Solving via Modular Methods

Details Solving via Modular Methods Solving via Modular Methods

2012-04-16

arxiv.org/abs/1204.3442v1

Mathematics

Commutative Algebra

7 pages

Scientific paper

In this article we present a parallel modular algorithm to compute all
solutions of a given zero-dimensional polynomial system of equations over the
rationals. In fact, we compute a triangular decomposition 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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