带二阶Hermite插值条件的最小二乘估计  

The Method of Least Square with the Second Order of Hermite Interpolation Condition

作　　者：徐艳艳[1] 任静静[1] 陈广贵[1] 罗冰玉 

机构地区：[1]西华大学数学与计算机学院,四川成都610039

出　　处：《西华大学学报（自然科学版）》2014年第1期56-59,共4页Journal of Xihua University:Natural Science Edition

基　　金：西华大学研究生创新基金(04030146)

摘　　要：颜宁生(颜宁生.带Hermite插值条件的最小二乘估计[J].大学数学学报:2011,27(5):80-84.)研究了带Hermite插值条件的最小二乘估计。本文在此基础上,进一步考虑提高函数的光滑度即插值点存在二阶导数的插值,并提出了带二阶Hermite插值条件的最小二乘拟合问题,进而给出了带二阶Hermite插值条件的最小二乘拟合的拟合曲线的具体表达式。最后利用Lingo建模语言设计了求解带二阶Hermite插值条件的最小二乘拟合的拟合曲线参数的程序。The methods of least square with the first order of Hermite interpolation condition were studied by Yan Niug - sheng. On this basis, this paper studies the methods of least square with the second order of Hermite interpolation condition, and gives the concrete expressions of fitted curve using the methods of least square with the second order of Hermite interpolation condition. Finally, the authors design the procedure for solving this Hermite interpolation fitting curve parameters using Lingo modeling language.

关 键 词：最小二乘估计 插值条件 HERMITE LINGO 

分 类 号：TE353[石油与天然气工程—油气田开发工程]