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On the basis of Space-Wise Least Square method , three numerical methods including Cholesky decomposition, 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 decomposition method has been unable to meet the requirements of computation efficiency when the computer hardware is limited. Pre-conditioned conjugate gradient method can improve thedoi:10.3724/sp.j.1246.2012.00057 fatcat:vg53lqtdn5ck3gifqzlfhc5p74