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| 引用本文： | 袁振超,沈云中,周泽波.?????????С??????????????[J].大地测量与地球动力学,2009,29(2):131-135. |
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| 作者姓名： | 袁振超 沈云中 周泽波 |
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| 作者单位： | 1. 同济大学测量与国土信息工程系,上海,200092
2. 同济大学测量与国土信息工程系,上海,200092;国家测绘局现代工程测量重点实验室,上海,200092 |
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| 摘 要： | ????????????????????????????????????????????????????С????????в???????,?????????????С???????????????????????????????????Tikhonov?????????????????????С??????????????????????????????????????????????Э????????????????????Fredholm???????????????????????????С????????????????????? ???????????????????????й?????????????????????????????
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| 关 键 词： | ??????С?????? ?????? Tikhonov???? ?????? ?????? |
REGULARIZED TOTAL LEAST-SQUARES SOLUTION TO ILL-POSED ERROR-IN-VARIABLE MODEL |
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| Yuan Zhenchao,Shen Yunzhong,Zhou Zebo.REGULARIZED TOTAL LEAST-SQUARES SOLUTION TO ILL-POSED ERROR-IN-VARIABLE MODEL[J].Journal of Geodesy and Geodynamics,2009,29(2):131-135. |
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| Authors: | Yuan Zhenchao Shen Yunzhong Zhou Zebo |
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| Abstract: | Total least-squares method is preferrable to estimate the parameters in the linear observation models when both the observaion and designed matrix are contaminated by random errors.However,the conventional total least-squares solution cannot deal with the ill-posed problems,so the regularization algorithm must be used in this case.The formulas of regularized total least-squares solution based on Tikhonov regularization criterion are derived and the variance-covariance matrices of the estimated parameters ar... |
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| Keywords: | total least-squares solution ill-posed model Tikhonov regularization designed matrix random error |
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