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arXiv · 1204.3442

Solving via modular methods

Deeba Afzal·Faira Kanwal·Gerhard Pfister·Stefan Steidel
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Abstract

In this article we present a parallel modular algorithm to compute all solutions with multiplicities of a given zero-dimensional polynomial system of equations over the rationals. In fact, we compute a triangular decomposition using Möller's algorithm (cf. [Mö93]) of the corresponding ideal in the polynomial ring over the rationals using modular methods, and then apply a solver for univariate polynomials.

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Deeba Afzal, Faira Kanwal, Gerhard Pfister, Stefan Steidel. 2013-06-11. Solving via modular methods. https://arxiv.org/abs/1204.3442

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