On the Adjustment with Rank-Defects of a Free Network

Based upon the point of view of classical adjustment of observations,this paper deals with the analyses and discussions of the characteristics of the solution of the adjustment with rank-defects of a free network.Conclusions are made concerning the following points:1,The result obtained from the adjustment with rank-defects of a free net-work by"the method of auxiliary condition",is the same as that by"the method of pseudo-observation",but the former is more appropriate than the latter.2,The solution of the adjustment with rank-defects has the characteristics of least variance as well as unbiasedness.3,The relationship between the solution of the adjustment with rank-defects and its system of reference.besides,the relationship between the solutions of the adjustment with rank-defecst and the classical adjustment of a free network;the relationship between the adjustment with rank-defects and the generalized inverses;the condition of invariant as well as some methods of calculation are also dealt with.