CAJ | 학술논문

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。
안저생（안저생．대Hermite삽치조건적최소이승고계[J]．대학수학학보：2011，27（5）：80-84．）연구료대Hermite삽치조건적최소이승고계。본문재차기출상，진일보고필제고함수적광활도즉삽치점존재이계도수적삽치，병제출료대이계Hermite삽치조건적최소이승의합문제，진이급출료대이계Hermite삽치조건적최소이승의합적의합곡선적구체표체식。최후이용Lingo건모어언설계료구해대이계Hermite삽치조건적최소이승의합적의합곡선삼수적정서。
The methods of least square with the first order of Hermite interpolation condition were studied by Yan Ning -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 .