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cs.SC2021
Certified evaluations of Hölder continuous functions at roots of polynomials
Parker B. Edwards, Jonathan D. Hauenstein, Clifford D. Smyth
Various methods can obtain certified estimates for roots of polynomials. Many applications in science and engineering additionally utilize the value of functions evaluated at roots…
cs.SC2018
Solving determinantal systems using homotopy techniques
Jonathan D. Hauenstein, Mohab Safey El Din, Éric Schost +1
Let $\K$ be a field of characteristic zero and $\Kbar$ be an algebraic closure of $\K$. Consider a sequence of polynomials in $\K[X\_1,\dots,X\_n]$, a polynomi…