矩阵反演公式在分组平差教学中的应用

文献1]从消去k_1后的整体平差的法方程中引出了分组平差的两种解法的概念,其它各种函数模型第二次平差时的第二种解法都是通过第一次平差与整体平差的第二种解法比较得出。本文应用矩阵反演公式,直接从第一种解法导出第二种解法的公式。在序贯平差中通过引入假观测值法,简化了第二种解法的公式推证过程。

Applications of The Inversion Formulas of Matrix in Grouped Adjustment Teaching

In reference l], the second solution of grouped adjustment is inroduced from the normal equations of an overall adjustment through eliminating the correlate, vecotr. KM and the second solution of the other function models in second adjustment are all derived by making comparision between the first adjustment and the second solution of the overall adjustment. In this paper, by using the inversion formulas of matrix, the second solution formulas is directly derived from the first one. On the successive adjustment, the deduction of the second solution formulas is simplified by introduction of fictitious observation values.