Formula for Hermite multivariate interpolation and partial fraction decomposition

Fuente: arXiv
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Autor principal: Hakopian, Hakop
Formato: Preprint
Publicado: 2026
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author Hakopian, Hakop
author_facet Hakopian, Hakop
contents We present a new formula for the Hermite multivariate interpolation problem in the framework of the Chung--Yao approach. By using the respective univariate interpolation formula, we obtain a direct and explicit solution to the classical partial fraction decomposition problem for rational functions, including the real case.
format Preprint
id arxiv_https___arxiv_org_abs_2602_02353
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Formula for Hermite multivariate interpolation and partial fraction decomposition
Hakopian, Hakop
Numerical Analysis
41A05, 26C15
We present a new formula for the Hermite multivariate interpolation problem in the framework of the Chung--Yao approach. By using the respective univariate interpolation formula, we obtain a direct and explicit solution to the classical partial fraction decomposition problem for rational functions, including the real case.
title Formula for Hermite multivariate interpolation and partial fraction decomposition
topic Numerical Analysis
41A05, 26C15
url https://arxiv.org/abs/2602.02353