摘要
本文从吉洪诺夫正则化方法出发,推导出经典平差、自由网平差、广义岭估计的数学模型;分析了它们与系数阵复共线性的关系,证明它们分别是不同条件数下吉洪诺夫正则化方法的具体形式,从而三种平差模型有机地统一成一种数学模型。
In the paper, classical surveying adjustment, free network adjustment and generalized ridge parameter are derived based on the principle of Tikhonov regularization method. It is demonstrate that they are, respectively, a specific expression of Tikhonov regularization method after analyzing the relation between them and their coefficient array＇s mult - eollinearity. As a result they are expressed with a unified mathematical model.
出处
《测绘科学》
CSCD
北大核心
2008年第5期83-84,共2页
Science of Surveying and Mapping
基金
国家自然基金(40474005)
山东省泰山学者建设工程专项经费资助项目(TSXZ0502)
关键词
吉洪诺夫正则化方法
经典平差
自由网平差
广义岭估计
Tikhonov regularization method
classical surveying adjustment
free network adjustment
generalized ridge parameter
