Graphical representations for the homogeneous bivariate Newton’s method
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DOI: 10.1016/j.amc.2015.07.102
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- Argyros, Ioannis K. & Magreñán, Á. Alberto, 2015. "On the convergence of an optimal fourth-order family of methods and its dynamics," Applied Mathematics and Computation, Elsevier, vol. 252(C), pages 336-346.
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- José Ignacio Extreminana-Aldana & José Manuel Gutiérrez-Jiménez & Luis Javier Hernández-Paricio & María Teresa Rivas-Rodríguéz, 2021. "A Graphic Method for Detecting Multiple Roots Based on Self-Maps of the Hopf Fibration and Nullity Tolerances," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
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Keywords
Roots of polynomial equations; Homogeneous bivariate Newton’s method; Discrete semi-flow; Intersection of algebraic curves; Fractals on the real projective plane; Basins of attraction on the Möbius band;All these keywords.
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