| 五次样条函数的构造 |
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| 引用本文： | 唐建国,蒋九林. 五次样条函数的构造[J]. 郑州大学学报(理学版), 2005, 37(3): 15-18 |
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| 作者姓名： | 唐建国 蒋九林 |
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| 作者单位： | 湖南科技学院数学与计算科学系,湖南,永州,425006 |
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| 摘 要： | 给出了五次样条函数M,T关系式的构造过程,分类补充4个边界条件,得到关于变元Mi,Ti的对称五对角线性方程组,解之仅需约20 n个运算量,从而能方便快捷地求出五次样条函数的分段表达式.数值结果显示其具有较高的逼近精度及良好的整体光滑性.
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| 关 键 词： | 五次样条函数 M,T关系式 边界条件 五对角线性方程组 误差 |
| 文章编号： | 1671-6841(2005)03-0015-04 |
| 收稿时间： | 2004-09-20 |
| 修稿时间： | 2004-09-20 |
A Construction of Quintic Interpolating Splines |
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| Tang Jianguo,Jiang Jiulin. A Construction of Quintic Interpolating Splines[J]. Journal of Zhengzhou University(Natrual Science Edition), 2005, 37(3): 15-18 |
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| Authors: | Tang Jianguo Jiang Jiulin |
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| Abstract: | The M,T relation formulas of quintic interpolating splines are deduced. After complementing four boundary conditions,a linear system with quinque-diagonal coefficient matrix is obtained,and it can be solved in about 20n operations. And then the subsection analytic formulas of quintic interpolating splines are derived. Numerical results show that it has high accuracy of approximation and whole smoothness compared with other interpolation functions. |
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| Keywords: | quintic interpolating splines M,T relation formulas boundary conditions quinquediagonal linear systems errors |
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