基于Lebesgue常数最小保水平渐近线的重心有理插值
Barycentric Rational Interpolation Based on Lebesgue Constant Minimum Level Preserving Asymptote
赵前进 1杨帆1
作者信息
- 1. 安徽理工大学数学与大数据学院,安徽淮南 232001
- 折叠
摘要
提出了一种保水平渐近线的重心有理插值方法.首先研究重心有理插值保水平渐近线的条件,进一步以Lebesgue常数最小为目标函数,同时以重心有理插值函数没有极点、没有不可达点、插值函数保水平渐近线以及重心权的规范化等为约束条件,建立优化模型解得最优权,从而得到保水平渐近线的重心有理插值.通过数值例子证明了算法有效性.
Abstract
In this paper,a barycentric rational interpolation method with horizontal asymptotes is pro-posed.Firstly,the condition of level preserving asymptotes is studied for BRI.Secondly,an optimal weights optimization model is constructed by using the minimum Lebesgue constant as the objective function.The constraint conditions of optimization model of the BRI include no pole,no inaccessible point,the interpolation function level preserving asymptotes,and the normalization of barycentric weights.Finally,the barycentric rational interpolation with horizontal-preserving asymptotes is ob-tained.The effectiveness of the algorithm is proved by numerical examples.
关键词
Lebesgue常数/重心有理插值/插值权/保水平渐近线Key words
Lebesgue constant/barycentric rational interpolation/interpolation weight/level preserving asymptote引用本文复制引用
基金项目
国家自然科学基金项目(60973050)
安徽理工大学环境友好材料与职业健康研究院(芜湖)研发专项(ALW2021YF09)
出版年
2024
NETL
NSTL
万方数据