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预处理共轭梯度法解病态问题及在GPS中的应用 被引量:4

Solving the ill-posed problem by preconditioned conjugate gradient and its application in GPS
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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。 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.
出处 《测绘工程》 CSCD 2010年第4期60-63,共4页 Engineering of Surveying and Mapping
基金 国家自然科学基金资助项目(40574003 40874005)
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 ill-posed problem ridge estimation preconditioned conjugate gradient kinematic DGPS
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