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arXiv · 1905.04614

Change of basis for m-primary ideals in one and two variables

Seung Gyu Hyun·Stephen Melczer·Éric Schost·Catherine St-Pierre
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Abstract

Following recent work by van der Hoeven and Lecerf (ISSAC 2017), we discuss the complexity of linear mappings, called untangling and tangling by those authors, that arise in the context of computations with univariate polynomials. We give a slightly faster tangling algorithm and discuss new applications of these techniques. We show how to extend these ideas to bivariate settings, and use them to give bounds on the arithmetic complexity of certain algebras.

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Seung Gyu Hyun, Stephen Melczer, Éric Schost, Catherine St-Pierre. 2019-05-12. Change of basis for m-primary ideals in one and two variables. https://doi.org/10.1145/3326229.3326268

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