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A New Method for the Construction of Multivariate Minimal Interpolation Polynomial

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Approximation Theory and Its Applications

Abstract

The extended Hermite interpolation problem on segment points set over n-dimensional Euclidean space is considered. Based on the algorithm to compute the Gröbner basis of Ideal given by dual basis a new method to construct minimal multivariate polynomial which satisfies the interpolation conditions is given.

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Authors and Affiliations

  1. Department of Mathematics, Jinan University Guangzhou, 510632, China

    Zhang Chuanlin

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  1. Zhang Chuanlin
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Chuanlin, Z. A New Method for the Construction of Multivariate Minimal Interpolation Polynomial. Analysis in Theory and Applications 17, 10–17 (2001). https://doi.org/10.1023/A:1015575511373

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  • DOI: https://doi.org/10.1023/A:1015575511373

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