| 部分有界不确定性数据平差方法 |
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| 引用本文： | 陈晓林,宋迎春,邹渤.部分有界不确定性数据平差方法[J].大地测量与地球动力学,2015,35(1):118-121. |
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| 作者姓名： | 陈晓林 宋迎春 邹渤 |
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| 作者单位： | 中南大学地球科学与信息物理学院， 长沙市麓山南路932号， 410083 |
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| 摘 要： | 针对传统最小二乘法以及总体最小二乘法不完全适合于系数矩阵带有有界误差，及有界不确定性数据平差方法也不能直接用于系数矩阵只是部分带有有界误差的问题，基于有界误差问题的平差方法，给出解决部分有界问题的迭代算法，并验证该方法的有效性。
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| 关 键 词： | 部分有界 总体最小二乘 最小二乘 系数矩阵 |
| 收稿时间： | 2014-01-15 |
Adjustment of Part Bounded Uncertain Data |
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| CHEN Xiaolin,SONG Yingchun,ZOU Bo.Adjustment of Part Bounded Uncertain Data[J].Journal of Geodesy and Geodynamics,2015,35(1):118-121. |
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| Authors: | CHEN Xiaolin SONG Yingchun ZOU Bo |
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| Institution: | School of Geosciences and Info-Physics，Central South University，932 South-Lushan Road, Changsha 410083, China |
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| Abstract: | Neither least-squares nor total least-squares can be applied to the condition that a coefficient matrix has bounded errors very well. In addition, the adjustment of bounded uncertain data cannot be directly applied in this condition. Therefore, the part bounded problem is analyzed in this paper. An iterative algorithm to solve this issue is proposed based on the adjustment of bounded uncertain data. The validity of this method is proved through an example. |
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| Keywords: | part bounded total least-squares least-square coefficient matrix |
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