论三种平差模型的统一性  

Discussion of the uniformity of the three adjustment models

作　　者：张会战[1] 独知行[1] 王新洲[2] 陶秋香[1] 

机构地区：[1]山东科技大学,山东青岛266510 [2]武汉大学,武汉430072

出　　处：《测绘科学》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)

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.

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 

分 类 号：P207[天文地球—测绘科学与技术]