Weighted total least square adjustment EIO model and its algorithms

doi:10.11947/j.AGCS.2019.20170021

Acta Geodaetica et Cartographica Sinica ›› 2019, Vol. 48 ›› Issue (7): 926-930.doi: 10.11947/j.AGCS.2019.20170021

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Weighted total least square adjustment EIO model and its algorithms

DENG Xingsheng¹, PENG Sichun¹, YOU Yangsheng²

1. School of Traffic and Transportation Engineering, Changsha University of Science & Technology, Changsha 410114, China;
2. School of Civil Engineering, Chongqing University, Chongqing 400044, China

Received:2017-01-12 Revised:2017-05-10 Online:2019-07-20 Published:2019-07-26
Supported by:
The National Natural Science Foundation of China (No. 41671498); The Open Fund of Engineering laboratory of Spatial Information Technology of Highway Geological Disaster Early Warning in Hunan Province (No. KFJ150602)

Abstract

Abstract: EIO (errors-in-observations) model is proposed for the weighted total least squares adjustment problem. The EIO model only corrects the independent observations. The observation cofactor matrix has the simplest structure. The flaw of EIV model is overcome. Based on the EIO model, the precise parameter estimation and cofactor matrix formulations are derived and proved by several examples, which show that the results are correct and the algorithm is efficient.

Key words: weight total least square (WTLS), errors-in-observations (EIO) model, parameter estimation, cofactor matrix, iterative algorithm

CLC Number:

P207

DENG Xingsheng, PENG Sichun, YOU Yangsheng. Weighted total least square adjustment EIO model and its algorithms[J]. Acta Geodaetica et Cartographica Sinica, 2019, 48(7): 926-930.

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Weighted total least square adjustment EIO model and its algorithms

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