首页|期刊导航|大地测量与地球动力学|SPECTRAL DECOMPOSITRION FORMULA FOR REGULARIZATION SOLUTION OF ILL-POSED EQUATION
大地测量与地球动力学2003，Vol.23Issue(z1)：74-78,5.
SPECTRAL DECOMPOSITRION FORMULA FOR REGULARIZATION SOLUTION OF ILL-POSED EQUATION
SPECTRAL DECOMPOSITRION FORMULA FOR REGULARIZATION SOLUTION OF ILL-POSED EQUATION
摘要
Abstract
This paper discusses the regularization solution of ill-posed equation with the help of its spectral decomposition formula. It shows that regularization can filter the influence of the high frequency errors which are very sensitive to the parameters to be estimated, and gives a complete derivation of the spectral decomposition formulae of least squares adjustment, rank-deficient adjustment and the regularization solution of ill-posed equation. It also shows the equivalence between the trace of the mean squares error and the expectation of the second norm of estimated parameter's total error.关键词
Ill-posed equation/regularization solution/spectral decomposition formulaKey words
Ill-posed equation/regularization solution/spectral decomposition formula分类
天文与地球科学引用本文复制引用
Shen Yunzhong,Hsu H. T...SPECTRAL DECOMPOSITRION FORMULA FOR REGULARIZATION SOLUTION OF ILL-POSED EQUATION[J].大地测量与地球动力学,2003,23(z1):74-78,5.基金项目
Supported by the Natrrional Science Foundations (40234039) （40234039）
Opening Laboratory of Dynamical Geodesy, Chinese Academy of Science(L21-01) and Education Development Foundation of Shanghai City(01JG050348). （L21-01）
