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• W2951746875 abstract "The computation of triangular decompositions are based on two fundamental operations: polynomial GCDs modulo regular chains and regularity test modulo saturated ideals. We propose new algorithms for these core operations relying on modular methods and fast polynomial arithmetic. Our strategies take also advantage of the context in which these operations are performed. We report on extensive experimentation, comparing our code to pre-existing Maple implementations, as well as more optimized Magma functions. In most cases, our new code outperforms the other packages by several orders of magnitude." @default.
• W2951746875 created "2019-06-27" @default.
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• W2951746875 date "2009-03-21" @default.
• W2951746875 modified "2023-09-27" @default.
• W2951746875 title "Computations modulo regular chains" @default.
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