On row sequences of Pad\'e and Hermite-Pad\'e approximation
Complex Variables
2015-02-16 v1
Abstract
A survey of direct and inverse type results for row sequences of Pad\'e and Hermite-Pad\'e approximation is given. A conjecture is posed on an inverse type result for type II Hermite-Pad\'e approximation when it is known that the sequence of common denominators of the approximating vector rational functions has a limit. Some inverse type results are proved for the so called incomplete Pad\'e approximants which may lead to the proof of the conjecture and the connection is discussed.
Cite
@article{arxiv.1502.03958,
title = {On row sequences of Pad\'e and Hermite-Pad\'e approximation},
author = {Guillermo López Lagomasino},
journal= {arXiv preprint arXiv:1502.03958},
year = {2015}
}
Comments
12 pages