Iterated Resultants in CAD

Published 31 Jul 2023 in cs.SC | (2307.16750v1)

Abstract: Cylindrical Algebraic Decomposition (CAD) by projection and lifting requires many iterated univariate resultants. It has been observed that these often factor, but to date this has not been used to optimise implementations of CAD. We continue the investigation into such factorisations, writing in the specific context of SC-Square.

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