arXiv Open Access 2021

Multivariate Power Series in Maple

Mohammadali Asadi Alexander Brandt Mahsa Kazemi Marc Moreno Maza Erik Postma

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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.

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cs.SC

Penulis (5)

Mohammadali Asadi

Alexander Brandt

Mahsa Kazemi

Marc Moreno Maza

Erik Postma

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APA MLA BibTeX

Asadi, M., Brandt, A., Kazemi, M., Maza, M.M., Postma, E. (2021). Multivariate Power Series in Maple. https://arxiv.org/abs/2106.15519

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Tahun Terbit: 2021
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓