| 用重节点差商法求解埃尔米特插值函数 |
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| 引用本文： | 冯天祥.用重节点差商法求解埃尔米特插值函数[J].西南交通大学学报,2005,40(2):273-276. |
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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,404000 |
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| 摘 要： | 为了求三次埃尔米特插值函数，采用重节点差商的方法，得到了类似于牛顿插值的结果．与Lagrange插值基函数法相比，本方法十分简便．就一般情况给出了三次埃尔米特插值函数的误差公式，并介绍了误差公式的证明方法．
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| 关 键 词： | 埃尔米特插值 牛顿插值 分段插值 误差估计 重节点差商法 |
| 文章编号： | 0258-2724(2005)02-0273-04 |
Solving Hermite Interpolation Functions with the Method of Divided Difference at the Same Node |
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| FENG Tian-xiang.Solving Hermite Interpolation Functions with the Method of Divided Difference at the Same Node[J].Journal of Southwest Jiaotong University,2005,40(2):273-276. |
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| Authors: | FENG Tian-xiang |
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| Abstract: | To solve cubic-Hermite interpolation functions, the method of divided difference at same node was used, and the result similar to Newton's interpolation function was obtained. The proposed method is much simpler compared with Lagrange interpolation with base function. An error formula for cubic-Hermite's interpolation function was derived and proven for general cases. |
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| Keywords: | Hermite interpolation Newton interpolation subsection interpolation error estimation divided difference at same node |
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