| 论三种平差模型的统一性 |
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| 引用本文： | 张会战,独知行,王新洲,陶秋香.论三种平差模型的统一性[J].测绘科学,2008,33(5). |
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| 作者姓名： | 张会战 独知行 王新洲 陶秋香 |
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| 作者单位： | 山东科技大学,山东青岛,266510;武汉大学,武汉,430072 |
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| 基金项目： | 国家自然科学基金，山东省泰山学者建设工程专项基金 |
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| 摘 要： | 本文从吉洪诺夫正则化方法出发,推导出经典平差、自由网平差、广义岭估计的数学模型;分析了它们与系数阵复共线性的关系,证明它们分别是不同条件数下吉洪诺夫正则化方法的具体形式,从而三种平差模型有机地统一成一种数学模型。
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| 关 键 词： | 吉洪诺夫正则化方法 经典平差 自由网平差 广义岭估计 |
Discussion of the uniformity of the three adjustment models |
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| ZHANG Hui-zhan,DU Zhi-xing,WANG Xin-zhou,TAO Qiu-xiang.Discussion of the uniformity of the three adjustment models[J].Science of Surveying and Mapping,2008,33(5). |
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| Authors: | ZHANG Hui-zhan DU Zhi-xing WANG Xin-zhou TAO Qiu-xiang |
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| Abstract: | In the paper,classical surveying adjustment,free network adjustment and generalized ridge parameter are derived based on the principle of Tikhonov regularization method.It is demonstrate that they are,respectively,a specific expression of Tikhonov regularization method after analyzing the relation between them and their coefficient array's mult-collinearity.As a result they are expressed with a unified mathematical model. |
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| Keywords: | Tikhonov regularization method classical surveying adjustment free network adjustment generalized ridge parameter |
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