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测量平差中的最优化方法
引用本文:李家权.测量平差中的最优化方法[J].地球科学与环境学报,1987(2).
作者姓名:李家权
摘    要:本文应用最优化方法分析平差问题,指出无论是古典平差或是秩亏自由网平差,实际上都是求矛盾方程组BX-L=0的极小最小二乘解。以此为基础,本文采用Cram-Schmidt矩阵直交化方法,提出一种对古典平差和秩亏自由网平差都适用的计算方法。

关 键 词:测量平差  最优化方法  秩亏自由网平差  矩阵直交化方法

OPTIMIZATION METHOD IN ADJUSTMENT
Li Jiaquan.OPTIMIZATION METHOD IN ADJUSTMENT[J].Journal of Earth Sciences and Environment,1987(2).
Authors:Li Jiaquan
Institution:Xi'an College of Geology
Abstract:By using optimization method the adjustment problems was analyzed.It is pointed out that both classical adjustment and free network adjustment are in fact to solve the minimal least squares solution of ancompatible equation ( BX -L = O).Based on this, a computational method by using the Gram-Schmidt method of orlhogonalization of matrix was Provided, which can be applied to both classical and free networks.
Keywords:adjustment  optimization  method of ortho-gonalization of matrix  
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