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引用本文:郭淑妹,郭杰,张宁.���򻯷�����ͳһ[J].大地测量与地球动力学,2015,35(1):129-131.
作者姓名:郭淑妹  郭杰  张宁
作者单位:信息工程大学理学院 , 郑州市科学大道62号, 450001
基金项目:国家自然科学基金(41174005)
摘    要:????С?????????????任??????1????????????????????????????????????????Э????????????????????????????????????????????Tikhonov?????????????????????????????鷽?????????????????????Э??????????????

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收稿时间:2014-03-08

The Unified Framework of the Regularization Techniques
GUO Shumei,GUO Jie,ZHANG Ning.The Unified Framework of the Regularization Techniques[J].Journal of Geodesy and Geodynamics,2015,35(1):129-131.
Authors:GUO Shumei  GUO Jie  ZHANG Ning
Institution:School of Science, Information Engineering University, 62 Kexue Road, Zhengzhou 450001, China
Abstract:In this paper, the estimator is based on a linear transformation of the LS estimation.It provides an optimal solution to the true and a constrained covariance matrix. The regularization techniques are unified with the respect to filtering factors. Filtering factors and corresponding eigenvalue of error covariance matrix of some known regularization estimators as Tikhonov-Philips regularization, truncated singular value decomposition, generalized ridge regression and others are provided.
Keywords:LS estimation  covariance matrix  regularization  filtering factor
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