Acta Geodaetica et Cartographica Sinica ›› 2018, Vol. 47 ›› Issue (9): 1171-1178.doi: 10.11947/j.AGCS.2018.20170344

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Mixed Adjustment Algorithm for Part of the Coefficient Matrix with Uncertainty

WANG Zhizhong1, SONG Yingchun2, HE Lingli1   

  1. 1. School of Mathematics and Statistics, Central South University, Changsha 410083, China;
    2. School of Geosciences and Info-physic, Central South University, Changsha 410083, China
  • Received:2017-06-21 Revised:2018-03-21 Online:2018-09-20 Published:2018-09-26
  • Supported by:
    The National Natural Science Foundation of China (Nos. 41574006;41674009;41674012);Independent Exploration and Innovation Project of Graduate students of Central South University (No. 1053320170182)

Abstract: Uncertainty often exists in the process of measurement data acquiring,which affects the reliability and validity of parameter estimation.Based on uncertain mixed adjustment model,this paper applies the adjustment criterion,minimizing the sum of squares of random error and squares of uncertainty error,to study a new iteration algorithm to solve the adjustment model under the bound constrain of uncertainty.By the example,the estimation results of proposed method are compared with that of another relative method.The results show that the parameter calculation method presented in this paper is effective and feasible.Meanwhile,the method has satisfied applicability when the uncertainty is large.

Key words: mixed adjustment model, adjustment criterion, uncertainty, least-squares estimation

CLC Number: