Josué Tonelli-Cueto | DeepAI

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Featured Co-authors

Elias Tsigaridas
18 publications
Peter Bürgisser
12 publications
Alperen A. Ergür
9 publications
Felipe Cucker
7 publications
Apostolos Chalkis
6 publications
Christina Katsamaki
4 publications
Jazz G. Suchen
1 publication

∙ 06/16/2022

Ultrametric Smale's α-theory

We present a version of Smale's α-theory for ultrametric fields, such as...

0 Jazz G. Suchen, et al. ∙

∙ 03/14/2022

A p-adic Descartes solver: the Strassman solver

Solving polynomials is a fundamental computational problem in mathematic...

0 Josué Tonelli-Cueto, et al. ∙

∙ 03/05/2022

On the Error of Random Sampling: Uniformly Distributed Random Points on Parametric Curves

Given a parametric polynomial curve γ:[a,b]→ℝ^n, how can we sample a ran...

0 Apostolos Chalkis, et al. ∙

∙ 02/13/2022

Beyond Worst-Case Analysis for Root Isolation Algorithms

Isolating the real roots of univariate polynomials is a fundamental prob...

0 Alperen A. Ergür, et al. ∙

∙ 02/23/2021

Functional norms, condition numbers and numerical algorithms in algebraic geometry

In numerical linear algebra, a well-established practice is to choose a ...

0 Felipe Cucker, et al. ∙

∙ 06/08/2020

Condition Numbers for the Cube. I: Univariate Polynomials and Hypersurfaces

The condition-based complexity analysis framework is one of the gems of ...

0 Josué Tonelli-Cueto, et al. ∙

∙ 04/15/2020

On the Complexity of the Plantinga-Vegter Algorithm

We introduce a general toolbox for precision control and complexity anal...

0 Felipe Cucker, et al. ∙

∙ 03/26/2019

Computing the Homology of Semialgebraic Sets. II: General formulas

We describe and analyze an algorithm for computing the homology (Betti n...

0 Peter Bürgisser, et al. ∙

∙ 01/26/2019

Plantinga-Vegter algorithm takes average polynomial time

We exhibit a condition-based analysis of the adaptive subdivision algori...

0 Felipe Cucker, et al. ∙

∙ 07/10/2018

Computing the Homology of Semialgebraic Sets I: Lax Formulas

We describe and analyze an algorithm for computing the homology (Betti n...

0 Peter Bürgisser, et al. ∙

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