On Numerical methods for determination of Earth gravity field model using mass satellite gravity gradiometry data  

作　　者：Zhu Guangbin Chang Xiaotao Li Xinfa Zhang Xinhang Li Yuxing 

机构地区：[1]Satellite Surveying and Mapping Application Center, NASG, Bejing 100830, China [2]The First Institute of Surveying and Mapping of Hebei Province, Shijiazhuang 050031, China

出　　处：《Geodesy and Geodynamics》2012年第1期57-62,共6页大地测量与地球动力学（英文版）

基　　金：supproted by the National Natural Science Foundation of China(40874012,40904003,40974016,41004007)

摘　　要：On the basis of Space-Wise Least Square method, three numerical methods including Cholesky de- composition, pre-conditioned conjugate gradient and Open Multi-Processing parallel algorithm are applied into the determination of gravity field with satellite gravity gradiometry data. The results show that, Cholesky de- composition method has been unable to meet the requirements of computation efficiency when the computer hardware is limited. Pre-conditioned conjugate gradient method can improve the computation efficiency of huge matrix inversion, but it also brings a certain loss of precision. The application of Open Multi-Processing parallel algorithm could achieve a good compromise between accuracy and computation efficiency.On the basis of Space-Wise Least Square method, three numerical methods including Cholesky de- composition, pre-conditioned conjugate gradient and Open Multi-Processing parallel algorithm are applied into the determination of gravity field with satellite gravity gradiometry data. The results show that, Cholesky de- composition method has been unable to meet the requirements of computation efficiency when the computer hardware is limited. Pre-conditioned conjugate gradient method can improve the computation efficiency of huge matrix inversion, but it also brings a certain loss of precision. The application of Open Multi-Processing parallel algorithm could achieve a good compromise between accuracy and computation efficiency.

关 键 词：satellite gravity gradiometry Cholesky decomposition pre-conditioned conjugate gradient open multi-processing parallel algorithm data processing 

分 类 号：O241.81[理学—计算数学] P312.1[理学—数学]