Direct and inverse results on row sequences of Hermite-Pad\'e approximants
Complex Variables
2015-02-15 v1 Classical Analysis and ODEs
Abstract
We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.
Keywords
Cite
@article{arxiv.1203.4947,
title = {Direct and inverse results on row sequences of Hermite-Pad\'e approximants},
author = {J. Cacoq and B. de la Calle Ysern and G. López Lagomasino},
journal= {arXiv preprint arXiv:1203.4947},
year = {2015}
}
Comments
27 pages