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《Science of Surveying and Mapping》 2009-04
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Adjustment theory and application of generalized inverse matrix

FENG Hao-jian(Chinese Academy of Surveying and Mapping,Beijing 100039,China)  
From the basic knowledge of generalized inverse matrix,a mathematic model of adjustment of observations is established based on the basic equation and characteristic of measurement error.The new theory is called the adjustment of generalized inverse matrix,which is used to solve the problems of measurement adjustment.Compared to the method of least squares,the process is more simple and understandable.The paper discuss the relationship of different adjustment,present the universal model of different adjustment.The adjustment method with unknown parameters is also pointed out and the selection of different parameters has great effect on the results of adjustment.The example is also discussed on the paper.
【Key Words】: measurement adjustment generalized inverse matrix
【CateGory Index】: P207.2
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【References】
Chinese Journal Full-text Database 1 Hits
1 LUO San-ming1,YANG Guo-hua1,HUANG Qu-hong2,WANG Xi-ning2(1.First Crust Deformation Monitoring and Application Center,CEA,Tianjin 300180,China; 2.First Geodetic Surveying Brigade,SBSM,Xi'an 710054,China);Adjustment Method of GPS Base-Line Vectors Network Based on Improved Gram-Schmidt Arithmetic[J];Journal of Geomatics Science and Technology;2011-04
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Feng Hao Jian(Research Institute of Surveying and Mapping);ON THE ADJUSTMENT OF NETWORK WITHRANK DEFICIENCY[J];Acta Geodaetica Et Cartographic Sinica;1984-04
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 TAO Ben zao (Wuhan Technical University of Surveying and Mapping, Wuhan 430079, China);Generalized Matrix Inverses and Adjustment of Observations[J];Engineering of Surveying and Mapping;2000-04
2 Yin Zhao;Zhong Weimin (Heilongjinng Finance College) (Heilongjiang Meteorogical Polytechnic School of Staff and Workers) Zhao Lijun (Heilongjiang Nong Keng Teachers College);GENERALIZED INVERSE MATRIX SOLUTION FOR LINEAR EQUATION GROUP[J];NATURAL SCIENCE JOURNAL OF HARBIN NORMAL UNIVERSITY;1999-05
3 TONG Qiu-juan~1,LU Quan~2,LI Xue-feng~1(1.Department of Applied Mathematics and Physics,Xi'an University of Post and Telecommunications,Xi'an 710061,China;2.Department of Applied Mathematics of Northwestern Polytechnical University,Xi'an 710072,China);Fast algorithm of minimal norm least square solution for Cauchy linear system[J];Journal of Hehai University (Natural Sciences );2005-06
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