291 citations
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Showing 2020 · cs.SCShow all
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cs.SC2020
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…
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…