| 边角网赫尔默特方差分量估计的特征根法 |
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| 引用本文： | 白茹跃,王艳. 边角网赫尔默特方差分量估计的特征根法[J]. 长春工程学院学报(自然科学版), 2004, 5(3): 46-48 |
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| 作者姓名： | 白茹跃 王艳 |
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| 作者单位： | 吉林大学,建筑工程学院,长春,130061;哈尔滨工业大学,建筑学院,哈尔滨,150012 |
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| 摘 要： | 叙述了赫尔默特方差分量估计的基本思想和基本公式;结合边角网方差分量估计的特点,总结边角网方差分量估计的定权规律;为避免赫尔默特方差分量估计的公式中存在矩阵求逆、多矩阵连乘再求迹的复杂运算,导出边角网方差分量估计的简化公式--特征根公式.
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| 关 键 词： | 边角网 方差分量估计 特征根法 |
| 文章编号： | 1009-8984(2004)03-0046-03 |
| 修稿时间： | 2004-02-23 |
Adjusting triangulateration nets using characteristic roots method in Helmert variance components estimation |
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| BAI Ru-yue,et al.. Adjusting triangulateration nets using characteristic roots method in Helmert variance components estimation[J]. Journal of Changchun Institute of Technology(Natural Science Edition), 2004, 5(3): 46-48 |
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| Authors: | BAI Ru-yue et al. |
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| Abstract: | This paper narrates basic ideas and formula of Helmert Variance components estimation.Using characteristics of triangulateration nets variance components estimation,the paper sums up the law of calculating the weights of measured values in triangulateration nets variance components estimation,advances a simplified formula of estimating the variance components of measured values in triangulateration nets,namely characteristic roots formula.Using this formula,the complicated calculations between matrices in Helmert's formula will be turned away. |
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| Keywords: | triangulateration nets variance components estimation characteristic roots method |
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