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首页> 外文期刊>Mathematical Problems in Engineering >Sequential Quadratic Programming Method for Nonlinear Least Squares Estimation and Its Application
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Sequential Quadratic Programming Method for Nonlinear Least Squares Estimation and Its Application

机译：用于非线性最小二乘估计的顺序二次编程方法及其应用

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摘要

In this study, we propose a direction-controlled nonlinear least squares estimation model that combines the penalty function and sequential quadratic programming. The least squares model is transformed into a sequential quadratic programming model, allowing for the iteration direction to be controlled. An ill-conditioned matrix is processed by our model; the least squares estimate, the ridge estimate, and the results are compared based on a combination of qualitative and quantitative analyses. For comparison, we use two equality indicators: estimated residual fluctuation of different methods and the deviation between estimated and true values. The root-mean-squared error and standard deviation are used for quantitative analysis. The results demonstrate that our proposed model has a smaller error than other methods. Our proposed model is thereby found to be effective and has high precision. It can obtain more precise results compared with other classical unwrapping algorithms, as shown by unwrapping using both simulated and real data from the Jining area in China.
机译：在本研究中，我们提出了一种方向控制的非线性最小二乘估计模型，其结合了惩罚功能和顺序二次编程。最小二乘模型被转换为顺序二次编程模型，允许控制迭代方向。我们的模型处理了一个不良条件的矩阵;基于定性和定量分析的组合比较了最小二乘估计，脊估计和结果。为了比较，我们使用两个平等指标：估计不同方法的残余波动和估计和真值之间的偏差。根性平衡误差和标准偏差用于定量分析。结果表明，我们所提出的模型具有比其他方法更小的误差。我们所提出的模型将被发现有效并且精度高。与其他经典展开算法相比，可以获得更精确的结果，如通过从中国济宁地区的模拟和实际数据展开。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第13期|3087949.1-3087949.8|共8页
  • 作者

    Fu Zhengqing; Liu Goulin; Guo Lanlan;

  • 作者单位

    SDUST Coll Math & Syst Sci Qingdao 266590 Shandong Peoples R China;

    SDUST Geomat Coll Qingdao 266590 Shandong Peoples R China;

    SDUST Coll Mech & Elect Engn Qingdao 266590 Shandong Peoples R China;

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