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Paper detail

Computing monomial interpolating basis for multivariate polynomial interpolation

In this paper, we study how to quickly compute the <-minimal monomial interpolating basis for a multivariate polynomial interpolation problem. We address the notion of &#34;reverse&#34; reduced basis of linearly independent polynomials and design an algorithm for it. Based on the notion, for any monomial ordering we present a new method to read off the <-minimal monomial interpolating basis from monomials appearing in the polynomials representing the interpolation conditions.

preprint2020arXivOpen access
Y. H. GongX. JiangB. X. Shang
math.NANumerical Analysis
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Y. H. GongX. JiangB. X. Shang

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