24 citations · 60 across the 22 of their papers we have counts for
4 papers · 1 filter
On FGLM Algorithms with Tropical Gröbner bases
Yuki Ishihara, Tristan Vaccon, Kazuhiro Yokoyama
Let K be a field equipped with a valuation. Tropical varieties over K can be defined with a theory of Gr{ö}bner bases taking into account the valuation of K. Because of the use of…
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…
Super-linear convergence in the p-adic QR-algorithm
Avinash Kulkarni, Tristan Vaccon
The QR-algorithm is one of the most important algorithms in linear algebra. Its several variants make feasible the computation of the eigenvalues and eigenvectors of a numerical re…
Signature-based algorithms for Gr{ö}bner bases over Tate algebras
Xavier Caruso, Tristan Vaccon, Thibaut Verron
Introduced by Tate in [Ta71], Tate algebras play a major role in the context of analytic geometry over the-adics, where they act as a counterpart to the use of polynomial algebras…