zero deviation points human factors |
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