加权广义逆与秩亏网平差

Weighted Generalized Inverse and Rank-Defect Net Adjustment

摘要: 本文叙述了加权广义逆矩阵的概念。由加权广义逆与线性方程组的解之间的关系,说明了三种秩亏网平差(普通秩亏网平差、拟稳平差、加权秩亏网平差)同属于加权秩亏网平差,只是它们各自选取了不同的权阵P_x,因此均可用加权广义逆来解释它。

Abstract: The concept of weighted generalized inverse matrices is described in this paper,It is shown,from the relationship between weighted generalized inverse and solution of linear equations,that three kinds of rank-defect network adjustment(common used rank-defect network adjustment,quasi-stable adjustment,weighted rank-defect network adjustment) all belong to the weighted rank-defect net adjustment.But different weight matrices are selected in them.Therefore,they can all be explicated with weighted generalized inverse.