Multivariate Power Series in Maple
Symbolic Computation
2021-06-30 v1
Abstract
We present MultivariatePowerSeries, a Maple library introduced in Maple 2021, providing a variety of methods to study formal multivariate power series and univariate polynomials over such series. This library offers a simple and easy-to-use user interface. Its implementation relies on lazy evaluation techniques and takes advantage of Maple's features for object-oriented programming. The exposed methods include Weierstrass Preparation Theorem and factorization via Hensel's lemma. The computational performance is demonstrated by means of an experimental comparison with software counterparts.
Cite
@article{arxiv.2106.15519,
title = {Multivariate Power Series in Maple},
author = {Mohammadali Asadi and Alexander Brandt and Mahsa Kazemi and Marc Moreno Maza and Erik Postma},
journal= {arXiv preprint arXiv:2106.15519},
year = {2021}
}