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《Journal of Geodesy and Geodynamics》 2019-01
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A New Method of Constructing Regularized Matrix

WU Guangming;LU Tieding;DENG Xiaoyuan;QIU Dechao;Faculty of Geomatics,East China University of Technology;Key Laboratory of Watershed Ecology and Geographical Environment Monitoring,NASMG;Key Lab for Digital Land and Resources of Jiangxi Province;Geomatics Center of Zhejiang Province;  
In parameter solving under the conditions of coefficient matrix,the rational selection of regularization parameters and regularization matrix can improve the reliability of parameter estimation.The symmetric matrix is constructed by the eigenvectors corresponding to the smaller singular values of the matrix.The diagonal matrix is constructed by the main diagonal elements of the matrix,and then a new regularization matrix is obtained by combining with the unit matrix.The experimental results show that when the regularization parameter is less than 1,the parameter estimation of this algorithm is better than the ridge estimation.
【Fund】: 国家自然科学基金(41374007 41464001);; 江西省科技落地计划(KJLD12077);; 江西省教育厅科技项目(GJJ13457);; 江西省自然科学基金(2017BAB203032);; 国家重点研发计划(2016YFB0501405 2016YFB0502601-04)~~
【CateGory Index】: P207
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1 ZENG Xiaoniu;LIU Daizhi;LI Xihai;SU Juan;CHEN Dingxin;QI Wei;School of Primary Command,The Second Artillery Engineering University;;An Improved Singular Value Modification Method for Ill-posed Problems[J];武汉大学学报(信息科学版);2015-10
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3 LI Man;LIN Wen-dong;School of Nuclear Engineering and Geophysics,East China Institute of Technology;103 Brigade of Non-ferrous Geological Bureau of Liaoning Province;;The Study of Regularization Inversion for 2. 5 Dimension DC Resistivity Based on Minimum Support Stabilizing Factor[J];东华理工大学学报(自然科学版);2014-03
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