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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 ...
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10/21/2020
Rigid continuation paths II. Structured polynomial systems
We design a probabilistic algorithm that, given ϵ>0 and a polynomial sys...
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04/15/2020
On the Complexity of the Plantinga-Vegter Algorithm
We introduce a general toolbox for precision control and complexity anal...
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03/26/2019
Computing the Homology of Semialgebraic Sets. II: General formulas
We describe and analyze an algorithm for computing the homology (Betti n...
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01/26/2019
Plantinga-Vegter algorithm takes average polynomial time
We exhibit a condition-based analysis of the adaptive subdivision algori...
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07/10/2018
Computing the Homology of Semialgebraic Sets I: Lax Formulas
We describe and analyze an algorithm for computing the homology (Betti n...
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06/22/2017