In view of the low accuracy of traditional adjustment, an improved multiple-group adjustment method in indirect adjustment is proposed in this paper. In the process of improved multiple-group adjustment, the first group is first adjusted, and then the adjustment result of the first group and the observation value of the second group are adjusted together, which makes the results in the first-group adjustment meet the overall adjustment results. Finally, the posteriori unit-weight variance value, the coordinated factor matrix of the adjustment result, and the unknown function weight reciprocal are calculated. The experimental results show that the accuracy of multiple-group adjustment in the indirect grouping adjustment will be more accurate than the traditional indirect adjustment method. Moreover, this work provides important ideas and techniques for handling the goniometric triangular network of control surveys.
Multiple-group adjustment, indirect adjustment, normal equations, error equations, accuracy evaluation
HUANG, CHANGJUN; XIA, HONGMEI; and ZHANG, XIKE
"Multiple-group adjustment method in indirect adjustment,"
Turkish Journal of Mathematics: Vol. 43:
1, Article 8.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss1/8