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Newton's method on bring-Jerrard polynomials

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In this paper we study the topology of the hyperbolic component of the parameter plane for the Newton's method applied to n-degree Bring
Jerrard polynomials given by $P_{n}(z)=z^{n}-cz +1, c \in \mathbb{C}$. For $n=5$ using the Tschirnhaus
Bring
Jerrard nonlinear transformations, this family controls, at least theoretically, the roots of all quintic polynomials. We also study a bifurcation cascade of the bifurcation locus by considering $c\in\mathbb{R}$

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Publicacions Matemàtiques, 2014, vol. Extra, p. 81-109

# metadata.dc.rights[].value
(c) Universitat Autònoma de Barcelona, 2014

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Newton's method on bring-Jerrard polynomials