Formula for Hermite multivariate interpolation and partial fraction decomposition
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.
Fields of Study & Subjects
Mathematical functions and polynomials
Polynomial and algebraic computation
Mathematical and Computational Methods
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 2 February 2026
- Document type
- Preprint