| 预处理共轭梯度法解病态问题及在GPS中的应用 |
| |
| 引用本文： | 张同兵,谢建,朱建军.预处理共轭梯度法解病态问题及在GPS中的应用[J].测绘工程,2010,19(4):60-63. |
| |
| 作者姓名： | 张同兵 谢建 朱建军 |
| |
| 作者单位： | 中铁二局机械筑路工程公司,四川成都,610031;中南大学信息物理工程学院,湖南长沙,410083 |
| |
| 基金项目： | 国家自然科学基金资助项目 |
| |
| 摘 要： | 介绍测量数据处理中病态问题的岭估计思想及确定岭参数的方法。引入预处理共轭梯度法求解病态法方程组,说明算法的基本原理和它能有效减弱病态性的原因。用一个GPS差分动态定位的实例,通过与不同岭估计方法的对比分析,验证该方法是一个有效的数值迭代算法。
|
| 关 键 词： | 病态问题 岭估计 预处理共轭梯度法 GPS差分动态定位 |
Solving the ill-posed problem by preconditioned conjugate gradient and its application in GPS |
| |
| ZHANG Tong-bing,XIE Jian,ZHU Jian-jun.Solving the ill-posed problem by preconditioned conjugate gradient and its application in GPS[J].Engineering of Surveying and Mapping,2010,19(4):60-63. |
| |
| Authors: | ZHANG Tong-bing XIE Jian ZHU Jian-jun |
| |
| Institution: | 1.CREGC Machinery Engineering Co.; Ltd.; Chengdu 610031; China; 2.Department of Info-physics Geomatics Engineering; Central South University; Changsha 410083; China); |
| |
| Abstract: | The ridge estimation and determination of ridge parameter in ill-posed problem in surveying data processing are briefly introduced.We bring the preconditioned conjugate gradient to solve the ill-posed normal equation,and the basic principle and its ability to diminish the illness of this algorithm are illustrated first.Then it is applied to a kinematic DGPS and it proves to be an effective iterative algorithm through comparison with different ridge estimations. |
| |
| Keywords: | ill-posed problem ridge estimation preconditioned conjugate gradient kinematic DGPS |
| 本文献已被 维普 万方数据 等数据库收录！ |
