摘要
简述了奇异值分解方法的基本原理,讨论了在大地测量病态问题中运用奇异值分解的两种基本策略,给出了选取截断参数和修正奇异值的方法,并对两者在减弱病态性原理上作了分析比较,最后以一个算例,验证了奇异值分解方法能有效地解决病态问题,提高了解的准确性和可靠性。
We describe the basic theory of SVD method and discuss the two strategies of SVD in ill-posed problems in geodetic data processing,which are truncated SVD and modified SVD.The method to choose the truncation parameter and modified singular value is given,and we compare the principle of each method on how to reduce the extent of ill-pose.Finally,an example is given to validate that the SVD method can solve the ill-posed problems efficiently and improve the precision and reliability of the solution.
出处
《测绘信息与工程》
2011年第4期19-22,共4页
Journal of Geomatics
关键词
病态问题
奇异值分解
奇异值截断
奇异值修正
ill-posed problems
singular value decomposition
truncated SVD
modified SVD
