| 自由网平差中若干问题的讨论 |
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| 引用本文： | 於宗俦,于正林.自由网平差中若干问题的讨论[J].武汉大学学报(信息科学版),1986(3). |
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| 作者姓名： | 於宗俦 于正林 |
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| 摘 要： | 自由网平差主要有三种:秩亏网平差、拟稳平差和(范数)加权秩亏网平差,而(范数)加权秩亏网平差是自由网平差的普遍形式。三种自由网平差的结果可以相互转换,且无需求d阶逆阵。三种自由网平差的解与经典自由网平差的解一样,具有无偏性,且x_r是最优无偏估计,x_s是部分最优,x_p是加权最优。
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| 关 键 词： | 加权秩亏网平差 加权最优无偏估计 |
On Some Problems Concerning Free Net Adjustments |
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| Yu Zongchou Yu Zhenglin.On Some Problems Concerning Free Net Adjustments[J].Geomatics and Information Science of Wuhan University,1986(3). |
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| Authors: | Yu Zongchou Yu Zhenglin |
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| Institution: | Yu Zongchou Yu Zhenglin |
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| Abstract: | Free net adjustments mainly fall into three kinds: the commonly used rank-defect network adjustment, the quasi-stable adjustment and the (norm) weighted rank-defect adjustment, of which the last one is the general form. This essay argues that s (1) the results obtained from these adjustments can be transformed one another without calculating d-order inverse matrix, (2) the solutions derived from them, just like that gained from the classical free net adjustment, are unbiased. Among them x_ is the best unbiased estimation, x_s is partly best and x_p is the best with weight. |
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| Keywords: | weighted rank-deficient-net adjustment weighted best unbiased estimation |
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