Josué Tonelli-Cueto

activity

20182025

most citedComputing the Homology of Semialgebraic Sets. II: General formulas

14 citations · 53 across the 17 of their papers we have counts for

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2 papers · 1 filter

math.NA2022

Ultrametric Smale's $α$ -theory

Jazz G. Suchen, Josué Tonelli-Cueto

We present a version of Smale's $α$ -theory for ultrametric fields, such as the $p$ -adics and their extensions, which gives us a multivariate version of Hensel's lemma.

math.NA2021

Functional norms, condition numbers and numerical algorithms in algebraic geometry

Felipe Cucker, Alperen A. Ergür, Josué Tonelli-Cueto

In numerical linear algebra, a well-established practice is to choose a norm that exploits the structure of the problem at hand in order to optimize accuracy or computational compl…

Ultrametric Smale's α-theory

Functional norms, condition numbers and numerical algorithms in algebraic geometry

Ultrametric Smale's $α$ -theory