English

Formula for Hermite multivariate interpolation and partial fraction decomposition

Numerical Analysis 2026-02-06 v2 Numerical Analysis

Abstract

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.

Keywords

Cite

@article{arxiv.2602.02353,
  title  = {Formula for Hermite multivariate interpolation and partial fraction decomposition},
  author = {Hakop Hakopian},
  journal= {arXiv preprint arXiv:2602.02353},
  year   = {2026}
}

Comments

11 pages

R2 v1 2026-07-01T09:32:20.809Z