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| 整体最小二乘法在非线性拟合中的若干探讨 | |
| 引用本文： | 唐东跃,唐伟靖. 整体最小二乘法在非线性拟合中的若干探讨[J]. 城市勘测, 2011, 0(5): 107-109 |
| 作者姓名： | 唐东跃 唐伟靖 |
| 作者单位： | 1. 浙江省河海测绘院,浙江杭州,310008 2. 浙江省煤炭测绘院,浙江杭州,310021 |
| 摘 要： | 基于整体最小二乘的思想进行曲线拟合,是整体最小二乘法应用研究的热点之一,它的基本要求是,在曲线拟合时要顾及因变量与自变量的误差,它与普通的最小二乘法相比,是以正交距离的范数最小为约束准则。本文先阐述了整体最小二乘法的原理及基本解算法,并对曲线方程进行线性化,使之能够进行整体最小二乘法求解,最后结合实例说明该方法的可行性... |
| 关 键 词： | 整体最小二乘 奇异值分解 最小二乘 非线性回归 |
Discussion about Total Least Squares in Nonlinear Fitting |
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| Tang Dongyue,Tang Weijing. Discussion about Total Least Squares in Nonlinear Fitting[J]. Urban Geotechnical Investigation & Surveying, 2011, 0(5): 107-109 | |
| Authors: | Tang Dongyue Tang Weijing |
| Affiliation: | Tang Dongyue1,Tang Weijing2(1.ZheJiang Surveying Institute of Estuary and Coast,Hangzhou 310008,China,2.ZheJiang Surveying Institute of Coal,Hangzhou 310021,China) |
| Abstract: | Curve fitting based on total least squares theory is one of the focus of total least squares application research.Its basic requirement is considering the error between dependent variable and independent variable.Comparing with the common least square,it takes the norm minimum of orthogonal distance as constraint criterion.This thesis discusses the principle and basic solution of total least squares,and linearizes curve equation for solution with total least squares.Finally it illustrates the feasibility an... |
| Keywords: | Total least squares singular value decomposition least square nonlinear regression |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |