| 两类三次样条插值函数的统一解法 |
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| 引用本文： | 冯天祥.两类三次样条插值函数的统一解法[J].西南交通大学学报,2003,38(4):450-453. |
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| 作者姓名： | 冯天祥 |
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| 作者单位： | 重庆三峡学院数学系,重庆,万州,404000 |
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| 摘 要： | 用统一的算法实现两类不同的样条插值．对两类样条的初始条件所得的方程进行整合，统一处理，得出了三次样条插值函数的详尽的计算公式．在不改变误差和收敛性的前提下，实现了两类三次样条插值的统一算法．实践证明，两类三次样条插值函数有统一的算法．
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| 关 键 词： | 样条插值 算法 三次样条 计算公式 |
| 文章编号： | 0258-2724(2003)04-0450-04 |
General Algorithm of Two Kinds of Cubic Spline Interpolation Functions |
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| FENG Tian-xiang.General Algorithm of Two Kinds of Cubic Spline Interpolation Functions[J].Journal of Southwest Jiaotong University,2003,38(4):450-453. |
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| Authors: | FENG Tian-xiang |
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| Abstract: | The aim is to solve two kinds of cubic spline interpolation functions in a gener al algorithm and show the detailed derivation. By combining the spline equation s based on the initial conditions for two kinds of splines, the calculation form ula for cubic spline interpolation functions is derived in detail without changi ng the error and convergence. The research shows that two kinds of cubic spline interpolation functions can be solved in this algorithm. |
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| Keywords: | spline interpolation algorithm cub ic spline |
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