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| 引用本文： | 胡川,陈义.??????????С????????????????·???[J].大地测量与地球动力学,2012,32(6):106-110. |
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| 作者姓名： | 胡川 陈义 |
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| 作者单位： | 1. 同济大学测绘与地理信息学院,上海,200092
2. 同济大学测绘与地理信息学院,上海200092;现代工程测量国家测绘局重点实验室,上海200092 |
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| 基金项目： | 国家自然科学基金(41074017) |
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| 摘 要： | ?????????С???????????????????????????????????????????????????в?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????÷??????????????????Schaffrin & Wieser????????????????????
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| 关 键 词： | ?????????С????? ??? ?????? ?????? ????? |
AN INNOVATED ALGORITHM FOR SOLUTION OF WEIGHTED TOTAL LEAST SQUARES ADJUSTMENTS |
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| Hu Chuan,and Chen Yi.AN INNOVATED ALGORITHM FOR SOLUTION OF WEIGHTED TOTAL LEAST SQUARES ADJUSTMENTS[J].Journal of Geodesy and Geodynamics,2012,32(6):106-110. |
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| Authors: | Hu Chuan and Chen Yi |
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| Institution: | 1,2) 1)College of Surveying and Geo-informatics,Tongji University,Shanghai 2000922)Key Laboratory of Modern Engineering Surveying,SBSM,Shanghai 200092 |
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| Abstract: | The weighted total least squares problem not only takes into account the errors of coefficient matrix but also consideres that the heteroscedasticity between the observable vector and the coefficient matrix.Seeing that the traditional iteration algorithm for solving the problem is too complicate,this paper considered the errors of observable vector as a function of the errors of coefficient matrix and the parametes.Through the linearization,it became adjustment of observation equations problems, hence the Lagrange multiplier method was used to carry out the iteration functions for this algorithm.And then,two numerical examples were given, and it was shown that the adjustment results with our approach is identify with Schaffrin &; Wieser method. |
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| Keywords: | weighted Total Least Squares(WTLS) adjustment indirect adjustment line fitting linearization |
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