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引用本文:王解先,冯宝新. Jacobi��ֵ������ʵ�Գƾ��������е�Ӧ��[J]. 大地测量与地球动力学, 2010, 30(1): 74-76
作者姓名:王解先  冯宝新
作者单位:1. 同济大学测量与国土信息工程系,上海,200092;现代工程测量国家测绘局重点实验室,上海,200092
2. 上海瑞纳信息技术有限公司,上海,200092
基金项目:国家自然科学基金(40974018)
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APPLICATION OF JACOBI NUMERICAL METHOD IN INVERSE PROBLEM OF REAL SYMMETRY MATRIX
Wang Jiexian,Fen Baoxin. APPLICATION OF JACOBI NUMERICAL METHOD IN INVERSE PROBLEM OF REAL SYMMETRY MATRIX[J]. Journal of Geodesy and Geodynamics, 2010, 30(1): 74-76
Authors:Wang Jiexian  Fen Baoxin
Abstract:Least square is general approach in surveying adjustment,where inversion of normal equation is inevitable.The algorithm of Jacobi numerical method for inversing real symmetry matrix is introduced.By orthogonal transformation,the non diagonal elements can be changed to zero and eigenvalues with corresponding eigenvectors are obtained.It makes the inversion of matrix very easy.The ranks of normal equation are the number of non-zero eigenvalues.The approach is numerical so can be realized easily with a compute...
Keywords:real symmetry matrix  orthogonal transformation  inversion  Jacobi numerical method  least square  
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