79 citations · 407 across the 53 of their papers we have counts for
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math.NA2014★ 2 cited
Certified counting of roots of random univariate polynomials
Joseph Cleveland, Jeffrey Dzugan, Jonathan D. Hauenstein +5
A challenging problem in computational mathematics is to compute roots of a high-degree univariate random polynomial. We combine an efficient multiprecision implementation for solv…
math.NA2014★ 1 cited
Global Newton Iteration over Archimedean and non-Archimedean Fields
Jonathan D. Hauenstein, Victor Pan, Agnes Szanto
In this paper, we study iterative methods on the coefficients of the rational univariate representation (RUR) of a given algebraic set, called global Newton iteration. We compare t…