The Weierstrass–Durand–Kerner root finder is not generally convergent

Finding roots of univariate polynomials is one of the fundamental tasks of numerics, and there is still a wide gap between root finders that are well understood in theory and those that perform well in practice. We investigate the root-finding method of Weierstrass, also known as the Durand–Kerner-m...

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Veröffentlicht in:	Mathematics of computation 2022-11, Vol.92 (340), p.839-866
Hauptverfasser:	Reinke, Bernhard, Schleicher, Dierk, Stoll, Michael
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics
Online-Zugang:	Volltext
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