Weighted Generalized Inverse and Rank-Defect Net Adjustment

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.