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| 引用本文： | 王彬,高井祥,刘超,王坚,周锋.L???????????????????????е????[J].大地测量与地球动力学,2012,32(3):97-101. |
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| 作者姓名： | 王彬 高井祥 刘超 王坚 周锋 |
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| 作者单位： | 1. 中国矿业大学环境与测绘学院,徐州 221116;江苏省资源环境信息工程重点实验室,徐州 221116
2. 中国矿业大学环境与测绘学院,徐州,221116 |
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| 基金项目： | 国家自然科学基金，江苏省高校研究生科研创新计划项目 |
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| 摘 要： | ??????????????????????????????????????????????????L???????????????????????????????????????????е????????????????????t???Cholesky?????е?λ?????????????????????????????????????????????????е?λ???????L???????????????е????????á????????????????????????Ч?????????????????
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| 关 键 词： | ????????? L????? ????? ???????? ???????? |
APPLICATION OF L-CURVE METHOD TO EQUIVALENT WEIGHT ROBUST RIDGE ESTIMAION MODEL |
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| Wang Bin
,
Gao Jingxiang
,
Liu Chao
,
Wang Jian
,
Zhou Feng.APPLICATION OF L-CURVE METHOD TO EQUIVALENT WEIGHT ROBUST RIDGE ESTIMAION MODEL[J].Journal of Geodesy and Geodynamics,2012,32(3):97-101. |
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| Authors: | Wang Bin Gao Jingxiang Liu Chao Wang Jian Zhou Feng |
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| Institution: | 1,2) 1)China University of Mining and Technology,CESSI,Xuzhou 2211162)Jiangsu Key Laboratory of Resources and Environmental Information Engineering,Xuzhou 221116 |
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| Abstract: | An equivalent weight robust ridge estimation model is derived according to the idea of robust estimation for correlated observations,and then the L-curve method is introduced to this model for the solution of ridge parameters.In the iterative process,equivalent weight matrix may be non positive definite so it can not be unitized through classical Cholesky decomposition.According to the characteristic of bifactor model,an algorithm of equivalent weight matrix decomposition is proposed to solve this problem,then the L-curve method can be successfully used in this process.The calculated example manifests that this model can effectively eliminate the influence of coefficient matrix’s morbidity and gross errors. |
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| Keywords: | robust ridge estimation L-curve method ridge parameter bifactor model equivalent weight matrix decomposition |
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