| 基于同伦法的非线性最小二乘平差统一模型 |
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| 引用本文： | 张勤,陶本藻.基于同伦法的非线性最小二乘平差统一模型[J].武汉大学学报(信息科学版),2004,29(8):708-710. |
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| 作者姓名： | 张勤 陶本藻 |
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| 作者单位： | 1. 长安大学地质工程与测绘工程学院,西安市雁塔路126号,710054
2. 武汉大学测绘学院,武汉市珞喻路129号,430079 |
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| 基金项目： | 地球空间环境与大地测量教育部重点实验室开放研究基金资助项目 ( 0 2 0 9 0 1) |
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| 摘 要： | 基于非线性同伦思想，提出了非线性同伦最小二乘平差统一模型，该方法既可适用于满秩网非线性最小二乘平差，也可适用于秩亏网非线性最小二乘平差。算例表明，对于精度较差的初始值，算法仍能精确地收敛到原方程的参数估值。
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| 关 键 词： | 非线性最小二乘 同伦算法 非线性同伦模型 平差统一模型 |
| 文章编号： | 1671-8860(2004)08-0708-03 |
| 修稿时间： | 2004年4月13日 |
Uniform Model of Nonlinear Least Squares Adjustment Based on Homotopy Method |
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| ZHANG Qin,TAO Benzao.Uniform Model of Nonlinear Least Squares Adjustment Based on Homotopy Method[J].Geomatics and Information Science of Wuhan University,2004,29(8):708-710. |
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| Authors: | ZHANG Qin TAO Benzao |
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| Institution: | ZHANG Qin 1 TAO Benzao 2 |
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| Abstract: | On the basis of the homotopy arithmetic, this paper puts forward a uniform model of nonlinear least square (LS) adjustment, which can be used not only for the nonlinear LS adjustment of the rank defect problems, but also for that of the rank full problems. For the initial value with later precision, it is shown by the actual nonlinear function examples that we can still get the precise original solutions by homotopy nonlinear LS method. |
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| Keywords: | nonlinear LS homotopy arithmetic nonlinear homotopy model uniform model of adjustment |
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