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math.NA2022
New Progress in Classic Area: Polynomial Root-squaring and Root-finding
Victor Y. Pan
The DLG root-squaring iterations, due to Dandelin 1826 and rediscovered by Lobachevsky 1834 and Graeffe 1837, have been the main approach to root-finding for a univariate polynomia…
cs.SC2022
Accelerated Subdivision for Clustering Roots of Polynomials given by Evaluation Oracles
Rémi Imbach, Victor Y. Pan
In our quest for the design, the analysis and the implementation of a subdivision algorithm for finding the complex roots of univariate polynomials given by oracles for their evalu…