On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type
Numerical Analysis
2025-12-15 v1 Numerical Analysis
Abstract
In this paper a recursive algorithm is presented for evaluating multivariate Pad\'e approximants (of the rectangular type described in the work of Lutterodt) which is analogous to the Jacobi formula for univariate Pad\'e approximants. This algorithm is then applied to a (singular) Riccati differential equation to generate fast and accurate approximate solutions.
Cite
@article{arxiv.2512.11238,
title = {On the Jacobi formula for Bivariate Pade Approximants of Rectangular Type},
author = {Gareth Hegarty},
journal= {arXiv preprint arXiv:2512.11238},
year = {2025}
}
Comments
13 pages; The second of 3 papers with applications in pharmacometrics