1 citations · 1 across the 2 of their papers we have counts for
3 papers
cs.SC2020
On a non-archimedean broyden method
Xavier Dahan, Tristan Vaccon
Newton's method is an ubiquitous tool to solve equations, both in the archimedean and non-archimedean settings -- for which it does not really differ. Broyden was the instigator of…
cs.SC2018
Computation of gcd chain over the power of an irreducible polynomial
Xavier Dahan
A notion of gcd chain has been introduced by the author at ISSAC 2017 for two univariate monic polynomials with coefficients in a ring R = k[x_1, ..., x_n ]/(T) where T is a primar…
cs.SC2017★ 1 cited
On the bit-size of non-radical triangular sets
Xavier Dahan
We present upper bounds on the bit-size of coefficients of non-radical lexicographical Groebner bases in purely triangular form (triangular sets) of dimension zero. This extends a…