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浅谈大地测量中的病态问题 被引量:2

Discussion on the Ill-Conditioned Problems in Geodetic Surveying
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摘要 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。 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 methods, and simply discusses the development of the ill - conditioned problems.
出处 《测绘与空间地理信息》 2008年第5期205-206,共2页 Geomatics & Spatial Information Technology
关键词 大地测量 病态问题 估计方法 geodetic surveying ill - conditioned problem the method of estimation
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