浅谈大地测量中的病态问题

在大地测量中,病态问题是广泛存在的.为了解决这一问题,国内外的许多专家学者都致力于病态问题的研究,提出了处理病态问题的方法,主要有岭估计、广义岭估计、主成分估计法、Tikhonov正则化方法、SVD奇异值分解法以及虚拟观测方法等.本文主要对这些方法的基本原理进行了简单的概括,并对病态问题的发展做了简要论述.

Discussion on the Ill-Conditioned Problems in Geodetic Surveying

Ill-conditioned problems are widely existed in geodetic surveying.To resolve this problem,many experts and scholars both at home and abroad are devoted to the research of the ill-conditioned problems.And they put forward the methods to dealing with the ill-conditioned problems,such as ridge estimation,generalized ridge estimation,principle components estimation,Tihonov regularization,singular value decomposition and virtual observational approach.This paper mainly generalizes the basic principle of these me...