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| 1 | Iterative Solution of Regularization to Ill-conditioned Problems in Geodesy and Geophysics显示文摘In geodesy and geophysics,many large-scale over-determined linear equations need to be solved which are often ill-conditioned.When the conjugate gradient method is used,their ill-conditioning effects to the solutions must be overcome,which is studied in this paper.Through the regularization ideas,the conjugate gradient method is improved,and the regularization iterative solution based on controlling condition number is put forward.Firstly by constructing the interference source vector,a new equation is derived with ill-condition diminished greatly,which has the same solution to the original normal equation.Then the new equation is solved by conjugate gradient method.Finally the effectiveness of the new method is verified by some numerical experiments of airborne gravity downward to the earth surface.In the numerical experiments the new method is compared with LS,CG and Tikhonov methods,and its accuracy is the highest. | Yongwei GU Qingming GUI Xuan ZHANG Songhui HAN | 2019 | Journal of Geodesy and Geoinformation Science2019，2，1： | 4 |
| 2 | Analysis of the connectivity and robustness of inter-satellite links in a constellation显示文摘In the design of new constellation configurations or research of existing constellation performance,the connectivity and robustness of inter-satellite links (ISL) are needed for analysis.In this paper,graph theory is used to analyze the connectivity and robustness of the ISL in constellations,which are measured under the requirements of a short average distance and a small range of ISL azimuth angles,elevation angles and distances.The method to determine ISL connectivity by using the adjacency matrix of graph theory is put forward for the first time,and the standards of the ISL performance are given using:the number of ways between any two satellites,cutting point,cutting edge,k-connectivity degree and k-edge connectivity degree of graph theory.Finally,in the simulation,the ISLs in the Walker 24/6/1 constellation and the ISLs in the Walker 24/3/1 constellation are established from the optimal perspective of the azimuth angle,elevation angle and distance,and the characteristics of ISL in the Walker 24/6/1 and Walker 24/3/1 constellations are compared.The conclusions of this paper can be used as a reference for the design of new constellation configurations and analysis of existing ISLs. | HAN SongHui GUI QingMing LI JianWen | 2011 | Science China(Physics,Mechanics & Astronomy)2011，54，6： | 2 |
| 3 | Generalized Shrunken Type-Robust Estimation显示文摘 | Liu Jinshan | 1999 | Journal of Surveying Engineering1999，125，4： | 1 |
| 4 | Robust Biased Estimation and its Applications in Geodetic Adjustments显示文摘 | Zhang Jianjun | 1998 | Journal of Geodesy1998，72，78： | 1 |
| 5 | Robust-Biased Estimation Based on Quasi-Accurate Detection显示文摘 | Li Guozhong Ou Jikun | 2005 | Journal of Surveying Engineering2005，131，3： | 1 |
| 6 | Biased Estimation Based on SVD and Its Applications in Geodetic Ad- justment 显示文摘 | Gui Qingming Guo Jianfeng Ou Jikuen | 2002 | Anno Lxi-Bollettino Di Geodesia E Scienze Affini2002，，2： | 1 |
| 7 | Biased estimation based on SVD and its applications in geodetic adjustment显示文摘 | Gui Qingming Guo Jianfeng Ou Jikuen | 2002 | Anno Lxi - Bollettino Di Geodesia E Scienze Affini2002，2，： | 1 |
| 8 | Biased Estimation Based on SVD and Its Application in Geodetic Adiustment显示文摘 | GUI QINGMING GUO JIANFENG OU JIKUN | 2002 | Boliettino di Geodesiae Science Affini2002，，99： | 1 |
| 9 | Bisaed estimation in Gauss-Markov model显示文摘 | Gui Qingming Liu jianjun | 2000 | AVN2000，26，3： | 1 |
| 10 | A Bayesian Approach to the Detection of Gross Er- rors Based on Posterior Probability显示文摘 | Gui Qingming Gong Yisong Li Guozhong | 2007 | J Geodesy2007，81，： | 1 |
| 11 | Detection of Gross Errors Based on Posterior Probability ofObservation Error显示文摘 | Gui Qingming Xu Apei Li Xinna | 2007 | Bollettion di Geodesia e Sci- enze Affini2007，66，3： | 1 |
| 12 | A Bayesian Unmasking Method for Locating Multiple Gross Errors Based on Posterior Probabilities of Classification Variables 显示文摘 | Gui Qingming Li Xinna Gong Yisong | 2011 | J Geodesy2011，85，： | 1 |
| 13 | New Algorithm of GPS Rapid Positioning Based on Double-k-type Ridge Estima tion 显示文摘 | GUI Qingming HAN Songhui | 2007 | Journal of Surveying Engineering2007，133，4： | 1 |
| 14 | Robust Biased Estimation and Its Applications in Geodetic Adjustments显示文摘 | Gui Qingming Zhang Jianjun | 1998 | Journal of Geodesy1998，72，： | 1 |
| 15 | Biased Estimation in Gauss- Markov Model显示文摘 | Gui Qingming Liu J S | 2000 | AVN2000，107，3： | 1 |
| 16 | Detection of Gross Errors Based on Posterior Probability of Observation Error显示文摘 | Gui Qingming Xu Apei Li Xinna | 2007 | Bollettino Di Geodesia E Sci- enze Affini2007，66，3： | 1 |
| 17 | A Bayesian Unmasking Method for Locating Multiple Gross Errors Based on Posterior Probabilities of Classification Variables显示文摘 | Gui Qingming Li Xinna Gong Yisong | 2011 | J Geodesy2011，85，1： | 1 |
| 18 | A New Algorithm of GPS Rapid Positioning Based on Double k Type Ridge Estimation显示文摘 | GUI Qingming HAN Songhui | | 0，，04： | 1 |
| 19 | Biased Estimation Based on SVD and Its Application in Geo detie Adjustment显示文摘 | Gui Qingming Guo Jianfeng Ou Jikun | 2002 | Bollettino di Geodesiae Science Affini2002，2，： | 1 |
| 20 | Biased Estimation in Gauss- Markov Model 显示文摘 | Gui Qingming Liu J S | 2000 | AVN2000，107，3： | 1 |
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