论单变量矢量有理插值和恢复问题

IF 2.3 3区数学 Q1 MATHEMATICS

Mathematics Pub Date : 2024-09-17 DOI:10.3390/math12182896

Lixia Xiao, Peng Xia, Shugong Zhang

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引用次数: 0

摘要

在本文中，我们考虑了一种新颖的矢量有理插值算法及其应用。与经典的矢量有理插值算法相比，本文提出的算法放宽了插值函数各分量分母必须相同的限制。此外，该算法还可以借助各分量分母之间的公共除数，按分量构建矢量有理插值函数。通过与经典的矢量有理插值算法进行实验比较，发现所提出的算法具有构造成本低、插值函数度数低和逼近精度高等特点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Univariate Vector-Valued Rational Interpolation and Recovery Problems

In this paper, we consider a novel vector-valued rational interpolation algorithm and its application. Compared to the classic vector-valued rational interpolation algorithm, the proposed algorithm relaxes the constraint that the denominators of components of the interpolation function must be identical. Furthermore, this algorithm can be applied to construct the vector-valued interpolation function component-wise, with the help of the common divisors among the denominators of components. Through experimental comparisons with the classic vector-valued rational interpolation algorithm, it is found that the proposed algorithm exhibits low construction cost, low degree of the interpolation function, and high approximation accuracy.

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来源期刊

Mathematics Mathematics-General Mathematics

CiteScore

4.00

自引率

16.70%

发文量

4032

审稿时长

21.9 days

期刊介绍： Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes exclusively to the publication of high-quality reviews, regular research papers and short communications in all areas of pure and applied mathematics. Mathematics also publishes timely and thorough survey articles on current trends, new theoretical techniques, novel ideas and new mathematical tools in different branches of mathematics.