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math.AC2020
Lexicographic Groebner bases of bivariate polynomials modulo a univariate one
Xavier Dahan
Let T(x) in k[x] be a monic non-constant polynomial and write R=k[x] / (T) the quotient ring. Consider two bivariate polynomials a(x, y), b(x, y) in R[y]. In a first part, T = p^e…
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…