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Rank-defect Net Adjustment Based on Theory of Matrix Factorization
Author(s): 
Pages: 21-24
Year: Issue:  1
Journal: Hydrographic Surveying and Charting

Keyword:  矩阵分解最大秩分解奇异值分解秩亏网平差;
Abstract: 对矩阵的最大秩分解、奇异值分解进行了分析,将两种分解方法应用于秩亏网平差中,得到新的未知量平差结果和精度评定公式,其形式更利于计算机语言编程;同时推导证明了奇异值分解和M-P广义逆矩阵之间的关系,得出奇异值分解的广义逆矩阵为矩阵的M-P广义逆;最后通过秩亏网算例进行了解算,验证了方法的正确性和矩阵分解的有效性.
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