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] |
|
|
|
本文已被:浏览 6097次 下载 5297次 |
保形的Hermite插值样条函数 |
方逵 |
(系统工程与应用数学系)
|
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: |
|
Shape Preserving Hermite Interpolation Spline Function |
Fang Kui |
(Department of Applied Mathematics and System Engineering)
|
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 |
|
|