| 引用本文: | 方逵.保形的Hermite插值样条函数.[J].国防科技大学学报,1990,12(3):39-44.[点击复制] |
| Fang Kui.Shape Preserving Hermite Interpolation Spline Function[J].Journal of National University of Defense Technology,1990,12(3):39-44[点击复制] |
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| 保形的Hermite插值样条函数 |
| 方逵 |
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(系统工程与应用数学系)
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| 摘要: |
| 本文讨论一种满足Hermite插值条件的保形样条函数，文中构造了一个保单调的样条函数q(x)，且q(x)满足下列条件: 1)q(xi)=yi，i=O，1，2，…，n，n+1；2)q'(xi)=y'i i=0，1，2，…，n，n十1.该方法对凸数组及相应的导数也适合。 |
| 关键词: 插值，样条函数，单调递增数组.凸数组，保形样条插值 |
| DOI： |
| 投稿日期：1989-04-17 |
| 基金项目: |
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| Shape Preserving Hermite Interpolation Spline Function |
| Fang Kui |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In this paper，we described a shape preserving spline function with Hermite interpolation condition. A spline function of monotone perserving q(x) is constructed，and q(x) satisfies 1) q(xi)=yi，i=0，1，…，n，n+1，
2) q'(xi)= y'i i=0，1 ，…，n，n+1.
Similar spline functions have a1so been studied for convex sequences
{yi}i=0n+1. |
| Keywords: interpo1ation,spline function,monotone increasing array,convex array,shape preserving spline interpo1ation |
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