On the Univariate Vector-Valued Rational Interpolation and Recovery Problems

Lixia Xiao, Peng Xia () and Shugong Zhang
Additional contact information
Lixia Xiao: School of Mathematics, Jilin University, Changchun 130012, China
Peng Xia: School of Mathematics and Statistics, Liaoning University, Shenyang 110000, China
Shugong Zhang: School of Mathematics, Jilin University, Changchun 130012, China

Mathematics, 2024, vol. 12, issue 18, 1-16

Abstract: 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.

Keywords: vector-valued rational interpolation; vector-valued rational recovery; Gröbner basis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/18/2896/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/18/2896/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:18:p:2896-:d:1479641

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().