most citedLocal polynomial factorisation: improving the Montes algorithm

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cs.SC2026★ 7 cited

Local polynomial factorisation: improving the Montes algorithm

Poteaux Adrien, Weimann Martin

We improve significantly the Nart-Montes algorithm for factoring polynomials over a complete discrete valuation ring . Our first contribution is to extend the Hensel le…

cs.SC2026

A Symbolic Homotopy Algorithm for Solving Composable Polynomial Systems

Thi Xuan Vu

We study the problem of computing the isolated regular solutions of a system \((f_1,\ldots,f_n)\) of \(n\) polynomial equations in \(n\) variables \((X_1, \dots, X_n)\) over a fiel…