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On the Univariate Vector-Valued Rational Interpolation and Recovery Problems

Author

Listed:
  • Lixia Xiao

    (School of Mathematics, Jilin University, Changchun 130012, China
    College of Mathematics Science, Inner Mongolia Minzu University, Tongliao 028000, China)

  • Peng Xia

    (School of Mathematics and Statistics, Liaoning University, Shenyang 110000, China)

  • Shugong Zhang

    (School of Mathematics, Jilin University, Changchun 130012, China
    Key Laboratory of Symbolic Computation and Knowledge Engineering (Ministry of Education), Jilin University, Changchun 130012, China)

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.

Suggested Citation

  • Lixia Xiao & Peng Xia & Shugong Zhang, 2024. "On the Univariate Vector-Valued Rational Interpolation and Recovery Problems," Mathematics, MDPI, vol. 12(18), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2896-:d:1479641
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    References listed on IDEAS

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    1. Nadjate Djellab & Abdellatif Boureghda, 2022. "A moving boundary model for oxygen diffusion in a sick cell," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 25(12), pages 1402-1408, August.
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